On Symmetric Structures within Symmetric Solid Objects

by Frank C. Fung ( 1st published in March, 2010. )

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Section IV - Basic Properties of the Cube

Summary for the Section :

• In this Section, we shall take a quick look at the basic structure of the Cube and some of its properties .

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The Structure of the Cube :

• The Cube is simply a six-faced Symmetric Solid Object :
  • with each of the six (6) identical Faces being a Square .

  We then present this set of 3 views for the Cube :

  

  • And we simply take note here that the Cube has exactly eight (8) Nodal Points / Vertices .

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Taking note of the 8 Triangles :

• We also take note , at this point , of a set of 8 Triangles hidden inside the Cube :

  

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Intrinsic Shapes associated with the Cube :

• We simply take note here of the Cube's primary involvement with Squares and Triangles .

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go to the next section : Section V - Basic Properties of the Octahedron

go to the last section : Section III - Basic Properties of the Tetrahedron

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Original dated 2010-3-31