Subject:
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Re: Pyramids
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Newsgroups:
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lugnet.general
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Date:
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Fri, 29 Jan 1999 02:24:53 GMT
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Viewed:
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842 times
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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@lugnet.com>...
: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
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Message has 1 Reply:
 | | Re: Pyramids
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| For any of you interested, here's how I came up with the slopes formula: Layer 1 and 2 have no 2x2 slopes, they start at layer 3. Layer 3 has 4, layer 4 has 8, 5 has 12, etc. (add 4 to each layer). This gives the series: sum(0,0,4,8,12, ... (...) (26 years ago, 29-Jan-99, to lugnet.general)
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Message is in Reply To:
| | Pyramids
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| Copy of a reply I made to a post on RTL: ---...--- (...) 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 (...) (26 years ago, 28-Jan-99, to lugnet.general)
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