by Aale de Winkel » Wed Feb 25, 2004 11:57 am
Well eh perhaps you can view the impossible pictures by M.C. Escher in a way artistic 4d pictures, I don't know.
However the staircase that moves always downwards returning onto itself at the highest(?) point of the stairs remains essentially a 2d staircase, the downward move is impossible in a real 3d building.
Also the perpetuumly flowing river is still a normal river, but just as the simular staircase above is impossible in 3 dimensions
That darn E where the top and bottom opening ends like a cylinder while the middle horizontal ends in open space.
En fin, you probably kow the objects, might these be real objects in tetraspace.
I don''t know wheter Escher also has a picture of the Kleins Flask, (probably), but certainly also artistic versions of this object probably are around.
I know Escher based his pictures on the mathematics behind them, but certainly you also view them artistic.
The ant on the mobiüs belt, might have as counterpart some trionian on some Kleins Flask road(?).
Interesting project.
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