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Back around 2010, I wrote an IDA optimal cube solver. Both Rokicki and Kociemba had published optimal solver code on the web at that time and my effort was in the same ballpark. A bit slower but not that much. My solver is unusual in that it does not use solving the cosets of the <U, D, R2...

What is the usual way colors are applied to the 3x3 cube. Usually one has Yellow opposite White, Blue opposite Green and Red opposite Orange. In the Wiki database here this is done one way, but on W. Randelshofer's pretty pattern site the colors are applied in the mirror image of what is used...

I have uploaded the source of a little cube utility program Cube3x3x3 to GitHub. The program has no particular use for speed solvers. It features a optimal solver in the q-turn metric and routines for converting cube positions into facelet permutations for use with GAP. I offer the package...

There are 4! * 4! / 2 = 288 PLL permutations which you speed-solvers reduce down to 22 equivalence classes ( 21 + the trivial class containing the identity cube). I wanted to see if I could duplicate this degree of reduction. I generated the 288 PLL permutations by closing the group formed...

In a reply to a previous thread I used GAP to compute the size of the group produced by closure of the 12 E-PERMs. I thought I would post how I represent cube states as facelet permutations in GAP so others might make use of this valuable tool. I represent a cube state as a permutation of the...

I am working on an optimal solver which can do partial solves--solves where some cubies are solved just for orientation, just for position or with no restrictions at all. Using this I have optimally solved the 57 non-trivial OLL cases. The orientations of the flip/twist patterns are determined...

A couple of months ago I was forced to remove my 3x3 cube simulation, The Cube, from the Apple App Store by Rubik Brands who complained that the app violated their Trademark. Rubik Brands trademark was overturned in the EU. Rubik Brands asserts a 3D trademark on the arrangement of 27 cubes in...

I have written a computer simulation of the octahedral twisty puzzle. It is available as freeware on the Apple App Store: Mad Octahedron

I've been playing around with my cube simulator and wrote a new routine for generating a random cube by placing the cubies one by one into the cube at random positions and orientations (as constrained by parity). To test the routine I used it to generate a million configurations and counted...