Symmetries of Icosahedron Puzzle

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rotations
reflections
both
all symmetries
number of given faces
2
3
4
5
new example
show solution
1
2
3
4
5
6
7
8
9
10
11
12
3
8
9
In an icosahedral die, the sum of the numbers on opposite vertices is equal to 13. Symmetry is applied to the die to move some vertices into the original vertices, as shown in the table, which specifies images of the other vertices.
Choose the type of symmetry and click "new example" to generate a puzzle.

External Links

Dodecahedron (Wolfram MathWorld)
Regular Icosahedron (Wolfram MathWorld)
Icosahedral Group (Wolfram MathWorld)
Icosahedral Group Polyhedra
Icosahedral Rotational Symmetry Types
Generating 3D Figures with a Given Symmetry Group
Symmetries of the Octahedron
Symmetries of the Dodecahedron
Rotation Symmetries of Prisms
Rotation Symmetries of Antiprisms

Permanent Citation

Izidor Hafner
​
​"Symmetries of Icosahedron Puzzle"​
​http://demonstrations.wolfram.com/SymmetriesOfIcosahedronPuzzle/​
​Wolfram Demonstrations Project​
​Published: August 14, 2023