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math.HO2016
Conformally correct tilings
Saul Schleimer, Henry Segerman
We discuss the art and science of producing conformally correct euclidean and hyperbolic tilings of compact surfaces. As an example, we present a tiling of the Chmutov surface by h…
math.HO2014★ 1 cited
The Quaternion Group as a Symmetry Group
Vi Hart, Henry Segerman
We briefly review the distinction between abstract groups and symmetry groups of objects, and discuss the question of which groups have appeared as the symmetry groups of physical…
math.HO2012
Sculptures in S^3
Saul Schleimer, Henry Segerman
We construct a number of sculptures, each based on a geometric design native to the three-dimensional sphere. Using stereographic projection we transfer the design from the three-s…