Polyhedron Constructions

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Polyhedron Constructions	6 images
tree :: Geometry > Polyhedron Constructions

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Some polyhedra can be nicely approximated by a construction using another polyhedron.

The constructions below using cubes were developed by Hauy as part of his investigations in crystallography.

As well as images there are also animations showing how the approximation improves as the polyhedra are built with more pieces.

The Python code for these models is in poly_constr.zip. The only argument the programs take is the stage of construction e.g. c2o.py 4 will give stage four of building an octahedron from cubes. The output is in OFF format and can be processed using the Antiprism programs.

Image List

Tetrahedron from Cubes

Med Lrg

Description :

Tetrahedron from cubes.

view animation (440k)

Click on one of the size names above to enlarge this image

Octahedron from Cubes

Med Lrg

Description :

Octahedron from cubes.

view animation (250k)

Rhombic Dodecahedron from Cubes

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Description :

Rhombic dodecahedron from cubes. It can be seen as pyramids raised on the six sides of a central cube.

view animation (260k)

Stella Octangula from Cubes

Med Lrg

Description :

Stella octangula from cubes.

view animation (540k)

Cube from Tetrahedra

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Description :

Cube from tetrahedra. This is a fractal construction. The midpoints of each edge of a tetrahedon become the triangular bases for the tetrahedra of the next stage.

view animation (200k)

Cube from Octahedra

Med Lrg

Description :

Cube from octahedra. This is a fractal construction the same as the cube from tetrahedra, but with the tetrahedra truncated to give octahedra.

view animation (210k)

Contact: adrian@antiprism.com - Generated on Sat 23 Oct 2010 12:33:01 PM CEST