31 March 2009
The Mastermorphix changes its overall shape when the parts get moved around. This pattern combines shape and color to depict a sawtooth-shaped band that wraps around three sides as shown above.
The bottom side is shown at right. It doesn't look as elaborate as the rest of the puzzle, but it's still rather attractive.
28 March 2009
09 August 2008
Dario suggested I try to depict the four monsters (aka: "ghosts") from Pac-Man on four sides of a V-CUBE 7, but this was as close as I could get. I tried lots of color combinations, but most of them were impossible to make out. With the color scheme shown above you can almost see Blinky (the red one) if you squint and use your imagination.
I couldn't draw Pinky because the V-CUBE doesn't have a pink side. So my pattern ended up with an un-named green monster on the fourth side.
05 July 2008
03 July 2008
Four colors per side on a 4x4!
This pattern surprised me. My 5x5 Quad Color Python demonstrated 4 is the maximum number of colors per side for a 'python' type pattern on a 5x5 cube due to combinitoric constraints imposed on the centers and middle-edge pieces. I later reproduced the pattern on a 4x4 by just eliminating the center string, yielding the 4x4 Tricolor Python pattern.
While exploring how the pattern might be extended onto a 6x6 cube I realized I had overlooked a better implementation of the pattern on the 4x4. Instead of eliminating the center stripe I moved it and replaced one of the edge stripes. The picture at right compares the 4x4 and 5x5 versions of the improved 'python' pattern, showing that the sides of each cube have the same four colors although they appear in a different order.
30 June 2008
This is a straightforward expansion on the common Cube-in-Cube pattern. I tried to arrange the colors carefully so the same colors wouldn't touch each other at the edges, since this tended to make the pattern look like a broken spiral. Every side has all six colors.