Message #2494

From: Roice Nelson <roice3@gmail.com>
Subject: Re: [MC4D] New Klein Quartic puzzle by Gelatinbrain
Date: Thu, 22 Nov 2012 13:52:28 -0600

I agree! It’s really intriguing how the shape changes after moving the
viewpoint.

Thank you Nan for being such a great cross-pollinator between these two
groups!

Roice

On Thu, Nov 22, 2012 at 4:40 AM, Eduard Baumann <baumann@mcnet.ch> wrote:

> **
>
>
> Very interesting !
> Ed
>
>
> —– Original Message —–
> *From:* schuma <mananself@gmail.com>
> *To:* 4D_Cubing@yahoogroups.com
> *Sent:* Thursday, November 22, 2012 8:21 AM
> *Subject:* [MC4D] New Klein Quartic puzzle by Gelatinbrain
>
>
>
> Hey guys,
>
> Today Gelatinbrain added a new puzzle, called 9.1.1, in his package of
> puzzles. Mathematically it’s the "3C-corner-only" face-turning {7,3}
> F0.67:0:1 (KQ classic). Just ignore the centers and edges and you have it.
>
> But, his visualization is quite different. Rather than fitting seven
> equilateral triangles around a vertex in the hyperbolic space, he fits
> seven triangles in an Euclidean space in a folded fashion, pretty much like
> the infinite regular polyhedra. But in his visualization, the whole puzzle
> is finite. There’s no periodic repetition or so. Gelatinbrain said: "I
> mapped all vertices to equilateral triangles. So there are inevitably
> broken edges."
>
> The visualization is like this:
>
> http://twistypuzzles.com/forum/download/file.php?id=33767
>
> By dragging the puzzle to re-orient it, you can take some inside triangles
> out. This is not consider a twist, just a change of viewpoint. I played it
> for a while and I found piece-finding pretty hard. The difficulty is
> similar to that of infinite regular polyhedra.
>
> Discussion on twistypuzzles:
> http://twistypuzzles.com/forum/viewtopic.php?p=292407#p292407
> and subsequent posts.
>
> Download gelatinbrain:
> http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/install.htm
> I recommend the "install offline" option. Make sure the java runtime is
> available.
>
> Overall I think this is a great addition to the family of KQ.
>
> Nan
>
>
>