Didrafter Compatibility

Introduction

A didrafter is made by joining two 30°-60°-90° triangles along equal edges, where the halves of a triangle's hypotenuse may be used separately. A didrafter is proper if it can be placed on a polyiamond grid so all its edges lie on the edges and medians of the grid cells. Otherwise it is improper or extended.

Two or more polyforms are said to be compatible if there exists a figure that can be tiled with any of them. Here I present some compatibility figures for didrafters.

The didrafters

These are the proper didrafters:

These are the improper didrafters:

Compatibility figures

These figures are minimal. They are not necessarily uniquely minimal.

Last revised 2013-04-12.


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George Sicherman [ HOME | MAIL ]