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  2. Isohedral figure - Wikipedia

    en.wikipedia.org/wiki/Isohedral_figure

    Similarly, a k-isohedral tiling has k separate symmetry orbits (it may contain m different face shapes, for m = k, or only for some m < k). [ 6 ] ("1-isohedral" is the same as "isohedral".) A monohedral polyhedron or monohedral tiling ( m = 1) has congruent faces, either directly or reflectively, which occur in one or more symmetry positions.

  3. Icosahedron - Wikipedia

    en.wikipedia.org/wiki/Icosahedron

    Pyritohedral symmetry has the symbol (3*2), [3 +,4], with order 24. Tetrahedral symmetry has the symbol (332), [3,3] + , with order 12. These lower symmetries allow geometric distortions from 20 equilateral triangular faces, instead having 8 equilateral triangles and 12 congruent isosceles triangles .

  4. List of character tables for chemically important 3D point ...

    en.wikipedia.org/wiki/List_of_character_tables...

    This lists the character tables for the more common molecular point groups used in the study of molecular symmetry.These tables are based on the group-theoretical treatment of the symmetry operations present in common molecules, and are useful in molecular spectroscopy and quantum chemistry.

  5. Template : List of chemical compound symbol templates

    en.wikipedia.org/wiki/Template:List_of_chemical...

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  6. Alchemical Symbols (Unicode block) - Wikipedia

    en.wikipedia.org/wiki/Alchemical_Symbols...

    Alchemical Symbols is a Unicode block containing symbols for chemicals and substances used in ancient and medieval alchemy texts. Many of the symbols are duplicates or redundant with previous characters.

  7. List of chemical elements - Wikipedia

    en.wikipedia.org/wiki/List_of_chemical_elements

    A chemical element, often simply called an element, is a type of atom which has a specific number of protons in its atomic nucleus (i.e., a specific atomic number, or Z). [ 1 ] The definitive visualisation of all 118 elements is the periodic table of the elements , whose history along the principles of the periodic law was one of the founding ...

  8. Icosahedral symmetry - Wikipedia

    en.wikipedia.org/wiki/Icosahedral_symmetry

    Icosahedral symmetry fundamental domains A soccer ball, a common example of a spherical truncated icosahedron, has full icosahedral symmetry. Rotations and reflections form the symmetry group of a great icosahedron. In mathematics, and especially in geometry, an object has icosahedral symmetry if it has the same symmetries as a regular icosahedron.

  9. Hexagonal trapezohedron - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_trapezohedron

    It is an isohedral (face-transitive) figure, meaning that all its faces are the same. More specifically, all faces are not merely congruent but also transitive, i.e. lie within the same symmetry orbit. Convex isohedral polyhedra are the shapes that will make fair dice. [1]

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