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Description

See the description of this video for basic information:

youtu.be/3NasSVVVTck

See also the description for this vid: youtu.be/lEwQPrUISAk

The values of divisors in certain ranges have different effects: Exactly 2 gives the Sierpinski triangle, with the empty triangles reaching precisely to the edges of their "parent" triangles. Any value greater than 2 increases the size of the empty triangles (empty triangles now get truncated). Any value greater than 1.5 and less than 2 shrinks the empty triangles so that they do not reach the edges of their parent triangles. Values greater than 1 up to and including 1.5 generate noise. The probability of a point being visited appears to decrease from the centroid out to the edges but the effect weakens as the dividing value increases. If the divisor is exactly 1, the walk does not move! For values less than one but greater than zero, the poles become repellors instead of attractors. The walk will tend to infinity. Dividing by zero will cause the universe to end, so don't do that, please!

All the above assumes that all three poles use the same divisor. If the divisors are not all equal, the the edge opposite each pole behaves as the divisor for that pole would suggest e.g. in this case the top pole has a divisor = 1.5 and the other two poles have -2.5 as their divisor.

Support me at www.patreon.com/user?u=9676944…
7=day free trial available!
Or support me at ko-fi.com/arbieart

Description

See the description of this video for basic information:

youtu.be/3NasSVVVTck

See also the description for this vid: youtu.be/lEwQPrUISAk

The values of divisors in certain ranges have different effects: Exactly 2 gives the Sierpinski triangle, with the empty triangles reaching precisely to the edges of their "parent" triangles. Any value greater than 2 increases the size of the empty triangles (empty triangles now get truncated). Any value greater than 1.5 and less than 2 shrinks the empty triangles so that they do not reach the edges of their parent triangles. Values greater than 1 up to and including 1.5 generate noise. The probability of a point being visited appears to decrease from the centroid out to the edges but the effect weakens as the dividing value increases. If the divisor is exactly 1, the walk does not move! For values less than one but greater than zero, the poles become repellors instead of attractors. The walk will tend to infinity. Dividing by zero will cause the universe to end, so don't do that, please!

All the above assumes that all three poles use the same divisor. If the divisors are not all equal, the the edge opposite each pole behaves as the divisor for that pole would suggest e.g. in this case the top pole has a divisor = 1.5 and the other two poles have -2.5 as their divisor.

Support me at www.patreon.com/user?u=9676944…
7=day free trial available!
Or support me at ko-fi.com/arbieart