Spiral Patterns
by Steve Phelps
skips
questions

March 21, 2012
Sometimes it looks like the points are moving on opposite directions. What happens when the slider is greater than 180 degrees?
Sequel





What is delta in radians? What is th polar equation? Why are the patterns behaving that way?

What is significant about when the pattern appears to be completely linear?

What's the relationship between the angle measure and the symmetry of the figure?






how come sometimes the arms are straight and sometimes curved? why does the number change?




Why are the "nice" angles (30, 45, 60, 72, 90...) come to straight lines?






At what angles to the points form straight lines? What the relationship between those angles?

anim. needs smoothing, also should cut before an alignment, so stdn will ask "what is the next angle that produces alignment?" go fm. there






What is the relationship between alpha and the times when the spiral straightens out or reverses direction?











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