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Tessellations

Tasha Jones

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Group Theory

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Major Maths - Dave Mind Map on Group Theory, created by Tasha Jones on 09/05/2013.

Mind Map by Tasha Jones, updated more than 1 year ago

	Created by Tasha Jones about 12 years ago

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Resource summary

Group Theory

Three Models
1. Plane Figures
  1. Combination Table (Caley)
  2. Tessellations
    1. Regular (3)
      1. Hexagon (6^3)
      2. Quadrilateral (4^4)
      3. Triangle (3^6)
    2. Semi-regular (8)
    3. Irregular (lots)
  3. Symmetry
    1. Rotational
      1. Cn
      2. Dn
    2. Reflective
      1. Dn
2. Modular Mathematics
  1. Combination Table (Caley)
3. Polyhedra
  1. Platonic Solids (5)
    1. Tetrahedron (4)
    2. Cube (6)
    3. Octahedron (8)
    4. Dodecahedron (12)
    5. Icosahedron (20)
  2. Archimedean Solids (13)
    1. Snub Cubotahedron
    2. Icosidodecahedron
Four Group Axioms
1. A. Closed
2. B. Associative
3. C. Identity
4. D. Inverse

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