And it nearly took over our Math Class!!
It all started innocently enough.
Polygons.
I mean, what is not to like about scalene triangles, trapezoids , or that "drunken square," the rhombus (other than having to spell them correctly)?
It would have been simple enough to stick with two dimensions. But, no. It's nearly the end of the year. And, everyone else in the building is doing nothing much. But us? We end up with a pile of toothpicks, a pile of mini-marshmallows, a computer program, and a progressive 3-d building challenge.
"Can you build this without eating all your VERTICES?" she wanted to know.
Tetrahedron by Hoksina |
We started small... the 3 d polyhedron with the fewest vertices was the tetrahedron. We proved this, because if you took any vertex away, we ended up with a plane old polygon, a triangle, which everyone knows is 2 d. (And yes, plane is a pun.)
Cube by Jaden: 6 faces, 8 vertices, 12 edges |
Nyton bravely attempts a dodecahedron. |
Before we knew it, we had ventured down the dangerous path towards octahedrons, icosahedrons, and, yes, the infamous dodecahedron, with its 12 faces (each being a pentagon, by the way!), 20 vertices and 30 edges.
That's a lotta marshmallows!
Tune in tomorrow (or Monday, depending on attendance) to find out!