Vertex figure (InstanceTopic, 3)
From Hi.gher. Space
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| - | The '''vertex figure''' of an ''n''-dimensional shape is the ''n''-1-dimensional shape which is projected by the original shape when it is [[projected]] with the [[vertex normal]] and [[camera normal]] being equal. The vertex figure of a shape is only defined for [[ | + | The '''vertex figure''' of an ''n''-dimensional shape is the ''n''-1-dimensional shape which is projected by the original shape when it is [[projected]] with the [[vertex normal]] and [[camera normal]] being equal. The vertex figure of a shape is only defined for [[uniform shape]]s, but vertex figures can be defined for specified vertices of any shape. Alternatively, the vertex figure for every vertex in a shape can be found and collected in a set to be associated with the original shape. |
[[Category:Geometric properties]] | [[Category:Geometric properties]] | ||
Revision as of 18:40, 21 November 2009
The vertex figure of an n-dimensional shape is the n-1-dimensional shape which is projected by the original shape when it is projected with the vertex normal and camera normal being equal. The vertex figure of a shape is only defined for uniform shapes, but vertex figures can be defined for specified vertices of any shape. Alternatively, the vertex figure for every vertex in a shape can be found and collected in a set to be associated with the original shape.
