Tiling Triangular Prism Polycubes with a Tetracube

Introduction

A tetracube is a solid made of 4 equal cubes joined face to face.

A triangular polyomino is a polyomino in the form of a triangle with one zigzag edge. A triangular prism polycube is a polycube prism whose base is a triangular polyomino.

Here I show the smallest known triangular prism polycubes that can be tiled with copies of of a tetracube.

If you find a smaller solution, or solve an unsolved case, please write.

See also Tiling Pyramid Prism Polycubes with a Tetracube, Tiling Diamond Prism Polycubes with a Tetracube, and Tiling Triangular Prism Polycubes with Two Pentacubes.

Solutions

Impossible

Last revised 2024-02-14.

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Col. George Sicherman [ HOME | MAIL ]