In a given set S of shapes, some shapes may be congruent to one or more others. The shape ( OE sceap Eng created thing) of an object located in some space refers to the part of space occupied by the object as determined In Geometry, two sets of points are called congruent if one can be transformed into the other by an Isometry, i A subset R of S is called a set of prototiles of S, if
- the shapes in R are mutually non-congruent
- R is complete in the sense that each shape A in S is congruent to one shape in this subset R. In Geometry, two sets of points are called congruent if one can be transformed into the other by an Isometry, i In Geometry, two sets of points are called congruent if one can be transformed into the other by an Isometry, i
The elements of R are then called the prototiles of S.
Of course any such subset R of S contains the same number of shapes. This number is called the number of prototiles of S.
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