Blithe 12

The purpose of the game, as with the Lucky 7 and Happy 8 puzzles, is to return the counters into their Home position, position they were in before reshuffling. The puzzle consists of 12 counters placed on three intersecting circles. There are six points of interaction: counters 1 and 4 control the left circle, counters 3 and 7 control the right circle, counters 11 and 12 control the bottom one. Clicking on the two counters controlling a circle, rotate the counters on that circle in opposite directions. Experiment with this before trying to solve a puzzle.

There are actually 5 puzzles in one. You can select from the following:

  • 2 color puzzle
  • 4 color puzzle, middle counters are the same
  • 4 color puzzle, border counters are the same
  • 6 color puzzle
  • 12 number puzzle

For the last one, if the "Cycles" box is checked, a permutation of counters needed to solve the puzzle is displayed. The permutation is presented as a product of cycles.

In the case of 6 colors, each circle has been assigned a pure color (counters 1,4 for the first circle; 3,7 for second, and 11,12 for the third.) At the intersections colors have been selected in such a way as to have at the intersections colors that appear to be mixtures of the colors of the corresponding circles.

Based on the theory of Permutations I can prove the following


The Blithe12 puzzle is solvable for any starting configuration.

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at, download and install Java VM and enjoy the applet.

What if applet does not run?

|Contact| |Front page| |Contents| |Store| |Games| |Eye opener|

Copyright © 1996-2017 Alexander Bogomolny


Search by google: