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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?
Polyhedra
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articleEuler'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. -
articleThinking 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?
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articlePaper folding - models of the Platonic solids
A description of how to make the five Platonic solids out of paper.
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articleInvestigating solids with face-transitivity
In this article, we look at solids constructed using symmetries of their faces.
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pagePlatonic and Archimedean solids
In a recent workshop, students made these solids. Can you think of reasons why I might have grouped the solids in the way I have before taking the pictures?
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pageModular origami polyhedra
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
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articleLet's get flexible with geometry
In this article for primary teachers, Ems explores ways to develop mathematical flexibility through geometry. -
articleGoing deeper: achieving greater depth with geometry
This article for Primary teachers outlines how providing opportunities to engage with increasingly complex problems, and to communicate thinking, can help learners 'go deeper' with geometry.