Discussion Forum: Thread 315058

 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Dec 30, 2021 08:35
 Subject: What the 45 means in Slope 45 ?
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leggodtshop (3861)

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I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope
 Author: John_Miller View Messages Posted By John_Miller
 Posted: Dec 30, 2021 08:40
 Subject: Re: What the 45 means in Slope 45 ?
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John_Miller (149)

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In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope

I'm going with it's close enough to determine the difference in the slopes,
no need to be that accurate.
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Dec 30, 2021 08:45
 Subject: Re: What the 45 means in Slope 45 ?
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leggodtshop (3861)

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In Catalog, John_Miller writes:
  In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope

I'm going with it's close enough to determine the difference in the slopes,
no need to be that accurate.

That seems rather likely. It also does not say 45º just 45. Then it is more like
a name/type to distinghuish then a number indicating something like degrees.
 Author: BrickCompulsion View Messages Posted By BrickCompulsion
 Posted: Dec 30, 2021 08:42
 Subject: Re: What the 45 means in Slope 45 ?
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BrickCompulsion (2964)

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I presumed it was for 1 brick up for 1 stud along and then 1 brick up for 3 studs
length.
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Dec 30, 2021 08:50
 Subject: Re: What the 45 means in Slope 45 ?
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leggodtshop (3861)

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In Catalog, BrickCompulsion writes:
  I presumed it was for 1 brick up for 1 stud along and then 1 brick up for 3 studs
length.

For a Slope 45 2 x 1 that would result in 1 up 1 along = 45 degrees
For a Slope 33 3 x 1 that would result in 1 up 2 along = 27 degrees, not 33
Or
1 up 3 along = 18 degrees

Seems not to work like that
 Author: peregrinator View Messages Posted By peregrinator
 Posted: Dec 30, 2021 08:56
 Subject: Re: What the 45 means in Slope 45 ?
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peregrinator (764)

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In Catalog, patpendlego writes:
  In Catalog, BrickCompulsion writes:
  I presumed it was for 1 brick up for 1 stud along and then 1 brick up for 3 studs
length.

For a Slope 45 2 x 1 that would result in 1 up 1 along = 45 degrees
For a Slope 33 3 x 1 that would result in 1 up 2 along = 27 degrees, not 33


Or

  1 up 3 along = 18 degrees

Seems not to work like that

It works for that for 2x1 (45) and 4x1 (18) slopes, seems like 3x1 slopes are
the issue. I'd recommend against changing them now however
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Dec 30, 2021 09:03
 Subject: Re: What the 45 means in Slope 45 ?
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leggodtshop (3861)

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In Catalog, peregrinator writes:
  In Catalog, patpendlego writes:
  In Catalog, BrickCompulsion writes:
  I presumed it was for 1 brick up for 1 stud along and then 1 brick up for 3 studs
length.

For a Slope 45 2 x 1 that would result in 1 up 1 along = 45 degrees
For a Slope 33 3 x 1 that would result in 1 up 2 along = 27 degrees, not 33


Or

  1 up 3 along = 18 degrees

Seems not to work like that

It works for that for 2x1 (45) and 4x1 (18) slopes, seems like 3x1 slopes are
the issue. I'd recommend against changing them now however

So it seems, the 33 is the odd exception. Hence the "confusion".
 Author: SylvainLS View Messages Posted By SylvainLS
 Posted: Dec 30, 2021 08:46
 Subject: Re: What the 45 means in Slope 45 ?
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SylvainLS (46)

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In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

You forgot about the lip (around 1.6mm), so the slope is ~8mm long and ~8mm high,
which makes it ~45°.


(Skedadling before you think about apply the same reasoning to the 33 slope….)


  Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope
 Author: SylvainLS View Messages Posted By SylvainLS
 Posted: Dec 30, 2021 08:57
 Subject: Re: What the 45 means in Slope 45 ?
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SylvainLS (46)

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In Catalog, SylvainLS writes:
  In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

You forgot about the lip (around 1.6mm), so the slope is ~8mm long and ~8mm high,
which makes it ~45°.


(Skedadling before you think about apply the same reasoning to the 33 slope….)

*Skedaddling and *applying.


Anyway, LEGO calls
 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
“Roof Tile 1x2/45°” (with the °!) and
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope
“Roof
Tile 1x3/25°” (with the °!).
(The other parts in the familly also have 45° and 25°.)

I really don’t know where the 33 comes from.  Some AFOL with dyscalculia?
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Dec 30, 2021 09:01
 Subject: Re: What the 45 means in Slope 45 ?
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leggodtshop (3861)

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In Catalog, SylvainLS writes:
  In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

You forgot about the lip (around 1.6mm), so the slope is ~8mm long and ~8mm high,
which makes it ~45°.


