Message #2358

From: Roice Nelson <roice3@gmail.com>
Subject: Re: [MC4D] Re: Hyperbolic Honeycomb {7,3,3}
Date: Wed, 25 Jul 2012 22:32:32 -0500

On Mon, Jul 23, 2012 at 1:39 PM, Don Hatch wrote:

>
> Yes! I’d love to see an animation.
> Especially an animation in which the boundary of one of the {3,8}s is fixed
> and the rest of the picture moves.
>
> If the fixed {3,8} is the "outer"
> (or lower-half-plane, or southern hemisphere) one,
> then we’ll get the usual effect of panning around in hyperbolic 2-space:
> (both within the {3,8} itself, and, reflected, in the rest of the picture).
>
> But if we fix a *different* {3,8}…
> that’s what I’m really wanting to see.
> I think that would help me break my mind’s insistence
> on thinking the {3,8} has 8 "special" closest neighbors,
> when it really doesn’t.
>
>
Here ya go! A short video (just 150 frames). It could be improved for
sure, but I hope this first attempt is still useful. Feel free to make
suggestions (I don’t like the speedup at the end, for instance). The fixed
{3,8} boundary is highlighted in blue.

http://youtu.be/cQszcpIWeas

seeya,
Roice