2D representations of 3D shapes

problem
Icosian game

Age

11 to 14

Challenge level

This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
problem
Isometric drawing

Age

11 to 14

Challenge level

Explore the properties of isometric drawings.
problem
Oblique projection

Age

11 to 14

Challenge level

Explore the properties of oblique projection.
problem
Nicola's jigsaw

Age

11 to 14

Challenge level

Nicola has lost a piece of her 3D jigsaw. Can you work out the shape of the missing piece?
problem
Which solids can we make?

Age

11 to 14

Challenge level

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?
problem
The solid

Age

11 to 16

Challenge level

A task which depends on members of the group working collaboratively to reach a single goal.
problem
Solids

Age

11 to 16

Challenge level

A task which depends on members of the group working collaboratively to reach a single goal.
problem
Perspective drawing

Age

11 to 16

Challenge level

Explore the properties of perspective drawing.
problem
Nine colours

Age

11 to 16

Challenge level

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
problem
Which face?

Age

14 to 16

Challenge level

Which faces are opposite each other when this net is folded into a cube?