Message #1786

From: Eduard <>
Subject: Re: Infinite Regular Polyhedra Puzzles
Date: Wed, 15 Jun 2011 12:18:41 -0000


— In, Roice Nelson <roice3@…> wrote:
> Hi all,
> I’m excited to share some new puzzles based on Melinda’s "infinite regular
> polyhedra" (IRP) work. Please visit her
> page<>on
> these generalized polyhedra for background. The new puzzles will show
> in
> the puzzle menu in the latest build of MagicTile (click to
> download<>
> ).
> Each puzzle has both an IRP and a Poincare Disk view (which share the same
> topology), and you can toggle between the two views at any time via a new
> setting. One lovely thing about the IRP puzzles is that they feel more like
> working with a traditional 3D puzzle, though they are still by no means
> traditional! {3,7}, {4,6}, and {5,5} variants are available to start with,
> and I’ve placed a few screenshots
> here<>
> .
> If you study the new {3,7} enough, you’ll discover it is slightly different
> than the Klein Quartic version. It has 56 colors, but in order to map to
> the IRP, the pattern of connections between faces is new. However, it will
> still be just as difficult a permutation puzzle, so if you’d prefer to work
> with the IRP representation, my offer still stands to send a crystal cube to
> the first solver of all three {3,7} puzzles. It doesn’t matter if you
> choose to use the KQ or the IRP versions.
> I want to say thanks to Melinda for exposing me to these objects, for
> studying them and creating accessible data files in the first place, and for
> helping me get past various hurdles when trying to incorporate them into
> MagicTile.
> More IRP puzzles will surely trickle out over time too :)
> Cheers,
> Roice