Placeholder: How many ways are there to paint 6 faces of similar cubes with six colours (1,...,6) [one per face] so that no two of the coloured cubes obtained would be the same (could not be transformed one into another by a rotation)? How many ways are there to paint 6 faces of similar cubes with six colours (1,...,6) [one per face] so that no two of the coloured cubes obtained would be the same (could not be transformed one into another by a rotation)?

@generalpha

Prompt

How many ways are there to paint 6 faces of similar cubes with six colours (1,...,6) [one per face] so that no two of the coloured cubes obtained would be the same (could not be transformed one into another by a rotation)?

distorted image, malformed body, malformed fingers

16 days ago

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SSD-1B

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7

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1024 × 1024

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How many ways are there to paint 6 faces of similar cubes with six colours (1,...,6) [one per face] so that no two of the coloured cubes obtained would be the same (could not be transformed one into another by a rotation)?
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Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do
UN COUP DE DÉS
Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do

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