# Tiling a Chamfered Rectangle with Two 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 I show the minimal known chamfered rectangle
that can be tiled by a pair of pentaboloes, using at least one copy
of each.

See also

## 4 Tiles

## 10 Tiles

## 12 Tiles

## 16 Tiles

## 20 Tiles

## 28 Tiles

## 30 Tiles

## 44 Tiles

## 46 Tiles

## 52 Tiles

## 60 Tiles

## 72 Tiles

## 76 Tiles

## 96 Tiles

## 98 Tiles

## 108 Tiles

## 140 Tiles

## 228 Tiles

Last revised 2024-04-10.

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Col. George Sicherman
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