For just one slope it is ~45° but building a roof won't result in a roof
of ~45° due to the lip it will turn out to be 50°

  
(Skedadling before you think about apply the same reasoning to the 33 slope….)

Doesn't work for 33

  

  Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope
 Author: yorbrick View Messages Posted By yorbrick
 Posted: Dec 30, 2021 08:54
 Subject: Re: What the 45 means in Slope 45 ?
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yorbrick (1182)

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In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope

Most are rounded results of arctan (height/width) in BL units (where even though
1 height is different to 1 wide in actual mm dimensions, they are the same 1
unit).

The odd one is 33, but that helps to differentiate it from the different family
of 30 'cheese' slopes.
 Author: yorbrick View Messages Posted By yorbrick
 Posted: Dec 30, 2021 08:58
 Subject: Re: What the 45 means in Slope 45 ?
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yorbrick (1182)

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In Catalog, yorbrick writes:
  In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope

Most are rounded results of arctan (height/width) in BL units (where even though
1 height is different to 1 wide in actual mm dimensions, they are the same 1
unit).

The odd one is 33, but that helps to differentiate it from the different family
of 30 'cheese' slopes.

Also lego call the 33 system 25°, but the 45 system 45°.
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Dec 30, 2021 09:26
 Subject: Re: What the 45 means in Slope 45 ? Resolution
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leggodtshop (3861)

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Thanks for all the replies, so now it seems that:

LEGO made the first Slope brick (known als Slope 45) where the slope itself is
as high as it is wide both 7.9375 mm resulting in 45° angle and a lip of 1.5870
mm and when building a roof resulting in 50° angle.

Then the next Slope brick (known as Slope 33) was created with the same lip height.
Somehow this got called 33 on BrickLink, but it's not 33° but 31° close enough.

LEGO got stuck with the lip height of 1.5870 which does not match e.g. a Plate,
just because they wanted a 45° angle at the start.

I was looking at Cobi parts, they made a different choice. They set the lip height
to Plate height, thus 3.1750 mm. Resulting in smoother models to be built with
these parts if put along side. This is how I got to my question.



In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope
 Author: Teup View Messages Posted By Teup
 Posted: Dec 30, 2021 10:20
 Subject: Re: What the 45 means in Slope 45 ? Resolution
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Teup (6591)

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In Catalog, patpendlego writes:
  LEGO got stuck with the lip height of 1.5870 which does not match e.g. a Plate,
just because they wanted a 45° angle at the start.

No, they didn't want that from the start, it's a logical result. That
lip is simply a panel width. Brick width + panel width = brick height. Removing
one panel width from the bottom of the brick and you're left with a perfect
cube. Then you cut the cube diagonally (=45 degrees) to get the slope.

  Then the next Slope brick (known as Slope 33) was created with the same lip height.
Somehow this got called 33 on BrickLink, but it's not 33° but 31° close enough.

Hmm, I think it's like 26.57 degrees? 2 steps wide and 1 step high, that
gives a tangent of 0.5... calculator says that's 26.57 degrees...
 Author: SylvainLS View Messages Posted By SylvainLS
 Posted: Dec 30, 2021 11:02
 Subject: Re: What the 45 means in Slope 45 ? Resolution
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SylvainLS (46)

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In Catalog, Teup writes:
  In Catalog, patpendlego writes:
  LEGO got stuck with the lip height of 1.5870 which does not match e.g. a Plate,
just because they wanted a 45° angle at the start.

No, they didn't want that from the start, it's a logical result. That
lip is simply a panel width. Brick width + panel width = brick height. Removing
one panel width from the bottom of the brick and you're left with a perfect
cube. Then you cut the cube diagonally (=45 degrees) to get the slope.

  Then the next Slope brick (known as Slope 33) was created with the same lip height.
Somehow this got called 33 on BrickLink, but it's not 33° but 31° close enough.

Hmm, I think it's like 26.57 degrees? 2 steps wide and 1 step high, that
gives a tangent of 0.5... calculator says that's 26.57 degrees...

Yes, but patpendlego calculates the slope of a stack of slopes, like he said
the 45° were actually 50°, and tan⁻¹(9.6/(2x8)) = 31°.
LEGO says 25° in the names, which is wrong too… but closer to 26.57° than 33°
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Dec 30, 2021 13:22
 Subject: Re: What the 45 means in Slope 45 ? Resolution
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leggodtshop (3861)

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In Catalog, Teup writes:
  In Catalog, patpendlego writes:
  LEGO got stuck with the lip height of 1.5870 which does not match e.g. a Plate,
just because they wanted a 45° angle at the start.

