Geometry
Forms of Circles (Kreisbilder)
Applet for drawing forms of circular movements as described above: altogether
four interdependent cycloid "trajectories" are available. A common radius of
70 is default, thickness of lines: 1 (units are pixel), equal velocity, equal direction.
The single parameters can be adjusted by scrolling the number fields:
- radius of single "trajectories" (r1 - r4, values: 1 - 300)
- thickness of single lines (s1 - s4, values: 0 - 50; 0 = unvisible, 50 = broad line)
- velocity of single "trajectories" relative to the others (v1 - v4; π-factor; values: +/-250)
- direction of rotation (v1 - v4; click on "=>" changes direction (negative value))
- density of lines (d, values 1 - 1000; 1 = lines only marked by a few points,
1000 = more complete lines - depending on complexity of relations)
To try out turn velocities to 5 : 6 : 7 : 8 (would correspond with a dominant-seventh-chord,
first inversion), then 5 : -6 : 7 : -8, then 5 : 6 : -7 : -8 and so on.
Java-Applet ...
Lines and Curves
Cellular Automata
Experiments on the theory of "cellular automata": graphics result from a generation
of each single colored point by calculating its state (light or dark) from the state
of all immediate surrounding points (very CPU-intensiv!).
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