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  2. Cubane - Wikipedia

    en.wikipedia.org/wiki/Cubane

    Cubane is a synthetic hydrocarbon compound with the formula C 8 H 8. It consists of eight carbon atoms arranged at the corners of a cube, with one hydrogen atom attached to each carbon atom. A solid crystalline substance, cubane is one of the Platonic hydrocarbons and a member of the prismanes.

  3. Platonic hydrocarbon - Wikipedia

    en.wikipedia.org/wiki/Platonic_hydrocarbon

    A comparison between the five platonic solids and the corresponding three platonic hydrocarbons. In organic chemistry, a Platonic hydrocarbon is a hydrocarbon whose structure matches one of the five Platonic solids, with carbon atoms replacing its vertices, carbon–carbon bonds replacing its edges, and hydrogen atoms as needed. [1] [page needed]

  4. Platonic solid - Wikipedia

    en.wikipedia.org/wiki/Platonic_solid

    The Platonic solids have been known since antiquity. It has been suggested that certain carved stone balls created by the late Neolithic people of Scotland represent these shapes; however, these balls have rounded knobs rather than being polyhedral, the numbers of knobs frequently differed from the numbers of vertices of the Platonic solids, there is no ball whose knobs match the 20 vertices ...

  5. Regular polyhedron - Wikipedia

    en.wikipedia.org/wiki/Regular_polyhedron

    There are 5 finite convex regular polyhedra (the Platonic solids), and four regular star polyhedra (the Kepler–Poinsot polyhedra), making nine regular polyhedra in all. In addition, there are five regular compounds of the regular polyhedra.

  6. Dodecahedrane - Wikipedia

    en.wikipedia.org/wiki/Dodecahedrane

    Dodecahedrane is a chemical compound, a hydrocarbon with formula C 20 H 20, whose carbon atoms are arranged as the vertices (corners) of a regular dodecahedron. Each carbon is bound to three neighbouring carbon atoms and to a hydrogen atom. This compound is one of the three possible Platonic hydrocarbons, the other two being cubane and ...

  7. 4-polytope - Wikipedia

    en.wikipedia.org/wiki/4-polytope

    The convex regular 4-polytopes are the four-dimensional analogues of the Platonic solids. The most familiar 4-polytope is the tesseract or hypercube, the 4D analogue of the cube. The convex regular 4-polytopes can be ordered by size as a measure of 4-dimensional content (hypervolume) for the same radius.

  8. Compound of dodecahedron and icosahedron - Wikipedia

    en.wikipedia.org/wiki/Compound_of_dodecahedron...

    It can be seen as the compound of an icosahedron and dodecahedron. It is one of four compounds constructed from a Platonic solid or Kepler-Poinsot solid , and its dual . It has icosahedral symmetry ( I h ) and the same vertex arrangement as a rhombic triacontahedron .

  9. Octahedron - Wikipedia

    en.wikipedia.org/wiki/Octahedron

    One special case is the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Regular octahedra occur in nature as crystal structures. Many types of irregular octahedra also exist, including both convex and non-convex shapes.