No, they didn't want that from the start, it's a logical result. That
lip is simply a panel width. Brick width + panel width = brick height. Removing
one panel width from the bottom of the brick and you're left with a perfect
cube. Then you cut the cube diagonally (=45 degrees) to get the slope.

A panel? Back in the old days when the Slope 45 was created there were no panels.
So, I don't think that was considered at all.

  
  Then the next Slope brick (known as Slope 33) was created with the same lip height.
Somehow this got called 33 on BrickLink, but it's not 33° but 31° close enough.

Hmm, I think it's like 26.57 degrees? 2 steps wide and 1 step high, that
gives a tangent of 0.5... calculator says that's 26.57 degrees...
 Author: yorbrick View Messages Posted By yorbrick
 Posted: Dec 30, 2021 10:24
 Subject: Re: What the 45 means in Slope 45 ? Resolution
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yorbrick (1182)

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Isn't the step / lip so that the outer antistuds underneath work.
 Author: SylvainLS View Messages Posted By SylvainLS
 Posted: Dec 30, 2021 11:03
 Subject: Re: What the 45 means in Slope 45 ? Resolution
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SylvainLS (46)

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In Catalog, yorbrick writes:
  Isn't the step / lip so that the outer antistuds underneath work.

Yes, I thought so too.
And that’s why some inverted slopes have a smaller lip… and it doesn’t look good.
 Author: tec View Messages Posted By tec
 Posted: Dec 30, 2021 13:18
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tec (61)

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in the old times, old tools ruled
 
 Author: eileenkeeney View Messages Posted By eileenkeeney
 Posted: Dec 31, 2021 17:09
 Subject: Re: What the 45 means in Slope 45 ?
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eileenkeeney (1610)

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In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope

It has to be less than 45, not more than 45 because when I put two together (slope
to slope) I get an angle very slightly less than 90 degrees. This was the easiest
test for me to do. The measurement of the actual slope can not include the full
length and height, just the length and height of the part containing the actual
slope.
 Author: tEoS View Messages Posted By tEoS
 Posted: Dec 31, 2021 17:57
 Subject: Re: What the 45 means in Slope 45 ?
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tEoS (5297)

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You are correct. With my digital angle tool for wood trim, it appears to be
between 43 and 43.3 degrees.

The 33 1x3 is about 25.5 degrees.

  It has to be less than 45, not more than 45 because when I put two together (slope
to slope) I get an angle very slightly less than 90 degrees. This was the easiest
test for me to do. The measurement of the actual slope can not include the full
length and height, just the length and height of the part containing the actual
slope.
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Dec 31, 2021 19:26
 Subject: Re: What the 45 means in Slope 45 ?
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Store: Leggodt.nl
You couldn't be more wrong
Remeasure and recalculate.

In Catalog, tEoS writes:
  You are correct. With my digital angle tool for wood trim, it appears to be
between 43 and 43.3 degrees.

The 33 1x3 is about 25.5 degrees.

  It has to be less than 45, not more than 45 because when I put two together (slope
to slope) I get an angle very slightly less than 90 degrees. This was the easiest
test for me to do. The measurement of the actual slope can not include the full
length and height, just the length and height of the part containing the actual
slope.
 Author: eileenkeeney View Messages Posted By eileenkeeney
 Posted: Jan 1, 2022 13:34
 Subject: Re: What the 45 means in Slope 45 ?
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eileenkeeney (1610)

Location:  USA, Oregon
Member Since Contact Type Status
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In Catalog, patpendlego writes:
  You couldn't be more wrong
Remeasure and recalculate.

In Catalog, tEoS writes:
  You are correct. With my digital angle tool for wood trim, it appears to be
between 43 and 43.3 degrees.

The 33 1x3 is about 25.5 degrees.

  It has to be less than 45, not more than 45 because when I put two together (slope
to slope) I get an angle very slightly less than 90 degrees. This was the easiest
test for me to do. The measurement of the actual slope can not include the full
length and height, just the length and height of the part containing the actual
slope.

Are you saying my logic is wrong, or that the digital tool is wrong?

I am only trying to show that the angle is less than 45 degrees.
Can you explain why this test is not accurate for determining if the angle is
less than 45 degrees?
The bottom of the piece runs parallel to the adjacent side of the triangle
The back of the piece runs parallel to the opposite side of the triangle
Therefore, if the angle is greater than 45 degrees, shouldn't the angle of
the combined pieces, as shown in the below image, form an angle of more than
90 degrees, not less than 90 degrees?
 
