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Bilinski dodecahedron information



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In geometry, the Bilinski dodecahedron is a convex polyhedron with twelve congruent golden rhombus faces. It has the same topology but a different geometry than the face-transitive rhombic dodecahedron. It is a parallelohedron.

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Bilinski dodecahedron

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In geometry, the Bilinski dodecahedron is a convex polyhedron with twelve congruent golden rhombus faces. It has the same topology but a different geometry...

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Rhombic dodecahedron

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bottom. In 1960 Stanko Bilinski discovered a second rhombic dodecahedron with 12 congruent rhombus faces, the Bilinski dodecahedron. It has the same topology...

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Dodecahedron

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dodecahedron has several stellations, the first of which is also a parallelohedral spacefiller. Another important rhombic dodecahedron, the Bilinski dodecahedron...

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Golden ratio

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of the rhombic triacontahedron, the two golden rhombohedra, the Bilinski dodecahedron, and the rhombic hexecontahedron. Logarithmic spirals are self-similar...

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Golden rhombus

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They include the two golden rhombohedra (with six faces each), the Bilinski dodecahedron (with 12 faces), the rhombic icosahedron (with 20 faces), the rhombic...

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Stanko Bilinski

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he discovered a rhombic dodecahedron of the second kind, the Bilinski dodecahedron. Like the standard rhombic dodecahedron, this convex polyhedron has...

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Miquel configuration

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Rhombic dodecahedral graph, the skeleton of both Rhombic dodecahedron and Bilinski dodecahedron. The configuration is related to Miquel's theorem. Grünbaum...

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Square root of 3

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This projection of the Bilinski dodecahedron is a rhombus with diagonal ratio √3....

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Zonohedron

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the icosidodecahedron. Others with congruent rhombic faces: Bilinski's rhombic dodecahedron. Rhombic icosahedron Rhombohedron There are infinitely many...

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List of incomplete proofs

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congruent rhombic faces, but missed a case. Stanko Bilinski in 1960 rediscovered the Bilinski dodecahedron (forgotten after its previous 1752 publication)...

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Rhombic icosahedron

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forming a pentagonal antiprism. In the same way, one can obtain a Bilinski dodecahedron from a 4-cube, and a rhombic triacontahedron from a 6-cube. The...

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Parallelogon

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ISBN 3-540-23158-7. ISSN 1439-7382. Grünbaum, Branko (2010-12-01). "The Bilinski Dodecahedron and Assorted Parallelohedra, Zonohedra, Monohedra, Isozonohedra...

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Rhombic hexecontahedron

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http://www.georgehart.com/virtual-polyhedra/zonohedra-info.html The Bilinski dodecahedron, and assorted parallelohedra, zonohedra, monohedra, isozonohedra...

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List of Croatian inventions and discoveries

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fingerprint bureau. Feebly compact space Sibe Mardesic Bilinski dodecahedron Stanko Bilinski Mannitol Hexene Julije Domac Chemical graph theory Milan...

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1960 in science

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proves the existence of Sierpinski numbers. Stanko Bilinski rediscovers the Bilinski dodecahedron. In the classification of finite simple groups, Michio...

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Adventures Among the Toroids

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convex polyhedra formed from the golden rhombus, including the Bilinski dodecahedron, rhombic icosahedron, and rhombic triacontahedron. The second edition...

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