25 citations · 112 across the 30 of their papers we have counts for
4 papers · 1 filter
Minimal Arrangements of Spherical Geodesics
Giovanni Viglietta
We study arrangements of geodesic arcs on a sphere, where all arcs are internally disjoint and each arc has its endpoints located within the interior of other arcs. We establish fu…
Pushing Blocks by Sweeping Lines
Hugo A. Akitaya, Maarten Löffler, Giovanni Viglietta
We investigate the reconfiguration of blocks, or "tokens", in the square grid using "line pushes". A line push is performed from one of the four cardinal directions and pushes…
A Theory of Spherical Diagrams
Giovanni Viglietta
We introduce an axiomatic theory of spherical diagrams as a tool to study certain combinatorial properties of polyhedra in , which are of central interest in the conte…
Simulating a die roll by flipping two coins
Giovanni Viglietta
We show how to simulate a roll of a fair -sided die by one flip of a biased coin with probability of coming up heads, followed by flips of a f…