Dimension 3

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Taught by IsAllAboutMath
  • Currently 4.0/5 Stars.
2770 views | 3 ratings
Lesson Summary:

In this lesson, M.C. Escher takes us on an adventure with two-dimensional creatures attempting to visualize three-dimensional objects. The creatures struggle to understand the concept of depth and must rely on their geometric intuition to understand the shapes crossing through their plane. Escher introduces a second method of explaining polyhedra by inflating them and projecting them onto the plane of the creatures. The lesson concludes with a discussion of the platonic solids and a challenge to visualize the fourth dimension.

Lesson Description:

M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.

Questions answered by this video:
  • 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?
  • Staff Review

    • Currently 4.0/5 Stars.
    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.
  • squeaky78

    • Currently 5.0/5 Stars.
    it helps me alot