Truncation (Geometry)

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Bol Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex. A truncated n-sided polygon will have 2n sides (edges). A regular polygon uniformly truncated will become another regular polygon: t{n} is {2n}. Star polygons can also be truncated. A truncated pentagram {5/2} will look like a pentagon, but is actually a double-covered (degenerate) decagon with two sets of overlapping vertices and edges.

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex. A truncated n-sided polygon will have 2n sides (edges). A regular polygon uniformly truncated will become another regular polygon: t{n} is {2n}. Star polygons can also be truncated. A truncated pentagram {5/2} will look like a pentagon, but is actually a double-covered (degenerate) decagon with two sets of overlapping vertices and edges.


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