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Resources tagged with Polyhedra similar to Euler's Formula and Topology:

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Euler's Formula and Topology

Stage: 4 and 5

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. . . .

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Platonic and Archimedean Solids

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

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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Classifying Solids Using Angle Deficiency

Stage: 3 and 4

Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry

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Take Ten

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube made from 27 unit cubes so that the surface area of the remaining solid is the same as the surface area of the original 3 by 3 by 3. . . .

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Qqq..cubed

Stage: 4 Challenge Level: Challenge Level:1

It is known that the area of the largest equilateral triangular section of a cube is 140sq cm. What is the side length of the cube? The distances between the centres of two adjacent faces of. . . .

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Investigating Solids with Face-transitivity

Stage: 4 and 5

In this article, we look at solids constructed using symmetries of their faces.

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Thinking 3D

Stage: 2 and 3

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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Magnetic Personality

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?

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Rhombicubocts

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices. . . .

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Lighting up Time

Stage: 2 and 3 Challenge Level: Challenge Level:1

A very mathematical light - what can you see?