Another Dark Little Corner

moon phases

Started this before change to "New Blogger", as backup in case of trouble with digiphoto blog "In a Small Dark Room", or rants & links blog "Hello Cruel World" . Useful - at one stage Dark Room was there, but like the astrophysical Dark Matter, we could't see it ... better now, but kept Just In Case.

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There is nothing. There is no God and no universe, there is only empty space, and in it a lost and homeless and wandering and companionless and indestructible Thought. And I am that thought. And God, and the Universe, and Time, and Life, and Death, and Joy and Sorrow and Pain only a grotesque and brutal dream, evolved from the frantic imagination of that same Thought.
Mark Twain (letter to Joseph Twichell after his wife's death)
[me, on a bad day]

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Cabinet Magazine Online - Crocheting the Hyperbolic Plane: An Interview with David Henderson and Daina Taimina
("Crocheted model of pseudosphere (the hyperbolic equiabvalent of a cone) by Daina Taimina. Photo courtesy Steve Rowell/The Institute for Figuring
Until the 19th century, mathematicians knew about only two kinds of geometry: the Euclidean plane and the sphere. It was therefore a deep shock to their community to find that there existed in principle a completely other spatial structure whose existence was discerned only by overturning a 2000-year-old prejudice about 'parallel' lines. The discovery of hyperbolic space in the 1820s and 1830s by the Hungarian mathematician Janos Bolyai and the Russian mathematician Nicholay Lobatchevsky marked a turning point in mathematics and initiated the formal field of non-Euclidean geometry. For more than a century, mathematicians searched in vain for a physical surface with hyperbolic geometry. Starting in the 1950s, they began to suggest possibilities for constructing such surfaces. Eventually, in 1997, Daina Taimina, a mathematician at Cornell University, made the first useable physical model of the hyperbolic "

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