There are 9 results
Broad Topics > 3D Geometry, Shape and Space > Dodecahedra
More Dicey Decisions
Stage: 5 Challenge Level: 
The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?
Paper Folding - Models of the Platonic Solids
Stage: 2, 3 and 4
A description of how to make the five Platonic solids out of paper.
The Dodecahedron
Stage: 5 Challenge Level:
What are the shortest distances between the centres of opposite faces of a regular solid dodecahedron on the surface and through the middle of the dodecahedron?
Dodecawhat
Stage: 4 Challenge Level:
Follow instructions to fold sheets of A4 paper into pentagons and assemble them to form a dodecahedron. Calculate the error in the angle of the not perfectly regular pentagons you make.
Classifying Solids Using Angle Deficiency
Stage: 3 and 4 Challenge Level:
Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry
The Dodecahedron Explained
Stage: 5
What is the shortest distance through the middle of a dodecahedron between the centres of two opposite faces?
Icosian Game
Stage: 3 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.
Dodecamagic
Stage: 2 Challenge Level:
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?
Platonic Planet
Stage: 4 Challenge Level:
Glarsynost lives on a planet whose shape is that of a perfect regular dodecahedron. Can you describe the shortest journey she can make to ensure that she will see every part of the planet?
