UPDATE_ this shape contains an error -_

Tim Hutton - 2015-11-29 23:29:08+0000 - Updated: 2015-12-01 21:50:20+0000

UPDATE: this shape contains an error - see comments below, and a later post where I corrected it.

A realization of the Klein Quartic, made from 24 heptagons. The heptagons come in two different shapes: the 12 on the outside are different to the 12 on the inside.

Working on this because I'm trying to visualize how this corresponds to the {7,3} tiling of the hyperbolic plane.

Source code and mesh files here: https://github.com/timhutton/klein-quartic

The Klein Quartic, shown here as made from 24 heptagons. http://www.math.ucr.edu/home/baez/klein.html

Shared with: Public, Saul Schleimer, Henry Segerman

+1'd by: Gerard Westendorp, Torolf Sauermann, John Baez, Scott Vorthmann, Roice Nelson, Vlad Shcherbina, Henry Segerman

Reshared by: William Rutiser

Henry Segerman - 2015-11-30 00:20:41+0000 - Updated: 2015-11-30 00:21:07+0000

Not sure you have enough twist on the "edges" of the tetrahedron? I've got this wrong before!

Tim Hutton - 2015-11-30 00:27:07+0000

+Henry Segerman Thanks for mentioning this, I'll check!

Tim Hutton - 2015-11-30 00:58:39+0000 - Updated: 2015-11-30 00:59:51+0000

+Henry Segerman I tried the 'devil's driving directions' from John Baez's page on my mesh and it didn't get me back to the starting edge in 8 moves, so I suspect I've made a mistake somewhere.
http://www.math.ucr.edu/home/baez/klein.html

Henry Segerman - 2015-11-30 02:14:21+0000 - Updated: 2015-11-30 02:38:10+0000

Here's my version with +Saul Schleimer: http://www.3dprintmath.com/figures/6-13
Hmm, if that link isn't working, see https://skfb.ly/EQZV

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