What does pyritohedron mean?

Definitions for pyritohedron
pyri·to·he·dron

This dictionary definitions page includes all the possible meanings, example usage and translations of the word pyritohedron.


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Wiktionary

  1. pyritohedronnoun

    an irregular dodecahedron, consisting of identical but irregular pentagons

  2. pyritohedronnoun

    the shape of a crystal of pyrite

Wikipedia

  1. pyritohedron

    In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") or duodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. There are also three regular star dodecahedra, which are constructed as stellations of the convex form. All of these have icosahedral symmetry, order 120. Some dodecahedra have the same combinatorial structure as the regular dodecahedron (in terms of the graph formed by its vertices and edges), but their pentagonal faces are not regular: The pyritohedron, a common crystal form in pyrite, has pyritohedral symmetry, while the tetartoid has tetrahedral symmetry. The rhombic dodecahedron can be seen as a limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic dodecahedron variations, along with the rhombic dodecahedra, are space-filling. There are numerous other dodecahedra. While the regular dodecahedron shares many features with other Platonic solids, one unique property of it is that one can start at a corner of the surface and draw an infinite number of straight lines across the figure that return to the original point without crossing over any other corner.

Webster Dictionary

  1. Pyritohedronnoun

    the pentagonal dodecahedron, a common form of pyrite

  2. Etymology: [Pyrite + Gr. base.]

Wikidata

  1. Pyritohedron

    In geometry, a pyritohedron is a dodecahedron with pyritohedral symmetry. Like the regular dodecahedron, it has twelve identical pentagonal faces, with three meeting in each of the 20 vertices. However, the pentagons are not necessarily regular, so the structure normally has no fivefold symmetry axes. Its 30 edges are divided into two sets - containing 24 and 6 edges of the same length. Although regular dodecahedra do not exist in crystals, the distorted, pyritohedron form occurs in the crystal pyrite, and it may be an inspiration for the discovery of the regular Platonic solid form.

Chambers 20th Century Dictionary

  1. Pyritohedron

    pī-rī-tō-hē′dron, n. a pentagonal dodecahedron.—adj. Pyritohē′dral. [Gr. pyritēs, pyrites, hedra, a seat.]

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Numerology

  1. Chaldean Numerology

    The numerical value of pyritohedron in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of pyritohedron in Pythagorean Numerology is: 5

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"pyritohedron." Definitions.net. STANDS4 LLC, 2024. Web. 29 Mar. 2024. <https://www.definitions.net/definition/pyritohedron>.

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