# 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
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