Fixed outer circle
Rolling circle (1/3 the radius of the outer circle)
Deltoid curve formed by tracing a circumferential point on the rolling circle
In geometry, a deltoid curve, also known as a tricuspoid curve or Steiner curve, is a hypocycloid of three cusps. In other words, it is the roulette created by a point on the circumference of a circle as it rolls without slipping along the inside of a circle with three or one-and-a-half times its radius. It is named after the capital Greek letter delta (Δ) which it resembles.
More broadly, a deltoid can refer to any closed figure with three vertices connected by curves that are concave to the exterior, making the interior points a non-convex set.[1]
- ^ "Area bisectors of a triangle". www.se16.info. Retrieved 26 October 2017.