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Gatorade Bottle Project: From Octahedron to Cube/Hexahedron or Vice Versa, Platonic Duals

3D model description

### #Gatorade Bottle Project: From Octahedron to Cube/Hexahedron or Vice Versa, Platonic Duals

The Platonic octahedron is the dual of the cube (also known as hexahedron). The other way around, the cube is the dual of the octahedron. The key idea is that each face of one solid becomes a vertex of the other. That is why, in either case, we need 12 rubber bands. With a bit of imagination, the cube and the octahedron alternate going on forever.

### #Starting with the Octahedron, Build a Big Cube
1. Eight (8) bottles and 8 bottom adapters
2. Twelve (12) rubber bands.

### #Starting with the cube, Build a Big Octahedron
1. Six (6) Bottles and 6 bottom adapters
2. Twelve (12) rubber bands.

### #References
1. https://en.wikipedia.org/wiki/Platonic_solid
2. http://demonstrations.wolfram.com/DualsOfPlatonicSolids/

  • 3D model format: STL

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Creator

STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides: http://www.nsta.org/safety/.

LGBU Contact: LGBU@SIU.EDU

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