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).
Toy soldier include the Plastic Warrior Show, which is the oldest established show in the U.K. Beginning in 1985 and still being held annually in Richmond, South London. Another well known show is the London Toy Soldier Show held in central London (now owned and operated by the magazine Toy Soldier Collector), the Miniature Figure Collectors of America (MFCA) show in Valley Forge, the Chicago Toy Soldier Show (OTSN) in Illinois, the East Coast Toy Soldier Show in New Jersey, the West Coaster Toy Soldier Show in California, the Sammlerbörse (Collector's Market) in Friedberg, Germany and the biennial Zinnfigurenbörse (Tin Figure Market)