# 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
]