Above:View 1
Click a thumbnail to see its larger version and description.
A truncated tetragonal trapezohedron with two axes of rotation in an irregular angle. All turns are possible all the time.
This puzzle was inspired by a posting of Bram Cohen from December 2017.
He demonstrated a spherical representation of a 2-axes puzzle where one axis has 3 possible positions and the other one has 4. Thanks to Evgeny Grigoriev who wrote a script for the pCubes simulator, it was possible to draw a polyhedron based on the proposed sphere.
The puzzle is equivalent to the Brammed Block and TriQuad but lacks one piece type with 5 samples. These small triangular corners (5 pieces) are present but hidden inside hence not visible in this polyhedral form. The name of the puzzle was derived from words "Biaxe" and "Hybrid", numbers meaning the type of the axes. The shape of Bygride-3-4 is a truncated tetragonal trapezohedron, which is the dual of a square antiprism.
Image 2 shows the axis which can be turned by 120�.
Image 3 shows the axis which can be turned by 90�.
Weight: 20 grams
The puzzle has 271159356948480000 = 271*10^15 permutations if all pieces are considered distinguishable. Due to the limited number of moves it has a huge number of restrictions:
-The edges can't be flipped.
-The permutation of the triangles is always even.
-The orientation of the square tip and the permutation of the trapeziums have the same parity.
-The orientation of the square tip and the permutation of the edges have the same parity.
Stickered as shown here the puzzle has 4236864952320000 = 4.33 *10^15 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.
Bygride-3-4
