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 of toy soldiers over the years. For example, John Hill & Company produced hollow cast lead figures in the same style and scale. Companies such as Elastolin and Lineol were well known for their composite figures made of glue and sawdust that included both military and civilian subjects. After 1950, rising production costs and the development of plastic meant that many shop keepers liked the lighter, cheaper, and far less prone to break in transit polythene figure. This led to greater numbers of plastic toy soldiers. The first American plastic soldiers were made by Beton as early as 1937. The