Online since 2002. The most comprehensive site for all around twisty puzzles.

Traheptrix
Above:Solved
Click a thumbnail to see its larger version and description.
A doctrinaire puzzle with two axes with 3-fold rotation and heptagonal pieces.

This puzzles was inspired by the Trapentrix invented by Timur Evbatyrov.
Like its predecessor Traheptrix is a doctrinaire and deeper-than-origin cut twisty puzzle. No fudging is needed to achieve this.
There are only two axes with 120�-turns.
The resulting shape has ten sides:
Two heptagons, two trapezoids, six kites.

The puzzle has 1824355984029559011724492800000 = 1.82*10^30 permutations if all pieces are considered distinguishable and their orientations visible.
Compared with the number available if the puzzle can be disassembled and reassembled there are three restrictions:
-The edges allow only even permutations.
-The edges can't be oriented.
-The kites are split into two sets.
-The first three kites of each set determine the permutation of the other six, except for a remaining permutation of order=3.
-The triangles are split into two sets.
-The triangles allow only even permutations for each of the two sets.
-The heptagons allow only even permutations.
-The first three heptagons determine the orientation of the fourth.
-The tips, edges, kites and heptagons must be of the same order mod 3.
Stickered as shown here the puzzle has 9500068070689996800000 = 9.5 *10^21 permutations.

Edge length: 41 mm
Weight: 128 grams

Links

Contributors

No one has contributed to this page yet!

Collections

This puzzle can be found in collections of these members:


Found a mistake or something missing? Edit it yourself or contact the moderator.
join »login » Community