# Tiling a Chamfered Rectangle with Three Pentaboloes

## Introduction

A *pentabolo* or *pentatan*
is a plane figure formed by joining five equal isosceles right triangles
at their legs or hypotenuses.
Here are the 30 pentaboloes:

A *chamfered rectangle* is a rectangular polyabolo
with its corner cells clipped diagonally.
To prevent cuts from meeting, I require the dimensions of the rectangle
to be 3 or greater.

Here are chamfered rectangles tiled with copies
of three different pentaboloes.
There are 4,060 sets of three pentaboloes, too many to show here.
Instead I show the minimal known tilings
that have at least 150 tiles.

See also

## 150 Tiles

## 154 Tiles

## 156 Tiles

## 172 Tiles

## 184 Tiles

## 204 Tiles

## 244 Tiles

## 254 Tiles

## 268 Tiles

Last revised 2024-04-13.

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Col. George Sicherman
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