Polyhedra

  • Thinking 3D
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    Thinking 3D

    How can we as teachers begin to introduce 3D ideas to young children? Where do they start? How can we lay the foundations for a later enthusiasm for working in three dimensions?

  • Euler's Formula and Topology
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    Euler's formula and topology

    Here is a proof of Euler's formula in the plane and on a sphere together with projects to explore cases of the formula for a polygon with holes, for the torus and other solids with holes and the relationship between Euler's formula and angle deficiency of polyhedra.
  • The Dodecahedron Explained
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    The dodecahedron explained

    What is the shortest distance through the middle of a dodecahedron between the centres of two opposite faces?