The Fourth Dimension Continued

The Fourth Dimension Continued
  • Currently 4.0/5 Stars.
2305 views, 2 ratings - 00:15:07
Part of video series The Fourth Dimension
Taught by IsAllAboutMath
This video continues a discussion of the fourth dimension, this time with a look at a 4-dimensional sphere and stereographic projections of 4-dimensional polyhedra into 3 dimensions.
  • What is the 4th dimension?
  • How can you visualize the fourth dimension?
  • What does a 4-dimensional sphere look like?
  • What is a simplex?
  • What is a hypercube?
  • What is a 24-cell, 120-cell, and 600-cell?
  • What do 4-dimensional polyhedra look like when stereographically projected in 3 dimensions?
This video uses analogy similar to the previous video in this series, but now it looks at a 4-dimensional sphere, or S3 sphere. Also, the other 4-dimensional polyhedra that have already been analyzed are viewed using stereographic projections onto 3-space. The resulting images are quite spectacular.
  • Currently 4.0/5 Stars.
Reviewed by MathVids Staff on March 14, 2009.
 
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