4 videos in "2nd, 3rd, 4th Dimensions and Beyond"
Dimension 3
Dimension 3
774 views - 00:15:09
Part of video series The Fourth Dimension
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M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.
- Who is M.C. Escher?
- Who is Edwin A. Abbott?
- What is Flatland?
- Where can I find 2-dimensional projections of 3-dimensional objects and shapes?
- What are cross-sections of 3-dimensional polyhedron?
- What are platonic solids?
- How can you recognize and identify polyhedron from their projections?
This lesson is a prelude to a look at the fourth dimension. It is a consideration of the third dimension by 2-dimensional beings, similar to the book Flatland by Edwin A. Abbott. M. C. Escher and his works are also discussed. 3-dimensional polyhedron such as a tetrahedron, cube, octahedron, icosahedron, and dodecahedron are analyzed as they pass through a 2-dimensional plane. Also shown are stereographic projections of the polyhedron on a 2-dimensional plane, and they are identified by their projections.
it helps me alot
