Photos of Interactive Mathematics Miscellany and Puzzles

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H,F,E,G are midpoint of AB,BC,CD,DA respectively. O is circumcenter of (ABCD); ON=OM=OL=OK. And four circles (NAB), (MBC), (LCD), (KDA) again at A1,B1,C1,D1. Then A1B1C1D1 are rectangle