I DO agree with you that Andy is the official source of information on
pyramid sizes. He could pick any function he wants for sizes out side of
the existin 1-3 range. Heck, he could even just pick just arbitrary values
and they would, by definition, be correct.
However I disagree with your math. The angles for one-, two-, and
three-pointers don't make a linear relationship with the pip count. (I can
show my calculations if you'd like.) You COULD say that the angle is a
binomial or higher polynomial function of the pip count. You might also go
with some other function, such as an exponential or maybe some trig
function. But if you want to use LINEar interpolation, the only option that
works with the standard three sizes is height and width.
Now that I've ground away on some detailed little point (no pun intended),
let me back up a little:
How much does it really matter? Do we expect anyone to create a game where
the dimensions for a zero or thirty point pyramid actually make a
difference? Even now, how many games rely on the exact dimensions of the
pieces? Icehouse, IceTowers, Zendo, CrackeD'Ice, Thin Ice, and the
ever-popular Spicklehead. There are a couple that use opaque pieces to hide
smaller ones, and of course a bunch of games, such as Volcano, that use
stacked pieces. As long as a zero point piece can be hidden by a current
small, I don't see how a 32nd of an inch here or there makes a difference.
Ryan
----- Original Message -----
From: "Christopher Hickman" <tophu@xxxxxxx>
To: "Icehouse Discussion List" <icehouse@xxxxxxxxxxxxxxxxxxxx>
Sent: Sunday, March 04, 2007 11:00 AM
Subject: Re: [Icehouse] Official Guidance Needed (Was: 30 Pointer Alert)
On Mar 4, 2007, at 10:49 AM, Ryan McGuire wrote:
How about this page:
http://www.wunderland.com/icehouse/MakingIcehouse.html
Granted, that page doesn't extrapolate below one-pointers or above
three-pointers. However the dimensions for the three sizes shown DO
form linear relationships, so we might reasonably infer dimensions for
other sizes.
Right, but there are two different linear relationships that one may
extrapolate, the height/width or the angles, and doing so yields
different results. That's what I'm saying. It's been discussed several
times on this list and we've never heard straight from Andy what it
should be.
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