# Koch-Subdivided Polyhedra

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This Demonstration shows a "graftal" technique to subdivide the triangular faces of a polyhedron.

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Contributed by: Stewart Dickson after work by Robert Dickau (September 2012)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Each successive stage is created by dividing each triangle into four smaller triangles, raising the midpoint of the middle triangle, and then closing the surface by building a tetrahedron-shaped shell on the middle triangle. The first iteration on the tetrahedron is Kepler's stella octangula, which is the compound of the tetrahedron and its dual.

Based on the Demonstration Triangular Koch Fractal Surface by Robert Dickau.

## Permanent Citation

"Koch-Subdivided Polyhedra"

http://demonstrations.wolfram.com/KochSubdividedPolyhedra/

Wolfram Demonstrations Project

Published: September 21 2012