Brick symmetry (InstanceAttribute, 4)

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A '''brick''' is a [[shape]] with ''brick symmetry''. A shape has brick symmetry [[wikipedia:If and only if|iff]] the fact that it contains a point (x, y, z, ...) implies that it contains all the points (±x, ±y, ±z, ...).
A '''brick''' is a [[shape]] with ''brick symmetry''. A shape has brick symmetry [[wikipedia:If and only if|iff]] the fact that it contains a point (x, y, z, ...) implies that it contains all the points (±x, ±y, ±z, ...).
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The set of bricks is equivalent to the set of shapes that can be used as [[powertope]] exponents.

Revision as of 19:24, 24 August 2012


A brick is a shape with brick symmetry. A shape has brick symmetry iff the fact that it contains a point (x, y, z, ...) implies that it contains all the points (±x, ±y, ±z, ...).

The set of bricks is equivalent to the set of shapes that can be used as powertope exponents.