A cross section is normally considered to be a two dimensional cut through a three dimensional shape, however when shapes are extended into the fourth spatial dimension, a three dimensional cross section can be cut. This video shows a three dimensional cross section of a four dimensional torus, changing as the cross sectional "plane" (which is now a 3d space) moves along its fourth axis.
Sunday, March 29, 2009
Week 4
A cross section is normally considered to be a two dimensional cut through a three dimensional shape, however when shapes are extended into the fourth spatial dimension, a three dimensional cross section can be cut. This video shows a three dimensional cross section of a four dimensional torus, changing as the cross sectional "plane" (which is now a 3d space) moves along its fourth axis.
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