Symmetry

according angle Answer appear arises arithmetic mean axis band boundary called Cartesian cathetus center of gravity chessboard circle circle-reflection common consists constant construction contains coordinates course covering curves defined determine diagonal diameter direction Dirichlet parquet distance divisible edge center equal equation equilateral triangles error example Figure fixed follows further geometric given grid half harmonic mean height hypotenuse idea infinitely integer intersection lattice points length logarithmic spiral look loxodrome mapping Mathematical measurement midpoint mirror Möbius monitor obtain original palindromic number parallel parquet pattern pieces pocket mirror polar position possible primitive Pythagorean triangle Pythagoras quadrilateral Question radius ratio reference reference-circle reflection regular hexagons remain Remark right-angled triangle rotation segment sequence shows side similar situation speed square lattice steps straight line surface center symmetry Theorem tiles translation triangular turned unit vertex vertices