Shown in the conformal ('stereographic') disc model. In each, the origin is equidistant from the three defining mirrors.
Made by crude little Python programs. Full size is 2520 pixels (least common multiple of 1,2,3,4,5,6,7,8,9,10).
Ranked by the area of the fundamental triangle.
|p q r||xxx||xox||oox||oxx||oxo||xxo||xoo||snub|
|2 3 7
|2 4 5
|3 3 4
|2 3 ∞
|2 ∞ ∞
|∞ ∞ ∞
In my opinion the above six rows abundantly illustrate the principles; but, by popular demand, I made a hundred more. (And it appears that each row now has at least one article in Wikipedia. I lament my role as enabler.)
Orbits of two idealized asteroids of the Hilda family, in the rotating reference frame of Jupiter.