KöMaL 2009 C1012
A circle passing through the centre of a square is drawn about each vertex. The circles intersect the sides of the square at 8 points altogether. Prove that the intersections form a regular octagon.
Official text KöMaL. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.