 Author: yorbrick View Messages Posted By yorbrick
 Posted: Jan 1, 2022 14:46
 Subject: Re: What the 45 means in Slope 45 ?
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yorbrick (1182)

Location:  United Kingdom, England
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In Catalog, eileenkeeney writes:
  In Catalog, patpendlego writes:
  You couldn't be more wrong
Remeasure and recalculate.

In Catalog, tEoS writes:
  You are correct. With my digital angle tool for wood trim, it appears to be
between 43 and 43.3 degrees.

The 33 1x3 is about 25.5 degrees.

  It has to be less than 45, not more than 45 because when I put two together (slope
to slope) I get an angle very slightly less than 90 degrees. This was the easiest
test for me to do. The measurement of the actual slope can not include the full
length and height, just the length and height of the part containing the actual
slope.

Are you saying my logic is wrong, or that the digital tool is wrong?

I am only trying to show that the angle is less than 45 degrees.
Can you explain why this test is not accurate for determining if the angle is
less than 45 degrees?
The bottom of the piece runs parallel to the adjacent side of the triangle
The back of the piece runs parallel to the opposite side of the triangle
Therefore, if the angle is greater than 45 degrees, shouldn't the angle of
the combined pieces, as shown in the below image, form an angle of more than
90 degrees, not less than 90 degrees?

You are right. It is including the height of the step that is the issue.

The angle of the slope depends on whether you measure the slope of a single part
or the overall slope of multiple stacked parts.
 Author: eileenkeeney View Messages Posted By eileenkeeney
 Posted: Jan 1, 2022 16:58
 Subject: Re: What the 45 means in Slope 45 ?
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eileenkeeney (1610)

Location:  USA, Oregon
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In Catalog, yorbrick writes:
  In Catalog, eileenkeeney writes:
  In Catalog, patpendlego writes:
  You couldn't be more wrong
Remeasure and recalculate.

In Catalog, tEoS writes:
  You are correct. With my digital angle tool for wood trim, it appears to be
between 43 and 43.3 degrees.

The 33 1x3 is about 25.5 degrees.

  It has to be less than 45, not more than 45 because when I put two together (slope
to slope) I get an angle very slightly less than 90 degrees. This was the easiest
test for me to do. The measurement of the actual slope can not include the full
length and height, just the length and height of the part containing the actual
slope.

Are you saying my logic is wrong, or that the digital tool is wrong?

I am only trying to show that the angle is less than 45 degrees.
Can you explain why this test is not accurate for determining if the angle is
less than 45 degrees?
The bottom of the piece runs parallel to the adjacent side of the triangle
The back of the piece runs parallel to the opposite side of the triangle
Therefore, if the angle is greater than 45 degrees, shouldn't the angle of
the combined pieces, as shown in the below image, form an angle of more than
90 degrees, not less than 90 degrees?

You are right. It is including the height of the step that is the issue.

The angle of the slope depends on whether you measure the slope of a single part
or the overall slope of multiple stacked parts.

So folks are measuring different things, explaining the different results. That
makes complete sense.
 Author: SylvainLS View Messages Posted By SylvainLS
 Posted: Jan 1, 2022 17:19
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 42 times
 Topic: Catalog
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SylvainLS (46)

Location:  France, Nouvelle-Aquitaine
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In Catalog, eileenkeeney writes:
  […]
So folks are measuring different things, explaining the different results. That
makes complete sense.

Yes… well… except for “33”: the only way I can find to get to that number is
to say “the brick is 3 units long and 1 unit high which makes it a 33% slope”
(%, not °, not a typo), except that the vertical unit is not the same as the
horizontal one and it counts the stud.
That or discaculia or dislexia (changing 31° into 33)…
… and a mighty bunch of people just repeating without understanding and/or correcting.

Just enough mystery for the words “Templars” or “aliens” to come to mind


Also makes me think of this joke:

A foreign lord is visiting a monastery, and the abbot explains how the monks
work at copying manuscripts.  And the lord asks:
“So, the monks copy the original books?”
“Oh, no!  Those are too precious and fragile, they are copying the last copy.”
“But what happens if someone makes an error in copying?  Then the error will
be copied again and other errors will be added?”
At these words, a monk working next to them jumps from his seat and rushes out.
Everyone is astounded for a minute and then they hear wails and cries and go
check what it’s about.
They quickly find the monk in the archives, were the oldest books are kept.
He’s holding an old parchment and crying.
“What’s he holding?” asks the lord.
“Oh, it looks like the original of our order’s rules” answers the abbot.
“And why is he crying?”
And the crying monk says “It’s celebrate!  Not celibate!”
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Jan 1, 2022 18:29
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 39 times
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leggodtshop (3861)

Location:  Netherlands, Overijssel
Member Since Contact Type Status
Aug 11, 2006 Contact Member Seller
Buying Privileges - OKSelling Privileges - OK
Store: Leggodt.nl
In Catalog, SylvainLS writes:
  In Catalog, eileenkeeney writes:
  […]
So folks are measuring different things, explaining the different results. That
makes complete sense.

