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

Tridecalis
Above:View 1
Click a thumbnail to see its larger version and description.
A doctrinaire puzzle with two axes with 3-fold rotation and decagonal pieces.

Tridecalis was designed as a very strange deeper-than-origin non-jumbling puzzle with only two axes of rotation, each capable of 120 degree rotations. It is sort of a higher order version of the Trientalis, please refer to the separate entry. Tridecalis uses decagons at the center of each face rather than heptagons, hence the name. Tridecalis has every single piece type present on the Trientalis, plus one extra piece type: the small triangles surrounding every decagon. Instead of using the prism shape that the Trientalis has, the designer cut down the solid so that the overall size of the puzzle can be reduced, and it ended up resembling more of a sphere than a prism. The sticker scheme emulates the sticker scheme of the Trientalis, hence the use of 5 colours.

Tridecalis has 94 external pieces (including the stationary core piece), which is really large for a puzzle with only 2 axes.
Also because of the high piece count, the turning quality has taken a toll. The very small triangles tend to catch if you are not careful and can even dislodge from their positions, but at least they do not pop. However, when they don't catch, the turning of the puzzle is actually fine.

The puzzle has 13281541677381985255945421658069598139964894090362880000000000000 = 1.33*10^64 permutations if all pieces are considered distinguishable. Due to the limited number of moves it has a huge number of restrictions:
-The decagons allow only even permutations.
-The small triangles are split into 2 sets of 19 pieces which allow only even permutations.
-The kites are split into 2 sets of 13 pieces which allow only even permutations.
-The large triangle are split into 2 sets of 7 pieces which allow only even permutations.
-The edges can't be flipped and allow only even permutations.
-The equilateral triangles are split into 2 sets of 2 pieces which allow only even permutations (meaning: 3 per set). The permutation of one set also determines the sum of the orientations of the other set.
-The decagons and equilateral triangles are further restricted by a factor of 3.
Stickered as shown here the puzzle has 287348241689353566479634437743902720000000 = 287*10^39 permutations.

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