Polynomial matings on the Riemann sphere

Dendrite (5/12,7/12) | Dendrite 1/12

According to Shishikura and Milnor, this gives a Lattès map.

Now a video with only the hemispheres visible: the boundary curve is naturally parameterized by the circle C and tends to a sphere-filling curve.

• The first movie above (mp4, 3.0MB)
• The second movie above (mp4, 1.5MB)