Yes… well… except for “33”: the only way I can find to get to that number is
to say “the brick is 3 units long and 1 unit high which makes it a 33% slope”
(%, not °, not a typo), except that the vertical unit is not the same as the
horizontal one and it counts the stud.
That or discaculia or dislexia (changing 31° into 33)…
… and a mighty bunch of people just repeating without understanding and/or correcting.

Just enough mystery for the words “Templars” or “aliens” to come to mind


Also makes me think of this joke:

A foreign lord is visiting a monastery, and the abbot explains how the monks
work at copying manuscripts.  And the lord asks:
“So, the monks copy the original books?”
“Oh, no!  Those are too precious and fragile, they are copying the last copy.”
“But what happens if someone makes an error in copying?  Then the error will
be copied again and other errors will be added?”
At these words, a monk working next to them jumps from his seat and rushes out.
Everyone is astounded for a minute and then they hear wails and cries and go
check what it’s about.
They quickly find the monk in the archives, were the oldest books are kept.
He’s holding an old parchment and crying.
“What’s he holding?” asks the lord.
“Oh, it looks like the original of our order’s rules” answers the abbot.
“And why is he crying?”
And the crying monk says “It’s celebrate!  Not celibate!”

 Author: axaday View Messages Posted By axaday
 Posted: Dec 31, 2021 22:11
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 62 times
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axaday (7301)

Location:  USA, Oklahoma
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I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.

In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope
 Author: popsicle View Messages Posted By popsicle
 Posted: Dec 31, 2021 23:37
 Subject: Re: What the 45 means in Slope 45 ?
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popsicle (6654)

Location:  USA, Washington
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As I understand it, the only reason to add angle to the dimensions, is to allow
for differentiating between the angles. Ironically, the other dimensions illustrate
the difference well enough vis-à-vis slope. The added number only serves to convolute
the dimensions and their usefulness. It’s superfluous, imho.

-popsicle

  In Catalog, axaday writes:
I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.

In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope
 Author: Stellar View Messages Posted By Stellar
 Posted: Jan 1, 2022 07:06
 Subject: Re: What the 45 means in Slope 45 ?
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 Topic: Catalog
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Stellar (3482)

Location:  Spain, Comunidad Valenciana
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In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.


There needs to be an indicator of the piece "slope" degree, even if not accurate,
but it serves to know which ones share the same angle.

  
In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Jan 1, 2022 09:11
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 31 times
 Topic: Catalog
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leggodtshop (3861)

Location:  Netherlands, Overijssel
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Store: Leggodt.nl
In Catalog, Stellar writes:
  In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.


There needs to be an indicator of the piece "slope" degree, even if not accurate,
but it serves to know which ones share the same angle.

IMO there does not... Slope 2 x 1 or Slope 3 x 1 says it all. No confusion about
the 45 or 33 (which is incorrect anyway).

  
  
In Catalog, patpendlego writes:
  I always assumed the 45 in Slope 45 means 45 degrees, and in Slope 33 it means
33 degrees, however if you calculate the exact degrees based on brick measures
it is not.

A standard 1 x 1 brick measures 7.9375 mm x 9.5250 mm (length/width x height
without the stud).

Building with Slope 45 bricks results in a slope of 50 degrees, not 45.
Building with Slope 33 bricks results in a slope of 31 degrees, not 33.

As is well know, assumptions are the mother of all f*ups, so I most likely assumed
wrong

Therefore... just curious, where do the 45 and 33 come from?

 
Part No: 3040  Name: Slope 45 2 x 1
* 
3040 Slope 45 2 x 1
Parts: Slope
 
Part No: 4286  Name: Slope 33 3 x 1
* 
4286 Slope 33 3 x 1
Parts: Slope
 Author: Shiny_Stuff View Messages Posted By Shiny_Stuff
 Posted: Jan 1, 2022 09:36
 Subject: Re: What the 45 means in Slope 45 ?
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Shiny_Stuff (1269)

Location:  USA, New York
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In Catalog, patpendlego writes:
  In Catalog, Stellar writes:
  In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.


There needs to be an indicator of the piece "slope" degree, even if not accurate,
but it serves to know which ones share the same angle.

IMO there does not... Slope 2 x 1 or Slope 3 x 1 says it all. No confusion about
the 45 or 33 (which is incorrect anyway).


The degree in the name gives them A NAME -- something to call them by.

I have been playing with LEGO for over 40 years and have always used the degree
of 45 or 33 to indicate what piece I am talking about (with other people).

