Brick symmetry (InstanceAttribute, 4)
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'''Brick symmetry''' is a family of ''n''-dimensional [[symmetry group]]s of order 2<sup>''n''</sup>, where the existence of any point (''x'', ''y'', ''z'', ...) in the figure implies the existence of all the points (±''x'', ±''y'', ±''z'', ...). If a figure has brick symmetry, it is said to be a ''brick''. The importance of bricks and brick symmetry stems from the requirement that [[powertope]] exponents must be bricks. | '''Brick symmetry''' is a family of ''n''-dimensional [[symmetry group]]s of order 2<sup>''n''</sup>, where the existence of any point (''x'', ''y'', ''z'', ...) in the figure implies the existence of all the points (±''x'', ±''y'', ±''z'', ...). If a figure has brick symmetry, it is said to be a ''brick''. The importance of bricks and brick symmetry stems from the requirement that [[powertope]] exponents must be bricks. | ||
Revision as of 21:10, 3 March 2014
Brick symmetry is a family of n-dimensional symmetry groups of order 2n, where the existence of any point (x, y, z, ...) in the figure implies the existence of all the points (±x, ±y, ±z, ...). If a figure has brick symmetry, it is said to be a brick. The importance of bricks and brick symmetry stems from the requirement that powertope exponents must be bricks.
