Large diamond cuboctahedron
The large rhombic cuboctahedron (also called truncated cuboctahedron ) is a polyhedron ( polyhedron ) that is one of the Archimedean solids . It is made up of 12 squares , 8 hexagons and 6 octagons . A square, a hexagon and an octagon each form a corner of the room.
The body that is dual to the truncated cuboctahedron is the hexakisoctahedron .
Formulas
Sizes of a truncated cuboctahedron with edge length a | |
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volume | |
Surface area | |
Umkugelradius | |
Edge ball radius | |
Diagonal angle ( octagon - hexagon ) ≈ 125 ° 15 ′ 52 ″ |
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Diagonal angle (octagon - square ) = 135 ° |
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Diagonal angle (hexagon square) ≈ 144 ° 44 ′ 8 ″ |
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Corners solid angle = 1.25 π |
Web links
Commons : Truncated Cuboctahedron - collection of images, videos and audio files
Wiktionary: truncated cuboctahedron - explanations of meanings, word origins, synonyms, translations
- Eric W. Weisstein : Large rhombic cuboctahedron . In: MathWorld (English).