Friday, June 3, 2011

Toothpick Tetrahedron

From Wikipedia:
In geometry, a tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. A regular tetrahedron is one in which the four triangles are regular, or "equilateral", and is one of the Platonic solids. The tetrahedron is the only convex polyhedron that has four faces.

The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex.
The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a triangular pyramid.
Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two nets.




Materials
  1. Toothpicks (6 toothpicks per single tetrahedra)
  2. Tacky glue
  3. Newspaper or plates (to put underneath)

Vocabulary

  1. Tetrahedra
  2. Edges
  3. Face
  4. Verticies
  5. Triangle
  6. Angles
  7. Acute



Instructions For Toothpick Tetrahedra


1. Gather materials

2. lay out all six toothpicks

3. glue three toothpicks together to create a triangle
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4. glue on two more toothpicks to the triangle to create a diamond with a toothpick in the middle

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5. glue on a toothpick to one of the ends of the diamond

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6. Glue the same toothpick to the opposite end

7. Let dry for 5-10 minutes

8. Your tetrahedra is complete!
occasionally if you put on too much glue, you cannot complete steps 4-6 with out letting the previous step dry first. Thank you!

Here's a link with pictures:
http://tag5berry.wikispaces.com/Toothpick+Tetrahedra

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