11 citations · 14 across the 2 of their papers we have counts for
4 papers · 1 filter
On -deformations of polygonal dendrites
Dmitry Drozdov, Mary Samuel, Andrey Tetenov
We find the conditions under which the attractor of a deformation of a contractible polygonal system is a dendrite.
On Dendrites Generated By Symmetric Polygonal Systems: The Case of Regular Polygons
Mary Samuel, Dmitry Mekhontsev, Andrey Tetenov
We define -symmetric polygonal systems of similarities and study the properties of symmetric dendrites, which appear as their attractors. This allows us to find the conditions u…
On dendrites, generated by polyhedral systems and their ramification points
Andrei Tetenov, Mary Samuel, Dmitry Vaulin
The paper considers systems of contraction similarities in sending a given polyhedron to polyhedra , whose non-empty intersections are singletons an…
Self-Similar Dendrites Generated by Polygonal Systems in the Plane
Mary Samuel, Andrey Tetenov, Dmitry Vaulin
We consider a method of construction of self-similar dendrites on a plane and establish main topological and metric properties of resulting class of dendrites.