50 citations · 80 across the 14 of their papers we have counts for
4 papers · 1 filter
Cross-ratio dynamics on ideal polygons
Maxim Arnold, Dmitry Fuchs, Ivan Izmestiev +1
Two ideal polygons, and , in the hyperbolic plane or in hyperbolic space are said to be -related if the cross-ratio $[p_i,p_{i+1},q_i,q_{i+1…
Iterating evolutes and involutes
M. Arnold, D. Fuchs, I. Izmestiev +2
We study iterations of two classical constructions, the evolutes and involutes of plane curves, and we describe the limiting behavior of both constructions on a class of smooth cur…
Periodic trajectories in the regular pentagon, II
Dmitry Fuchs, Serge Tabachnikov
In our recent paper, we studied periodic billiard trajectories in the regular pentagon and closed geodesic on the double pentagon, a translation surface of genus two. In particular…
Periodic trajectories in the regular pentagon
Diana Davis, Dmitry Fuchs, Serge Tabachnikov
We study periodic linear trajectories in the double pentagon and periodic billiard trajectories in the regular pentagon.