The degree of slope is how many people label storage containers, too, such as
a label that reads 33 Degree Slopes, etc.

I have a Lego friend who is even older than me (he is now 64 years old) and has
been playing with Lego his entire life. He actually NEVER calls them Slope --
his word is BEVEL BRICKS -- but he says 45 degree Bevel Brick or 33 degree
Bevel Brick and I know EXACTLY which pieces he is talking about.

And your example doesn't work with these pieces:
Slope 2 x 3 versus Slope 3 x 2. They are NOT the same as one is 33 and the
other is 45.

In fact, more than one seller on BL has shipped me the WRONG piece when I have
ordered Slope 2 x 3 and they sent me Slope 2 x 3.

We definitely need to keep the degree in the names, even if it is not exactly
correct mathematically.

____
 Author: Shiny_Stuff View Messages Posted By Shiny_Stuff
 Posted: Jan 1, 2022 09:50
 Subject: Re: What the 45 means in Slope 45 ?
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Shiny_Stuff (1269)

Location:  USA, New York
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In Catalog, Shiny_Stuff writes:
  In Catalog, patpendlego writes:
  In Catalog, Stellar writes:
  In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.


There needs to be an indicator of the piece "slope" degree, even if not accurate,
but it serves to know which ones share the same angle.

IMO there does not... Slope 2 x 1 or Slope 3 x 1 says it all. No confusion about
the 45 or 33 (which is incorrect anyway).


The degree in the name gives them A NAME -- something to call them by.

I have been playing with LEGO for over 40 years and have always used the degree
of 45 or 33 to indicate what piece I am talking about (with other people).

The degree of slope is how many people label storage containers, too, such as
a label that reads 33 Degree Slopes, etc.

I have a Lego friend who is even older than me (he is now 64 years old) and has
been playing with Lego his entire life. He actually NEVER calls them Slope --
his word is BEVEL BRICKS -- but he says 45 degree Bevel Brick or 33 degree
Bevel Brick and I know EXACTLY which pieces he is talking about.

And your example doesn't work with these pieces:
Slope 2 x 3 versus Slope 3 x 2. They are NOT the same as one is 33 and the
other is 45.

In fact, more than one seller on BL has shipped me the WRONG piece when I have
ordered Slope 2 x 3 and they sent me Slope 2 x 3.

We definitely need to keep the degree in the names, even if it is not exactly
correct mathematically.

____


And Here is the origin of the name Bevelled Brick:

 
Set No: 281  Name: 1 x 2 and 3 x 2 Sloping Bricks, Red
* 
281-1 (Inv) 1 x 2 and 3 x 2 Sloping Bricks, Red
21 Parts, 1959
Sets: Classic: Supplemental


In 1987 catalogs, LEGO decided to name 33 degree slopes as 25 degree slopes

 
Set No: 5152  Name: Roof Bricks, Red, 25 degrees
* 
5152-1 (Inv) Roof Bricks, Red, 25 degrees
60 Parts, 1987
Sets: Service Packs


____
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Jan 1, 2022 11:42
 Subject: Re: What the 45 means in Slope 45 ?
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leggodtshop (3861)

Location:  Netherlands, Overijssel
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In Catalog, Shiny_Stuff writes:
  

And Here is the origin of the name Bevelled Brick:

 
Set No: 281  Name: 1 x 2 and 3 x 2 Sloping Bricks, Red
* 
281-1 (Inv) 1 x 2 and 3 x 2 Sloping Bricks, Red
21 Parts, 1959
Sets: Classic: Supplemental


In 1987 catalogs, LEGO decided to name 33 degree slopes as 25 degree slopes

 
Set No: 5152  Name: Roof Bricks, Red, 25 degrees
* 
5152-1 (Inv) Roof Bricks, Red, 25 degrees
60 Parts, 1987
Sets: Service Packs


____

Looking at the inventory of 5152-1 it contains Slope 33 not 25 as the set implies
 Author: SylvainLS View Messages Posted By SylvainLS
 Posted: Jan 1, 2022 11:54
 Subject: Re: What the 45 means in Slope 45 ?
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SylvainLS (46)

Location:  France, Nouvelle-Aquitaine
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In Catalog, patpendlego writes:
  […]
  In 1987 catalogs, LEGO decided to name 33 degree slopes as 25 degree slopes

 
Set No: 5152  Name: Roof Bricks, Red, 25 degrees
* 
5152-1 (Inv) Roof Bricks, Red, 25 degrees
60 Parts, 1987
Sets: Service Packs


____

Looking at the inventory of 5152-1 it contains Slope 33 not 25 as the set implies


 
Set No: 1213  Name: Space Radar Disks
* 
1213-1 (Inv) Space Radar Disks
5 Parts, 1982
Sets: Service Packs: Space
 
Set No: 5198  Name: Small Plates, Disks and Cones
* 
5198-1 (Inv) Small Plates, Disks and Cones
48 Parts, 1989
Sets: Service Packs
and a couple others contain no disks, contrarily to what the set names imply
 Author: yorbrick View Messages Posted By yorbrick
 Posted: Jan 1, 2022 10:52
 Subject: Re: What the 45 means in Slope 45 ?
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yorbrick (1182)

Location:  United Kingdom, England
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  There needs to be an indicator of the piece "slope" degree, even if not accurate,
but it serves to know which ones share the same angle.

IMO there does not... Slope 2 x 1 or Slope 3 x 1 says it all. No confusion about
the 45 or 33 (which is incorrect anyway).


So how about you ignore them, and other people that want to use them to identify
parts that naturally fit together can use them. I find there are many keywords
added to descriptions that I never use and are therefore superfluous (at least
to my way of searching).
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Jan 1, 2022 18:38
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 39 times
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leggodtshop (3861)

Location:  Netherlands, Overijssel
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In Catalog, yorbrick writes:
  
  
  There needs to be an indicator of the piece "slope" degree, even if not accurate,
but it serves to know which ones share the same angle.

IMO there does not... Slope 2 x 1 or Slope 3 x 1 says it all. No confusion about
the 45 or 33 (which is incorrect anyway).


So how about you ignore them, and other people that want to use them to identify
parts that naturally fit together can use them. I find there are many keywords
added to descriptions that I never use and are therefore superfluous (at least
to my way of searching).

In all my 50 years of playing, collecting, buying, selling and talking about
lego slopes I never ever had the need of something like a 45 degree roof or 33
degree rampage I just wanted to built a good looking roof .

So I never gave it any thought or attention, indeed just ignoring it most
of the time. The one time it is practical is when sorting the slopes online to
find all the ones alike.
 Author: yorbrick View Messages Posted By yorbrick
 Posted: Jan 2, 2022 04:38
 Subject: Re: What the 45 means in Slope 45 ?
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yorbrick (1182)

Location:  United Kingdom, England
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In Catalog, patpendlego writes:
  In Catalog, yorbrick writes:
  
  
  There needs to be an indicator of the piece "slope" degree, even if not accurate,
but it serves to know which ones share the same angle.

IMO there does not... Slope 2 x 1 or Slope 3 x 1 says it all. No confusion about
the 45 or 33 (which is incorrect anyway).


So how about you ignore them, and other people that want to use them to identify
parts that naturally fit together can use them. I find there are many keywords
added to descriptions that I never use and are therefore superfluous (at least
to my way of searching).

In all my 50 years of playing, collecting, buying, selling and talking about
lego slopes I never ever had the need of something like a 45 degree roof or 33
degree rampage I just wanted to built a good looking roof .

So I never gave it any thought or attention, indeed just ignoring it most
of the time. The one time it is practical is when sorting the slopes online to
find all the ones alike.

And that is the point of the label, knowing which ones work together.

For example, [p=3046a]

No doubt you can come up with dimensions to code up the system that will be the
same as regular slopes, but the two character "45" (3 if you include a space)
is much more efficient. It doesn't matter what the exact angle is, just like
it doesn't matter if all the torsos with "ascot" have true ascot ties, or
neckerchiefs, or cravats, or whatever someone wants to call them. Learning it
is called an ascot here finds them all, so long as the term is used consistently.
 Author: Give.Me.A.Brick View Messages Posted By Give.Me.A.Brick
 Posted: Jan 1, 2022 10:00
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 63 times
 Topic: Catalog
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Give.Me.A.Brick (10597)

Location:  Portugal
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Nov 25, 2002 Contact Member Seller
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In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.

I agree to a certain point but if we would get rid of the angles, then we would
need the height for some slopes. Not sure what would be best though.

 
Part No: 3043  Name: Slope 45 2 x 2 Double
* 
3043 Slope 45 2 x 2 Double
Parts: Slope
 
Part No: 3300  Name: Slope 33 2 x 2 Double
* 
3300 Slope 33 2 x 2 Double
Parts: Slope
 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Jan 1, 2022 11:44
 Subject: (Cancelled)
 Viewed: 24 times
 Topic: Catalog
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leggodtshop (3861)

Location:  Netherlands, Overijssel
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 Author: leggodtshop View Messages Posted By leggodtshop
 Posted: Jan 1, 2022 11:45
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 38 times
 Topic: Catalog
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leggodtshop (3861)

Location:  Netherlands, Overijssel
Member Since Contact Type Status
Aug 11, 2006 Contact Member Seller
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Store: Leggodt.nl
In Catalog, Give.Me.A.Brick writes:
  In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.

