Yes! temple geometry or apollonian circle packings will generate beautiful patterns. However I didn't try yet. Here is another example, the circles is derived from limit set of Maskit groups. https://soma-arc.net/JosKleinExperiment/ …
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this might be a good one to begin with: http://gogeometry.com/school-college/1/p1081-equilateral-triangle-circle-tangent-radius-sangaku-class-math.htm …
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