This is us putting the eye-bolts together.

This is us strapping the Pvc pipes together.

These are some of the materials that we used  to create the drafts.

This is the final product, that is now in front of our school, with our wonderful teacher.

This is when we are working on the drafts.

These are some of our drafts.

This is when we had just finished the project before we moved it to the front of the school.

This is a look through the Omnipolyhedron.

This is when we were spray-painting the pvc pipes.

This is when our teacher was cutting the pvc pipes shorter for perfection.

These are some of the finished pvc pipes.

This us securing the pvc pipes together with the eye-bolts.

This is the pvc pipes drying from the spray paint.

This is when we where putting the final project together.

This is an example of the size of our project.

This is a larger view of the final project.

This is our whole group of honors with the final project.

This is us after we had finished the project and where taking our final picture before the summer.

The Many Sides of the “Omnipoliedro”

    The Omni-polyhedron may seem new to many Americans, but Spanish students build these models. Originally called the “Omnipoliedro”, the shape is many polyhedrons, one hiding inside of another; an Icosahedron that fits around a Dodecahedron, which fits around a Hexahedron, or Cube, which goes over a Tetrahedron (a four-sided pyramid), and finally fits around an Octahedron. Often the edges of each polyhedron are colored, each polyhedron differently so that it is easier to define between them all. 

Our mission is to make one of these, but how?

The First Steps

Before we began creating the real deal, we used tape and straws to create a miniscule version of this structure, so that we can find any issues and blocks immediately. While we were making them we realized that some of the given equations had big errors, and that we needed to refine some of the operations.

Shapes and Patterns

The root to solving the exact lengths revolved on proportionalism; the length of one shape would always have something in common with another. For example, the length of the tetrahedron edge was congruent to the hypotenuse of a hexahedron face. However, one problem would be finding how to connect the pipes together, and adding those to the equation.

Creating the Life-sized Object

Our model is made out of PVC pipes, with zip ties to bind the pipes together and we used the given equations to find the lengths of each polyhedrons’ edge, and we’ve rounded each to a tenth of a centimeter for precision.

The Eye Bolts and Caps to Our Advantage

When we were measuring how long each side for each shape had to be, we realized that the eye bolts and caps would be a problem. The two combined added an extra six centimeters total to a whole edge, so when calculating the edges we subtracted the extra six centimeters. In the end, we resulted with this:

Polyhedron	Number of Lines	Length (cm)	Total Length Needed (cm)
Tetrahedron	6	135.4	812.4
Hexahedron (Cube)	12	94	1128
Octahedron	12	64.7	776.4
Dodecahedron	30	55.8	1674
Icosahedron	30	94	2820
Total needed for construction	24	304	7296

Putting The Pieces Together

    After cutting pipes, attaching caps, and spray painting, we were ready to assemble the Omnipoliedro. Dubbed as “The Shape,” the next days were spent preparing the pipes, drilling caps, tightening eye bolts, and painting each pipe. The problem with preparing each pipe was that once we were done, there was only one day to assemble the shape altogether.

Assembling The Real Deal

    We had to strategize which shapes would be created first, or else we’ll be building shapes before others, and they won’t fit in each other. The first shape assembled was the Octahedron, because it was the smallest one in the sequence:

    The Omni-polyhedron may seem new to many Americans, but Spanish students build these models. Originally called the “Omnipoliedro”, the shape is many polyhedrons, one hiding inside of another; an Icosahedron that fits around a Dodecahedron, which fits around a Hexahedron, or Cube, which goes over a Tetrahedron (a four-sided pyramid), and finally fits around an Octahedron. Often the edges of each polyhedron are colored, each polyhedron differently so that it is easier to define between them all. In the end, it should look something like this: