Subject:
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Pyramids
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Newsgroups:
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lugnet.general
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Date:
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Thu, 28 Jan 1999 01:34:18 GMT
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Viewed:
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764 times
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Copy of a reply I made to a post on RTL:
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On Wed, 27 Jan 1999 16:37:28 +0100, Frode Torske <Frode.Torske@hydro.com> wrote:
> It would take you exactly 4 extra 2x2 corner slopes, 44 2x4 slopes, and 4 2x2
> slopes.
> (The first layer, the rest of the pyramis will be as if you boult it directly
> on a 48x48 plate.)
> I don't think that will weigh a ton. ;-)
>
> Frode
>
> Tom Stangl, VFAQman wrote:
>
> > Not useless trivia to me - now I KNOW I want a newer plate. I plan on
> > slowly building a black pyramid (45 deg slopes on the outside) to cover
> > one, and that extra layer at the bottom would take a TON more slopes.
Incidentally, while writing Tom on this subject today I came up with the
following formulas for figuring out how many slopes it takes to build
a pyramid (assuming all 2x2 slopes as Tom is using):
For any pyramid of height 'n' where (n>2),
1x2 tri-faced slope - 2
2x2 corner slope - 4n-4 or 4(n-1) <-- 2nx2n baseplate
2x2 slope - 2n^2-6n+4
Total pieces - 2n^2-2n+2
Tom wants to build a pyramid to cover a 48x48 plate, so it will be 24 bricks
high (half the width).
1x2 tri-faced slope - 2
2x2 corner slope - 92 <-- 48x48 baseplate
2x2 slope - 1012
Total pieces - 1106
The 'nth' layer after the first layer has 4 2x2 corner slopes and
4(n-2) 2x2 slopes. Therefore a 50 stud plate would be 25 layers high
and add 4 corners and 92 more 2x2 slopes and the following totals:
1x2 tri-faced slope - 2
2x2 corner slope - 96 <-- 50x50 baseplate
2x2 slope - 1104
Total pieces - 1202
Rob
+-------------------------------------------+
| Rob Farver - rfarver@rcn.com |
| http://www.farver.com/lego/ |
| http://members.ebay.com/aboutme/rfarver |
+-------------------------------------------+
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Message has 1 Reply:
 | | Re: Pyramids
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| Great job! You knew all that algebra and geometry had to be good for something someday. Sure enough - for building toys. Rob Farver wrote in message <36b1be61.7834646@lu...et.com>... :Incidentally, while writing Tom on this subject today I came up (...) (26 years ago, 29-Jan-99, to lugnet.general)
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