Heptomino

A heptomino (or 7-omino) is a polyomino of order 7, that is, a polygon in the plane made of 7 equal-sized squares connected edge-to-edge. The name of this type of figure is formed with the prefix hept(a)-. When rotations and reflections are not considered to be distinct shapes, there are 108 different free heptominoes. When reflections are considered distinct, there are 196 one-sided heptominoes. When rotations are also considered distinct, there are 760 fixed heptominoes.

Symmetry

The figure shows all possible free heptominoes, coloured according to their symmetry groups:

84 heptominoes (coloured grey) have no symmetry. Their symmetry group consists only of the identity mapping.

9 heptominoes (coloured red) have an axis of reflection symmetry aligned with the gridlines. Their symmetry group has two elements, the identity and the reflection in a line parallel to the sides of the squares.

7 heptominoes (coloured green) have an axis of reflection symmetry at 45° to the gridlines. Their symmetry group has two elements, the identity and a diagonal reflection.

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Heptomino

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Heptomino

Symmetry

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