Filling a Sierpinski Tetrahedron with Octahedra

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perforate tetrahedron
0.6
octahedron size
1.995
stage 2
stage 4
The voids in a Sierpinski tetrahedron are filled with octahedra. As the number of stages increases, the total volume of the tetrahedra converges to zero.

External Links

Filling a Tetrahedron with Infinitely Many Octahedra
Fractal Tetrahedron
Tetrix (Wolfram MathWorld)

Permanent Citation

Sándor Kabai
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​"Filling a Sierpinski Tetrahedron with Octahedra" from the Wolfram Demonstrations Project http://demonstrations.wolfram.com/FillingASierpinskiTetrahedronWithOctahedra/​
​Published: November 14, 2019
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