Polyhedra

  • Guess What?
    problem

    Guess what?

    Age
    7 to 11
    Challenge level
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    Can you find out which 3D shape your partner has chosen before they work out your shape?
  • More Dicey Decisions
    problem

    More dicey decisions

    Age
    16 to 18
    Challenge level
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    The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?
  • Which solids can we make?
    problem

    Which solids can we make?

    Age
    11 to 14
    Challenge level
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    Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

  • Which solid?
    problem

    Which solid?

    Age
    7 to 16
    Challenge level
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    This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
  • Next size up
    problem

    Next size up

    Age
    7 to 11
    Challenge level
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    The challenge for you is to make a string of six (or more!) graded cubes.

  • Lighting up time
    problem

    Lighting up time

    Age
    7 to 14
    Challenge level
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    A very mathematical light - what can you see?
  • Magnetic personality
    problem

    Magnetic personality

    Age
    7 to 16
    Challenge level
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    60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?
  • Octa-flower
    problem

    Octa-flower

    Age
    16 to 18
    Challenge level
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    Join some regular octahedra, face touching face and one vertex of each meeting at a point. How many octahedra can you fit around this point?