#57: Polyhedron

An icosahedron is a polyhedron that has twenty triangular faces.  A stellated icosahedron has each of those faces raised to a triangular pyramid. Wow!  There’s a lot of big words in that sentence!

Spark your math thinking!

  1. Set up your math mini spark recording page: #57: Polyhedron
  2. Find out more about polyhedrons.
  3. Make a Modular Origami Stellated Icosahedron by following these written directions: http://www.wikihow.com/Make-a-Modular-Origami-Stellated-Icosahedron  or use this video tutorial.  Be patient. It takes practice to make a shape this complex.  Take a picture of your project.
  4. Find instructions for math other polyhedron. Take a picture of your project. Here is a site to try.
  5. Respond to this prompt: How is origami related to math?
  6. Find instructions to make an origami animal using the WWF Together app on your iPad.
  7. Share your math mini spark recording page with your teacher/EY coordinator.


26 thoughts on “#57: Polyhedron

  1. There are 5 regular polyhedron which are also called Platonic Solids. I watched a BrainPop video and they called them “Dice of the Gods” in the video. I explored some other polyhedron and thought the names were weird like Trapezoidal Icositetrahedron and Rhombic Triacontahedron. You can find animated models by going here: Math is Fun

    1. It surprised me that not all polyhedrons follow the basic formula, like I was taught in Pre-algebra. Also, the torus is sort of like a ring without edges at all. How could someone discover the Mobius strip? Probably someone named Mobius. The Cubohemioctahedron is quite confusing. Tongue twister, huh? Technically, it is a polyhedron because the definition says “…that is usually joined at the edges.” I may look into that later.

  2. Thanks for the hard work you do! My class will start doing these math minutes next week. These shapes are great ways to combine math and art.

  3. A polyhedron is a shape with flat surfaces. Polyhedron is from Greek roots with a very straight forward name. It could be anything from a cube to dodecahedron. A dodecahedron has many sides. Others may be more exotic with how many faces it has.

  4. I learned that in Polyhedrons, there are no curved faces. There are points only, no curves what-so-ever.

  5. Is it really true that all solid figures follows the simple equation: Faces + Vertices – Edges= 2? I’ve heard of non-Euclidean geometry, do those rules still hold up then‽

    1. That’s a good question Matthew! I bet if you do a little research, you’ll find the answer to your question. Can you provide an example of that equation?

    1. Hi Caleb-There is a difference between polygons and polyhedron…polygons are 2-Dimensional and polyhedron are 3-Dimensional.

  6. I never knew that cubes were polyhedra! It’s very cool to know that polyhedrons make up so many objects in our everyday geometric society. Just think that 100s of years ago, mathematicians developed polyhedra! Who even thought of such a word? I really wish to know more about these great geometric shapes.

  7. Polyhedron do NOT have any curved parts in any way.
    And faces plus vertices minus edges equals two, but in some cases they only equal one.
    And there are hundreds of polyhedrons in many ways like pyramids and more.

  8. The faces, vertices, and edges are needed to make polyhedron. The vertices are corners, the edges are all the lines used, and the faces are the flat surfaces. That’s how it’s related to math.

  9. I learned that a polyhedron is Greek for many faces and the formula: The number of faces plus the number of vertices
    minus the number of edges equals 2.

  10. I learned that polyhedron is Greek for many faces and the formula: The number of faces plus the number of vertices
    minus the number of edges equals 2.

  11. I learned so much about all the polyhedron and now know there are so many different polyhedrons, like the dodecahedron has twelve faces.

  12. I learned that a polyhedron consists of three dimensional solids connected at the edges and that it is from the greek works poly many and the European hedron or seat

  13. I learned that polyhedrons are 3-D shapes with flat sides. There are 5 normal, or basic polyhedrons which are called Platonic Solids. Polyhedrons are difficult and are not easy to understand considering I’m only 10, but I managed to follow along and learned a few new things.

  14. I didn’t know there was such a confusing shape that existed, and if I did I would’ve never thought it could be made with paper!

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