# TruncatedPolyhedron

TruncatedPolyhedron[poly]

gives the truncated polyhedron of poly by truncating all vertices.

TruncatedPolyhedron[poly,l]

truncates the polyhedron poly by a length ratio l at its vertices.

# Details and Options • TruncatedPolyhedron is also known as ambo polyhedron, rectified polyhedron or vertextruncated polyhedron.
• TruncatedPolyhedron generates a polyhedron from poly by cutting vertices by a length ratio l and creating a new face in place of each vertex.
• • TruncatedPolyhedron takes the same options as Polyhedron.
• ## List of all options •  VertexColors Automatic vertex colors to be interpolated VertexNormals Automatic effective vertex normals for shading VertexTextureCoordinates None coordinates for textures

# Examples

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## Basic Examples(2)

Truncated polyhedron of a dodecahedron:

Find the truncated polyhedron of the Space Shuttle:

Visualization:

## Scope(4)

TruncatedPolyhedron works on polyhedra:

TruncatedPolyhedron of Platonic solids includes Tetrahedron:

Cube:

Support polyhedron meshes:

Truncate the polyhedron by different length ratios:

## Applications(9)

### Basic Applications(3)

Gallery of Platonic solids and their truncated polyhedra:

Gallery of Archimedean solids and their truncated polyhedra:

Truncated compounds of Platonic solids:

Archimedean solids:

### Polyhedron Operations(6)

Use TruncatedPolyhedron to compute the polyhedron operations, such as ambo operation:

Needle operation:

Join operation:

Bevel operation:

Expand operation:

Ortho operation:

## Properties & Relations(2)

The truncated simple polyhedron is simple:

The truncated convex polyhedron is convex:

## Possible Issues(2)

TruncatedPolyhedron only supports simple polyhedra:

TruncatedPolyhedron can return degenerate polyhedra:

## Neat Examples(1)

Truncate a tetrahedron: