Subcategories

• Module 3 Day 16 Challenge Part 1

  Icosahedron Faces

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  Editing 100

• Module 3 Day 16 Challenge Part 2

  Faces, Edges, Vertices of Platonic Solids

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• Module 3 Day 16 Challenge Part 3

  Euler's Polyhedral Formula

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  @rz923 Me

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  Jk...

• Module 3 Day 16 Your Turn Part 1

  Stellated Dodecahedron

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  @The-Blade-Dancer That's a really good way! I like it!

   
  
   
  Another slight variation on this method is to say that the 3-D figure is composed of the same repeated building-block, the pyramid with five triangular slant faces.

   
  
   

  On our side of the shape, there is a big 5-pointed-star looking at us, and it's composed of \(6\) of these building-block pyramids, so the 5-pointed-star contains \(30\) faces. The side facing opposite from us contains the same 5-pointed-star, simply rotated, so it provides another \(30\) faces.

  The total is \(30 + 30 = \boxed{60 \text{ faces}}.\)

• Module 3 Day 16 Your Turn Part 2

  Solution Using Euler's Polyhedral Formula

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  @the-blade-dancer It's because every edges are counted twice.