Dynamic symmetry

A. H. Church analysis analyzed by L. D. artists Boston Museum bowl ratio Century B. C. circle Collection at Yale composed construction curve cuts the diagonal defined determine divided drawn and analyzed dynamic symmetry early black-figured elements equal equilateral triangle example extreme and mean find first five fixed fixes foot fraction geometrical golden section Greek design handles human figure HYDRIA intersection Kalpis kantharos kylix L. D. Caskey Lekythos line drawn logarithmic spiral major shape major square Measured and drawn Metropolitan Museum Museum Staff Nolan Amphora Oinochoe overall ratio overall shape pelike pentagon perpendicular phyllotaxis pole produced proportions pyxis reciprocal red-figured relation right angle root rectangles root-five rectangle root-five shape root-four rectangle root-three rectangle root-two figure root-two rectangle side similar shape Skyphos STAMNOS static symmetry Stoddard Collection subdivision tangle theme in root-two unity whirling square rec whirling square rectangle whole width