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Monday, 2012 July 30, 19:31 — mathematics

soap films in curved space

A few of the many triply periodic minimal surfaces can be generated from a quadrilateral slice through a tetrahedron of mirrors, as refined by Surface Evolver. I had the idea that the same concept, applied to one of the analogous tetrahedra that tile spherical 3-space, could result in a pretty model.

To my disappointment, none of the non-prismatic kaleidoscopes — those that generate the six regular polychora — hosts a nondegenerate minimal surface (of this simple form); but each of the duoprism kaleidoscopes gives at least one.

(2018) One could try minimal surfaces with the constraint of partitioning into equal volumes, if one understood how to specify such a constraint in non-Euclidean space. Apparently it needs a metric tensor, whatever that is.

Tuesday, 2012 July 17, 11:50 — me!me!me!

passerby

When I die, I’d prefer to slip away unnoticed. Ideally, let there be no record of the dates of my birth and death, only a floruit.

Tuesday, 2012 July 3, 13:39 — language, spam

divided by common letters

I’ve been getting Russian spams in which some of the Cyrillic letters “Аа В Ее К М Н Оо Рр Сс Т у Хх” are replaced by the similar Latin letters “Aa B Ee K M H Oo Pp Cc T y Xx”, defeating Google Translate.