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GRiddles Series A: Puzzle 1
Chromatic rotations
A 101 × 101 grid is divided into 1012 unit cells. Each cell is to be coloured in yellow, grey or green.
A colouring is called proper if: no two cells sharing an edge have the same colour and every 2 × 2 square composed of four cells contains all three colours.
Proper colourings are grouped as follows: two proper colourings belong to the same group if one can be obtained from the other by a rotation of the grid.
Determine the number of such groups of proper colourings.
Answer format: Write the answer as a decimal or a formula.
Submit your answer here!
Please note, we will only take your first submission into account.
