Tiling Diamond Prism Polycubes with a Tetracube

Introduction

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

A diamond polyomino is a polyomino in the form of an oblique square with four zigzag edges. A diamond prism polycube is a polycube prism whose base is a diamond polyomino.

Here I show the smallest known diamond 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 Triangular Prism Polycubes with a Tetracube, Tiling Pyramid Prism Polycubes with a Tetracube, and Tiling Diamond Prism Polycubes with Two Pentacubes.

Solutions

Impossible

Last revised 2024-02-14.

Back to Polycube Tiling < Polyform Tiling < Polyform Curiosities
Col. George Sicherman [ HOME | MAIL ]