Sufficiently elongated ellipses (eggs) can be arranged in a pentagonal
packing.
What is the least eccentric ellipse that can do this?
Can you construct a quasicristal with ellipses?
Sunflower seeds look a bit similar...
Nice pictures of tiling and
spiraled patterns here
Dodecahedral packing
Regular dodecahedra almost pack space. (In a suitable neighbourhood of
a
black hole, they would form a perfect packing, due to the curvature of
space)
A "Stewart Toroid" I discovered years ago, based on dodecahedra and
"tri-diminished icosahedra":
Note that icosa-dodecahedra nicely fit in the holes, forming a quasi
crystalline packing.
Related
to this, here are some
funky structures you can build with rhombicosidodecahedra:
Regular dodecahedra can be arranged in a cubic lattice, such that faces
of the dodecahedra touch.
The arrangement leaves a gap, which can be filled with the shape below:
The faces can be formed from intersecting pentagons.
This shape, together with regular dodecahedra, can pack space, in a
cubical lattice
Below are 2 pictures on how the packing works.
Animation of the lattice D5.
Variation
on the Rossler attractor. One of the simplest chaotic
systems is the Rossler
attractor:
dx/dt = - (y+z) dy/dt= x+ay dz/dt= b+z(x-c) Made a simution:
I made a variation that is a bit more similar to the Harmonic
oscillator:
dx/dt = v
dv/dt = -x -R*v
dR/dt = -a+b*(x^2+v^2)
If R=constant, we have the "ordinary" damped harmonic oscillator.
So we have damping as a 3rd dynamic variable, that depends non-linearly
on x and v.
More variations:
The
strange pattern below
was created as follows.
My sun was rubbing some children's paint across a paper.
Then he hit the painted paper repeatedly with his hands.
After it dried, it looked like this:
Weird...
JuliaBrot fractal.
Source:
For
x = 1 To xpix
For y = 1 To ypix
xx = x_min + (x_max - x_min) * x / xpix
yy = y_min + (y_max - y_min) * y / ypix
