Siteswap Art

https://7131.github.io/art/

This service transforms siteswap patterns into graphics. A siteswap pattern is usually written as 3, for example, but is actually sequence of 3 3 3 ... infinitely long. The following transformations are applied to the i-th term a_i of this infinite sequence. First, each i-th term is converted to polar coordinates (r_i, θ_i) as follows:

r₀ = 0, r_i = r_i-1 + C
θ₀ = 0, θ_i = θ_i-1 + a_i * D

Where C and D are constants. Then they are converted to rectangular coordinates.

x_i = r_i * cos θ_i
y_i = r_i * sin θ_i

Finally, they are plotted on the canvas and you can get the siteswap as a graphic.

Versions

Simplified version

You can only see changes in shape due to differences in the specified pattern. It is fixed at C = 1 and D = 10 degree.

Standard version

In addition to the pattern, C and D can be specified. However, the range is 0.1 ≤ C ≤ 10, 0 ≤ D ≤ 90.

Professional version

The range of values that can be specified for C and D is large. In addition, colors can be set and the drawing formula can be changed.