Polyhedral compounds

Compound of four tetrahedra

In geometry, a compound of four tetrahedra can be constructed by four tetrahedra in a number of different symmetry positions. One compound can be constructed rotating a tetrahedron by 45 degree turns along an axis of the middle of an edge. It has dihedral symmetry, D4 It has the same vertex arrangement as the convex octagonal prism. (Wikipedia).

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How to construct a Tetrahedron

How the greeks constructed the first platonic solid: the regular tetrahedron. Source: Euclids Elements Book 13, Proposition 13. In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. Th

From playlist Platonic Solids

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From playlist Quadrilaterals on a Coordinate Plane

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From playlist 3D printing

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Silicate crystal structures

Silicate minerals are very common. There are many different structures that include silicate tetrahedra (SiO4)^(4-) building blocks. These blocks can be three dimensionall corner-shared as in quartz cristobalite, isolated as in forsterite, sharing one corner between two tetrahedra as in Ak

From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020

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From playlist Freshman Organic Chemistry with J. Michael McBride

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From playlist Geometry

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From playlist Introduction to Materials Science and Engineering Fall 2017

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From playlist CHEMISTRY 16 LIQUIDS AND SOLIDS

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From playlist 2019 Theory Winter School

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From playlist Other Geometric Sculpture

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From playlist CHEMISTRY 14 MOLECULAR STRUCTURE

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Quantum spin liquids in pyrochlore magnets: a functional renormalization group by Yasir Iqbal

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Related pages

Geometry | Octagonal prism | Vertex arrangement