1. Power of polygons with zometool
By Justin Robertson and Brayden deBruin

2. What we had to do
Learned about the Zome kit, tried building a few simple shapes and took pictures of them.
Learned about polygons and built several models of them while taking pictures of them.
Built Platonic Solids and took pictures of them and researched the history, importance, and specialization of them.
Built 3 of the Archimedean solids and took pictures of them.
Built four models from the Extend yourself booklet Learned about Zomeart.
Put this engagement all into a killer powerpoint.

3. What We Did With Simple Polygons
We built two simple polygons which were a square and a triangle.
We took pictures of the polygons and put them on our powerpoint.

4. Convex and Concave Polygons
Convex polygons all have internal angles that are less than 180 degrees. They do not have any “bites” in the polygon.
Concave polygons all have internal angles that are greater than 180 degrees. They have “bites” in the polygon.
This polygon is convex because it does not have a bite in it.
This polygon is concave because it has a bite in it.

5. Equiangular and Equilateral Polygons
Equiangular polygons have angles that are all the same. They can be different lengths and are parallel.
Equilateral polygons have the same length in all sides and can have different angles.
This polygon is equiangular because it has the same angle on each side.
This square is equilateral because each side is the same length.

6. Regular Polygons
Regular polygons are both equilateral and equiangular such as the square and triangle.

7. Building Concave and Convex Polygons
We found it hard to make concave and convex models because there was no instruction manual.
We had a great time building these models and wish we could build more.

8. Building Equiangular and Equilateral Polygons
These polygons are both equilateral
We had a great time making these polygons because we experienced with so many varieties of shapes.
The triangle is an equiangular polygon
This cube we made is also an equiangular polygon

9. Building Regular Polygons
Regular polygons are easier to make because we knew how to make them and knew what they were.
We also had a great time building these things.
The four main regular polygons are the triangle, square, pentagon, and hexagon.

10. The Five Main Platonic Solids
We built five Platonic Solids and had a fun time.
One platonic solid we made was the Cube made out of three squares.
We also made the Tetrahedron out of three triangles.
We made the Octaherdon out of four triangles.
Another Solid was Icosahedron made out five triangles.
The last Platonic Solid was the Dodecahedron and made out of three pentagons.
Platonic Solids are three dimensional shapes that are made up of the same type of polygon.
Dodecahedron
Icosahedron
Tetrahedron
Cube
Octaherdon

11. History, Importance and Specialization of the Platonic Solids
Pythagereous, an ancient mathematician had named or identified some of the Platonic Solids.
Another mathematician, Theaetus identified the last type about 150 years later. He also concluded that there were only five Platonic Solids.
The importance of the Platonic Solids is that they represent the Elements, water, fire, earth, wind and the universe. They also are important because they are made of the same polygon type put together.

12. Archimedean Solids
Archimedean Solids are all made out of different types of polygons.
Unlike Platonic Solids, Archimedean Solids do not represent an element or other force.
The soccer ball used today is a type of Archimedean Solid.

13. Clear Summarization Video about Zometool
Zometool video

14. What We Learned
We learned more about the five polygons, equiangular, equilateral, regular, concave and convex.
We learned about Platonic and Archimedean Solids
We also learned how to make a sandwich slide and what to put in it.
We also learned that you can’t make a mistake in Zometool

15. Resources Engagement rubric w/o research Engagement rubric w/ research
Intro to zometool powerpoint
Google.com/images/Archimedean solids
Google.com/images/Platonic Solids

16. Thanks for Watching!!!!!