PPT Slide

Even here we are violating the

geometric definition of a cube.

6-sides

equal length lines

90 degree corners

Angle b,a,c is not 90 degrees.

a

b

c

Whenever we represent a 3-dimensional object in 2 dimensions

something gets distorted. Here it’s some of the angles.

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Once upon a time you memorized a definition for a cube in your geometry class. Something like “A Cube is a six sided three dimensional solid with all sides of equal length and all corners being 90 degrees. Well, I started violating the geometric descriptions at the very start of this exercise. I showed you a black circle where it should have been a dimensionless point. I showed you a black line where the line should have had no width. I violated the 90 degree rule when I showed you a picture of a cube. When I showed you a tesseract, I violated the equal length sides rule. No problem. That definition is for geometry. We’re not talking geometry here. We’re talking topology!