Rectification (InstanceTopic, 3)
From Hi.gher. Space
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| - | '''Rectification''' is to [[truncate]] the [[vertices]] of a [[polytope]] such that the cutting [[hyperplane]] lies on the midpoints of the [[edge]]s meeting at the vertex. | + | '''Rectification''', also known as '''mesotruncation''', is to [[truncate]] the [[vertices]] of a [[polytope]] such that the cutting [[hyperplane]] lies on the midpoints of the [[edge]]s meeting at the vertex. It is the middle element of the sequence of truncations in each dimension: in odd dimensions, only the middle mirror is active, and in even dimensions, only the two middle mirrors are active. |
[[Category:Geometric operations]] | [[Category:Geometric operations]] | ||
Revision as of 23:23, 4 December 2010
Rectification, also known as mesotruncation, is to truncate the vertices of a polytope such that the cutting hyperplane lies on the midpoints of the edges meeting at the vertex. It is the middle element of the sequence of truncations in each dimension: in odd dimensions, only the middle mirror is active, and in even dimensions, only the two middle mirrors are active.
