A floor tile is split into four equal squares, with the top-left and bottom-right squares coloured orange. What is the order of rotational symmetry of the tile's design?

Question

Accepted Answer

2. A quarter turn moves the orange squares onto the white ones, so it does not match. A half turn 180^° swaps the two orange squares, so the design fits after 180^° and 360^°: order 2.

A floor tile is split into four equal squares, with the top-left and bottom-right squares coloured orange. What is the order of rotational symmetry of the tile's design?

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