You may also like
Tetrahedron Faces
One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow. How many different possibilities are there?
Redblue
Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?
Dodecamagic
Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
Age 7 to 11
Challenge Level
How many faces/edges/vertices does this shape have?
How many other faces does each face touch?
Have you tried drawing a net of the shape?
It might help to make the shape out of Polydron, or perhaps you can find some solid shapes to work with?
How many other faces does each face touch?
Have you tried drawing a net of the shape?
It might help to make the shape out of Polydron, or perhaps you can find some solid shapes to work with?
Copyright © 1997 - 2023. University of Cambridge.
All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.