[Icehouse] 30 Pointer Alert

[Don Sheldon]

On 3/3/07, Ryan McGuire <kerry_and_ryan at att.net> wrote:
> Except that those formulas don't produce the "standard" dimensions as I
> understand them.

Yes they do.  Check your math again.

>     Small  1 x 9/16
>     Medium 1 3/8 x 25/32
>     Large  1 3/4 x 1
>
> Are these not the dimensions you started with?

Yes, that's all correct.  When you round to the nearest 32nd (which is
part of the formula), they're dead on.

4/7 - 9/16 ~= 0.0089
11/14 - 25/32 ~= 0.0044

That's about 9 or 5 /thousands/ of an inch.  As you can see by the
attached graph of calculated pyramid widths, they're pretty much the
same until you get around 15 pips.

> Given those dimensions, the formulae would be...
>
>     Height = (5 + 3x)/8
>     Width = (11 + 7x)/32

But that breaks down severely at higher pips and deforms your pyramids
away from the beauty of the 4:7 ratio.

-- 
- |) () /\/
  I found an old copy of Maple I had in college, woohoo!
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