This curve is the envelope formed by starting with a fixed circle and drawing all circles whose centers are on the fixed circle and which go through a fixed point on the fixed circle.
This curve is the envelope formed by starting with a fixed circle and drawing all circles whose centers are on the fixed circle and which go through a fixed point on the fixed circle. If the value k is used to generate one of these, then its circumference is 8 k. One of these gives the largest border for the Mandelbrot set, and, similar to a cycloid, one can be generated by following a point on a circle as that circle rolls around another circle with the same radius. This is generated by the polar equation r equals k times the quantity one minus cosine theta. Name this type of limaçon [lim-uh-sawn] named for its resemblance to a heart.
This curve is the envelope formed by starting with a fixed circle and drawing all circles whose centers are on the fixed circle and which go through a fixed point on the fixed circle.
cardioid [prompt on limaçon]