a new hexagonal web of circles I
 | this activity is a page of geogebra-book elliptic functions & bicircular quartics & . . . (27.04.2023) |
A 2-part bicircular quartic possesses 4 different concyclic focal points
and 4 paired orthogonal symmetry circles: (on which the focal points lie) and ; the latter is imaginary.
2 pairs of double-touching circles and a hyperbolic pencil of circles around 2 of the focal points create a 3-web-of-circles,
if the 3 families of circles belong to 3 different symmetries with respect to the circles.
If one replaces the hyperbolic pencil of circle by the orthogonal elliptical pencil, one obtains
also a 3-web-of-circles.