Binary space fillers

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     If two different polyhedra combine together to fill space they are called binary

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space fillers.   Examples include the tetrahedron/octahedron pair, the tetrahedron/

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truncated tetrahedron pair, and the octahedron/cuboctahedron pair.

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spacetetocta155x125res100transgif256.gif (10204 bytes)

spacetettrunctet164x125res100transgif256.gif (10383 bytes)

spaceoctacubocta127x125res100transgif256.gif (9085 bytes)

Fig. 25 - Tetrahedra/

Fig. 26 - Tetrahedra/

Fig. 27 - Octahedra/

octahedra space filling

truncated tetrahedra

cuboctahedra

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space filling

space filling

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Combination ratio: 2/1

1/1

1/1

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page 19 of lesson

page 21 of lesson

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