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math.GT2011
The smallest Haken hyperbolic polyhedra
Christopher K. Atkinson, Shawn Rafalski
We determine the lowest volume hyperbolic Coxeter polyhedron whose corresponding hyperbolic polyhedral 3-orbifold contains an essential 2-suborbifold, up to a canonical decompositi…
math.GT2011
Small hyperbolic polyhedra
Shawn Rafalski
We classify the 3-dimensional hyperbolic polyhedral orbifolds that contain no embedded essential 2-suborbifolds, up to decomposition along embedded hyperbolic triangle orbifolds (t…