You can move the pink point and black point and you can ajust the slider. You can also select predefidned examples or enter your own sequences.
This animation lets you freely configure sequences of nested rings in the spirit of
the celestical configuration applied to the points of a Poncelet polygon. The method is described in detail in our paper.
The inner and the outer conic of the starting Poncelet ring are circles (this is already the general case, up to projective transformation). You can move the center of the inner circle by moving the black point. The Poncelet polygon can be rotated by moving the pink point.
You can change the number $n$ of points in the Poncelet polygon by moving the slider.
The Poncelet polygon is computed by numerical approximation. So give it a moment to ajust.
The text line below lets you enter your own sequence of skips. All numbers in the sequence must be below $n/2$.
The sequence must be such that no two consecutive numbers are equal (cyclically). Every number on an even place must occur on an odd place as well, and the total number of entries in the sequence must be even. Then you will always get a corresponding $(N_4)$ configuration where $N$ is a multiple of $n$.