Phi Neighborhood
This video generates a flower by arranging petals around its center according to a series of fractional turns around the perimeter. A simple fraction like 0.2 (1/5) would make five straight line spokes from the center. More "complex" fractions make more complex patterns. The video shows what happens if you use a slightly different fraction for each frame of the video.
This video shows the flowers generated by using fractional turns taken from an interval around the Golden Ratio. (from 0.59 to 0.63). The Golden Ratio makes its appearance about 70% of the way through (at 42 seconds mark). There is no audio for this video.
This video was inspired by the Numberphile video called "The Golden Ratio (why it is so irrational)". "The Golden Ratio (why it is so irrational)"
Look at that video for a detailed explanation of the math behind my video.
Galaxy
This is a journey into the Galaxy region of the Mandelbrot set. It suggests a deep space hyperdrive journey past many galaxies. This journey covers about five orders of magnitude in about one minute. There is no audio.
Pinwheel Video
This is a journey into the Pinwheel region of the Mandelbrot set. The pinwheels in this video all have eleven arms. That is something you do not see every day. This journey covers about six orders of magnitude in about one minute. There is no audio.
Tilt !
Shows the tilt and rotation of the earth as seen from the sun.
Imagine you are the Sun and standing in a large field facing north. The earth is sitting on the field and and is spinning like a top, and also orbiting around you. The earth orbits around you in a large counter clockwise circle (from right to left). You keep turning so you are always facing towards the earth.
The earth is tilted. Instead of the North pole pointing straight "up", it tilts a little towards the north of the field. As the earth spins each day, and orbits each year, its North pole keeps pointing in the exact same up northward direction.
This video starts on January 1 with the earth near the north side of the field. It is tilted away from you. By March 21 the earth is near the west side of the field, but still pointing northward (to your right). June 21 finds the earth on the south side of the field, still pointing northward, but now it is pointed towards you. September 21 finds the earth on the east side of the field, still pointing northward (to your left).
In this video, the spin of the earth is slowed down to one revolution per week (52 per year). This is because showing 365 spins per year would look ugly, make it difficult to see what is going on.