I have also noticed that the discussion on the "shallow-cut dodecahedron"
a.k.a. Hungarian "super nova" has come and gone a couple times. What I'm
talking about is a puzzle that looks like a Platonic dodecahedron (12
pentagonal faces) cut like
+''':'''''':'''+ +'''':'''':''''+ : : : : : : : : .:...:........:...:. .' .' : `. : : : : :'''':'''''''':'''': : : : : : : : : .' .' `. `. .' .' `. `. :. : : .: or :`. : : .': : `: :' : : `: :' : + .'`. .'`. + + .''. .'`. + `.: `. .' :.' `. : `. .' : .' `. `. .' .' `. `. .' .' `. `..' .' `. :: .' `. .'`. .' `. .' `. .' `: :' `. .' `..' `..'
and manipulated by turning a face 72 degrees around its axis of 5-fold
rotational symmetry (an operation that moves 5 edge pieces and 5 corner
I'd like to cast the parts for one of these as well. It seems that the only
difficult part would be the 12-pointed "spindle" that holds all the center
pieces. It has to be strong, rigid and perfectly aligned. The easiest thing
would be to screw bolts into a 12-sided die (of the D&D variety) but I think
the alignment would be too poor.
On Mon, 24 Jul 1995, Nichael Cramer wrote: > >Does anyone know how I could get more of those little 25-cm 3x3x3 cubes that > > 25-Cm!?! Damn son, you must have a helluva lot of keys! ;-)
Oh, yes of course I meant to say 25 mm, not 25 cm. <-:
Of course, a 25-cm cube would be fun to have, too. I imagine it would be
about a 25x25x25, which would have about 7.3 * 10^2328 combinations (even
without considering face centers). God's Number would be well over 1000, and
even "Pons Asinorum" would be a major effort at 150 QTW. Since it's an
odd-order cube, it could be built by the simplistic "sextapole magnet"
method (each cubie has a north pole on its inward-pointing faces and a south
pole on its outward-pointing faces, except for the cubiess on the three
central planes which could be hollow steel) [-8
I'd like to get a bunch of small cubes so I can keep a bunch of cubes
in different configurations.
Probably a dumb idea, but if they're going to stay fixed, couldn't you just
paint some up?
Sort of a minimalist approach... but I have a notebook for recording
patterns. Most of what I want to do involves having a bunch of cubes in the
same pattern, then performing different transformations on each one and
comparing the results.
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