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.
Back to Polyabolo/Polytan and Polyfett Tiling
<
Polyform Tiling
<
Polyform Curiosities
Col. George Sicherman
[ HOME
| MAIL
]