Message #2328

From: Melinda Green <>
Subject: Re: [MC4D] Re: Hyperbolic Honeycomb {7,3,3}
Date: Wed, 11 Jul 2012 23:02:51 -0700

Wow! I guessed I missed the picture too. That is gorgeous!
So how does this get sliced into a twisty puzzle, and does that happen
in 2D or 3? :-)

On 7/11/2012 10:52 PM, Don Hatch wrote:
> […]
> Ah, I see your image…
> I thought it was an attachment, but it was a link
> which didn’t come out in my dumb e-mail client:
> That gives me a *much* better feeling for the {3,3,inf} and {inf,3,3}.
> Beautiful!
> This picture is precisely the intersection of the {3,3,inf}
> with the plane-at-infinity, in the poincare half-space model of H3, right?
> Totally frickin awesome.
> If we focus attention on any particular triangle
> in he picture, and consider it and its 3 reflected images
> in adjacent circles of the gasket, than that’s what we see of one particular {3,3} cell.
> (And I believe the exact same statement can be made
> about the analogous picture for {3,3,7}, which I’m imagining…
> same gasket, with each circle filled with a {3,7} instead of {3,inf}… I think)
> Don