[Icehouse] Size for 4 - 6 pointers (Was: Giant Martian Coaster boards)

[Christopher Hickman]

Yeah. Here's what I came up with:

Pip	Width	Height	Giant-W	Giant-H
0	0.34375	0.625	2.75	5
1	0.5625	1	4.5	8
2	0.78125	1.375	6.25	11
3	1	1.75	8	14
4	1.21875	2.125	9.75	17
5	1.4375	2.5	11.5	20
6	1.65625	2.875	13.25	23
7	1.875	3.25	15	26
8	2.09375	3.625	16.75	29
9	2.3125	4	18.5	32

I hope this comes through with some semblance of structure...

 
On Wednesday, January 10, 2007, at 03:04PM, <kerry_and_ryan at att.net> wrote:
> -------------- Original message ----------------------
>From: "Don Sheldon" <don.sheldon at gmail.com>
>> Each step is 3/8ths of an inch taller and approximately 7/32nds wider
>> (actually 3/14ths, but good luck finding that on your ruler), so a six
>> pip would be 2 1/8" tall and 1 21/32" wide.  Approximately.  (Actually
>> 1 9/14")
>
>3/14???  Let's try that again?
>
>Pips / Width / Height
>1 / 18/32 / 32/32
>2 / 25/32 / 44/32
>3 / 32/32 / 56/32
>
>Therefore...
>4 / 39/32 / 68/32
>5 / 46/32 / 80/32
>6 / 53/32 / 92/32  which is indeed 1 21/32 wide, but I'd say 2 7/8 tall. 
>
>In general...
>x / (7x+11)/32 / (12x+20)/32
>
>From: Christopher Hickman <tophu at mac.com>
>> >  And I think that IS linear growth, pretty much by definition.
>> 
>> Yeah. You're right.  I realize now what I thought I meant: the angles are not 
>> constant.  As the pyramids get bigger, the get more squat (that is, the linear 
>> growth of the base width is a larger ratio to the linear growth of the height).  
>> So, if you were to take a hypothetical 10 pointer and cut of the top 1 inch of 
>> the tip, it would NOT be a 1 pointer, because it would be waaaay too wide.
>
>Using the linear progression we've discovered, a -11/7 pip pyramid would have zero width and a height of 8/224 of an inch (0.03(571428)").  :-)
>
>Ryan
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