Polyhedra

There are 45 NRICH Mathematical resources connected to 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?