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Hypocycloid




The .

Such curves can be drawn with the '' Spirograph '' toy.

A hypocycloid with ''n + 1'' Cusp s can be defined by the following pair of Parametric Equation s:
: x( heta) = \cos heta + {1 \over n} \cos n heta,
: y( heta) = \sin heta - {1 \over n} \sin n heta.

The hypocycloid is a special kind of Hypotrochoid .

A hypocycloid and its Evolute are Similar . {Link without Title}

A hypocycloid curve with four cusps is known as an Astroid .

The Pittsburgh Steelers ' logo includes three Astroids ( Hypocycloids of four Cusps ). In his weekly NFL.com column ''Tuesday Morning Quarterback,'' Gregg Easterbrook often refers to the Steelers as the Hypocycloids.

See also: Cycloid , Epicycloid .