The Generalization of the reflection of a triangle [La généralisation de la réflexion d'un triangle].
The blue spheres display the intersection points of the blue lines with the continuation of the red sides.
Instead of using three points {P(1),P(2),P(3)}
defining a triangle, one use a set of N points
{P(1),P(2),...,P(N)} defining
the polygon {P(1),P(2),...,P(N),P(1)}.
Starting with i=1, for each subset of three points {P(i),P(i+1),P(i+2)},
the red point P(i) is transformed into a green point using the "blue" symmetry
about the red {P(i+1),P(i+2)} side.
At last, this process is iterated by incrementing the index 'i' (+1).
See some related bidimensionnal visualizations (possibly including this one), the blue spheres (if any) displaying the intersection points of the blue lines with the red sides:
See some related tridimensionnal visualizations (possibly including this one), the blue spheres (if any) displaying the intersection points of the blue lines with the red faces:
(CMAP28 WWW site: this page was created on 07/26/2016 and last updated on 10/05/2016
08:26:35 -CEST-)
