Imaginary Cube Puzzle 3H=6T :

Hexagonal bipyramid imaginary cube (H) and Triangular prismoid imaginary cube (T) are attractive polyhedra.
By solving the 3H=6T puzzle, I am sure that you will be touched by their mathematical beauty.

Available from Kyoto University Museum Shop,
with a Japanese/English booklet which explains this puzzle and its mathematics.
Contact the shop (Email address: musep.info(at)gmail.com) for more information.

References:


Hexagonal bipyramid imaginary cube (H in short).


Triangular prismoid imaginary cube (T).

H and T are imaginary cubes.
They fit into boxes.


The objective of this puzzle is to put 3 H and 6 T into a double-sized box.
Note that it is easy to put eight of them, but there are nine pieces.

One can put so that no gap is left between pieces.
Such a solution is unique modulo rotation of the box.
It has three-hold symmetry.

It is based on 3-dimensional tiling by H and T.