English: Vichy fractal, also known as the Kiss fractal. The group is based on the family of Vichy series, which are defined over the space of pairs of real numbers. The pair a[k+1], b[k+1] is defined according to the recurrence relation: a[k+1] = a[k]^3 - 3a[k]b[k]^2 + 1.3a[k]; b[k+1] = 3b[k]a[k]^2 - b[k]^3 + 1.3b[k]; The series differ from each other in the first term a[0], b[0]. The Vichy group is the set of all pairs whose Vichy series starting from them is a blocked series.