25 OCT 2017 by ideonexus

 Children's Art Has Its Own Logic

Even simple scribbles are meaningful. While it was once thought that kids only scribbled to experience the physical sensation of moving their arm along the page, “now it’s been shown that when children are scribbling … they’re representing through action, not through pictures,” said Boston College’s Winner. “For example, a child might draw a truck by making a line fast across the page and going ‘zoom, zoom,’ and so it doesn’t look like a truck when the child is done, but i...
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This reminds me of Sagan's pumpkin-carving, where he made random cuts and took out chunks to make it scarier with more "bloody guts."

24 DEC 2016 by ideonexus

 Number Scrabble: Numerical Tic-Tac-Toe

In psychological research on problem-solving, sometimes the game of Tic-Tac-Toe is employed, which, though very simple to learn and play, still offers sufficient problems to the investigator in that it is not at all clear what heuristics are used by the subjects, except avoiding the winning move of the opponent. The same is apparently true for the isomorphic game of Number Scrabble, which is based on the fact that there exists a 3 X 3 magic square, of which rows, columns, and main diagonals a...
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31 MAY 2015 by ideonexus

 Beyond Three Dimensions

“In One Dimensions, did not a moving Point produce a Line with two terminal points? In two Dimensions, did not a moving Line produce a Square wit four terminal points? In Three Dimensions, did not a moving Square produce - did not the eyes of mine behold it - that blessed being, a Cube, with eight terminal points? And in Four Dimensions, shall not a moving Cube - alas, for Analogy, and alas for the Progress of Truth if it be not so - shall not, I say the motion of a divine Cube result in...
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12 JUN 2012 by ideonexus

 Geometry Seems Disconnected from Reality

Why is geometry often described as 'cold' and 'dry?' One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line... Nature exhibits not simply a higher degree but an altogether different level of complexity.
Folksonomies: complexity geometry
Folksonomies: complexity geometry
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It deals with orbs and squares, but clouds and trees are much more complex.