# Vertex figure (InstanceTopic, 3)

### From Higher Dimensions Database

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.