Hypocycloid prove that an epicycloid with "k" cusps moves snugly inside one with "k"+1 cusps. The evolute of a hypocycloid is an enlarged version of the hypocycloid itself, while the involute of a hypocycloid is a reduced copy of itself. The pedal of a hypocycloid with pole at the center of the hypocycloid is a rose curve. The isoptic of a hypocycloid is a hypocycloid. Curves similar to hypocyloids can be drawn with the Spirograph toy. Specifically, the Spirograph can draw hypotrochoids and epitrochoids. The Pittsburgh Steelers' logo, which is based on the Steelmark, includes three astroids (hypocycloids of four cusps).
Denys brass, Olveston father to L in Dexter position of honour. Russell was his heiress-mother, Gorges a former Russell heiress. On the R. is Sir Walter Denys, the son, with the arms of his co-heiress 2nd. wife, Agnes Danvers, in the 4th. Q. Denys:"3 leopards' faces jessant-de-lys, over all a bend engrailled". With tinctures it becomes:"Gules, 3 leopards' faces or jessant-de-lys azure, over all a bend engrailled of the last".The Denys arms blazoned with these tinctures survive earliest in BL Add.MS 45131,f.54, a 1509 drawing of Hugh Denys of Osterley(d.1511) at the deathbed of Henry VII. The armourials are the arms of Cantilupe