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Lesson 0 of 11

3 min

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A die is a solid — a shape with depth. Open a cardboard box out flat. The flat shape is a net. Fold the net back up and the box is whole again.

Figure 1 — a flat net folds into a solid.

This is Part II, Chapter 4, Exploring Some Geometric Themes.

What you will learn

  • Faces, edges, corners — count the parts of a .
  • A net that folds up — six joined squares fold into a cube.
  • Nets that fail — most ways of joining six squares do not close.
  • Views — the flat shape you see from the front and from above.
  • Prisms and pyramids — the counts for any number of sides.
  • Fractals — a rule used again and again on its own result. Three examples are the triangle, the snowflake and the carpet.

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