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Flatland & Dimensions

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Tsenne Kikke
Tsenne Kikke

Lid sinds: april 2005
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maandag 12 april 2010 21:58 :: Onderwerp: Flatland & Dimensions
1) Intro



2) Carl Sagan: Flatland & Tesseract



3) Tesseract



4) Rotating Tesseract



5) HyperCube Tesseract



6) The 4D-Cube



7) Drawing the Hypercube # 1



8) Drawing the Hypercube # 2



9) Voor de Eclecticus: The HyperCube + linken met # 10 en 11 ...



10) Gravity: Making Waves



11) Ripples In spacetime



12) The sculpture, designed by Adrian Ocneanu, professor of mathematics at Penn State, presents a three-dimensional "shadow" of a four-dimensional solid object.



13) Next Step: Fourth Spatial Dimension



Notes:
#1: (1:10) Obviously your room would only exist in a single 3d space. Technically, the room described here is actually 4-dimensional.

#2: (2:30) This is a 2d object (ie, unlike a piece of paper), which means there is no no "front" or "back" - so you can see all the points at once.

#3: (4:31) For this analogy, we are comparing the act of drawing on an ordinary canvas, on both the 3d and 4d worlds. Carving, sculpting and creating 3d models on the computer don't change the fact that humans can not "draw" a real 3d shape by hand on a "flat" surface.

#4: (5:49) The 3d objects and the light source are on different 3d spaces.

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