I agree to a certain point but if we would get rid of the angles, then we would
need the height for some slopes. Not sure what would be best though.

 
Part No: 3043  Name: Slope 45 2 x 2 Double
* 
3043 Slope 45 2 x 2 Double
Parts: Slope
 
Part No: 3300  Name: Slope 33 2 x 2 Double
* 
3300 Slope 33 2 x 2 Double
Parts: Slope

Convention is that if the height is 1 brick high that is not mentioned.

However 3300 is less high so it would be Slope 2 x 2 x 2/3 Double ?
 Author: popsicle View Messages Posted By popsicle
 Posted: Jan 1, 2022 12:10
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 52 times
 Topic: Catalog
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popsicle (6654)

Location:  USA, Washington
Member Since Contact Type Status
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Store: ConstrucToys
In Catalog, Give.Me.A.Brick writes:
  In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.

I agree to a certain point but if we would get rid of the angles, then we would
need the height for some slopes. Not sure what would be best though.

 
Part No: 3043  Name: Slope 45 2 x 2 Double
* 
3043 Slope 45 2 x 2 Double
Parts: Slope
 
Part No: 3300  Name: Slope 33 2 x 2 Double
* 
3300 Slope 33 2 x 2 Double
Parts: Slope

Yes. Where needed, replace given angle with the missing dimension.
 Author: popsicle View Messages Posted By popsicle
 Posted: Jan 1, 2022 12:18
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 49 times
 Topic: Catalog
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popsicle (6654)

Location:  USA, Washington
Member Since Contact Type Status
Feb 21, 2006 Contact Member Seller
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Store: ConstrucToys
In Catalog, popsicle writes:
  In Catalog, Give.Me.A.Brick writes:
  In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.

I agree to a certain point but if we would get rid of the angles, then we would
need the height for some slopes. Not sure what would be best though.

 
Part No: 3043  Name: Slope 45 2 x 2 Double
* 
3043 Slope 45 2 x 2 Double
Parts: Slope
 
Part No: 3300  Name: Slope 33 2 x 2 Double
* 
3300 Slope 33 2 x 2 Double
Parts: Slope

Yes. Where needed, replace given angle with the missing dimension.

Giving more perspective to the slope
 Author: M_R View Messages Posted By M_R
 Posted: Jan 2, 2022 01:36
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 38 times
 Topic: Catalog
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M_R (4566)

Location:  Sweden, Södermanland
Member Since Contact Type Status
Sep 3, 2003 Contact Member Seller
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Store: Mike´s BrickVault
In Catalog, popsicle writes:
  In Catalog, popsicle writes:
  In Catalog, Give.Me.A.Brick writes:
  In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.

I agree to a certain point but if we would get rid of the angles, then we would
need the height for some slopes. Not sure what would be best though.

 
Part No: 3043  Name: Slope 45 2 x 2 Double
* 
3043 Slope 45 2 x 2 Double
Parts: Slope
 
Part No: 3300  Name: Slope 33 2 x 2 Double
* 
3300 Slope 33 2 x 2 Double
Parts: Slope

Yes. Where needed, replace given angle with the missing dimension.

Giving more perspective to the slope

This really is a slippery slope topic !
 Author: popsicle View Messages Posted By popsicle
 Posted: Jan 2, 2022 03:23
 Subject: Re: What the 45 means in Slope 45 ?
 Viewed: 48 times
 Topic: Catalog
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popsicle (6654)

Location:  USA, Washington
Member Since Contact Type Status
Feb 21, 2006 Contact Member Seller
Buying Privileges - OKSelling Privileges - OK
Store: ConstrucToys
In Catalog, M_R writes:
  In Catalog, popsicle writes:
  In Catalog, popsicle writes:
  In Catalog, Give.Me.A.Brick writes:
  In Catalog, axaday writes:
  I really don’t see any need for the 45 or 33, even if they were accurate. No
one is using Lego to help with their math homework or to do technical drawings.
The footprint dimensions and the picture together ought to tell anyone what they
need to know.

I agree to a certain point but if we would get rid of the angles, then we would
need the height for some slopes. Not sure what would be best though.

 
Part No: 3043  Name: Slope 45 2 x 2 Double
* 
3043 Slope 45 2 x 2 Double
Parts: Slope
 
Part No: 3300  Name: Slope 33 2 x 2 Double
* 
3300 Slope 33 2 x 2 Double
Parts: Slope

Yes. Where needed, replace given angle with the missing dimension.

Giving more perspective to the slope

This really is a slippery slope topic !

A topic with various angles and no right angles