2D representations of 3D shapes

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
Construct the solar system

Age

14 to 18

Challenge level

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
problem
Torus patterns

Age

16 to 18

Challenge level

How many different colours would be needed to colour these different patterns on a torus?
problem
Moving squares

Age

14 to 16

Challenge level

How can you represent the curvature of a cylinder on a flat piece of paper?
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
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
Arranging cubes

Age

7 to 11

Challenge level

A task which depends on members of the group working collaboratively to reach a single goal.
problem
28 - upward and onward

Age

7 to 11

Challenge level

Can you find ways of joining cubes together so that 28 faces are visible?
problem
Perfect eclipse

Age

14 to 16

Challenge level

Use trigonometry to determine whether solar eclipses on earth can be perfect.
problem
Stereoisomers

Age

16 to 18

Challenge level

Put your visualisation skills to the test by seeing which of these molecules can be rotated onto each other.