Orb is a computer program that can find hyperbolic structures on a large class of hyperbolic 3-orbifolds and 3-manifolds. It can start with a projection of a graph embedded in the 3-sphere, and produce and simplify a triangulation with some prescribed subgraph as part of the 1-skeleton and the remainder of the graph drilled out. It enables computation of hyperbolic structures on knot complements, graph complements and orbifolds whose underlying space is the 3-sphere minus a finite number of points. The code was created by modifying Jeff Weeks’ computer program SnapPea.
Keywords for this software
References in zbMATH (referenced in 6 articles )
Showing results 1 to 6 of 6.
- Kolpakov, Alexander; Riolo, Stefano: Counting cusped hyperbolic 3-manifolds that bound geometrically (2020)
- Kolpakov, Alexander; Murakami, Jun: Combinatorial decompositions, Kirillov-Reshetikhin invariants, and the volume conjecture for hyperbolic polyhedra (2018)
- Heard, Damian; Hodgson, Craig; Martelli, Bruno; Petronio, Carlo: Hyperbolic graphs of small complexity (2010)
- Goodman, Oliver; Heard, Damian; Hodgson, Craig: Commensurators of cusped hyperbolic manifolds (2008)
- Heard, Damian; Pervova, Ekaterina; Petronio, Carlo: The 191 orientable octahedral manifolds (2008)
- Petronio, Carlo; Heard, Damian; Pervova, Ekaterina: Combinatorial and geometric methods in topology (2008)