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Exploring Polyhedra: Characteristics and Examples of Cuboctahedron and Dodecahedron

This project investigates various polyhedra, focusing on the cuboctahedron and dodecahedron. The cuboctahedron features 14 faces, including 12 square and 8 hexagonal faces, alongside 12 vertices and 24 edges. It can be found in sculptures and architecture. In contrast, the dodecahedron consists of 12 pentagonal faces, 20 vertices, and 30 edges. This presentation also highlights other polyhedra such as the truncated octahedron and icosahedron. Each shape's geometric properties are explored to understand their unique structures better.

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Exploring Polyhedra: Characteristics and Examples of Cuboctahedron and Dodecahedron

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Presentation Transcript

  1. Math Survey8th Period 2008 Polyhedra Project

  2. Cuboctahedron By Spencer Price

  3. Faces, Vertices, and Edges • The cuboctahedron has • 14 faces • 12 vertices • 24 edges

  4. Can be seen in sculptures and architecture

  5. Cuboctahedron By Ben Saari

  6. Information • Faces - 14 • Edges - 24 • Vertices 12

  7. Summary • Today I showed you what a Cuboctahedron is and how many vertices, edges and faces it has

  8. truncated cuboctahedron • This is the shape I made it took a long time.

  9. Description 12 Square Faces 8 Hexagonal Faces 6 Octagonal Faces 48 Vertices 72 Edges

  10. Dodecahedron By: Breanna Schwark

  11. Information • Faces: 12 • Vertices: 38 • Edges: 38 • Shapes: pentagon

  12. Dodecahedron by Bobby Taylor The SUPERIST Awesome shape there is! ITS BETTER THAN YOURS!!!!

  13. The Details • Faces=12 • Verticles=38 • Edges=38 • The shape is… ---------------------------- == A PENTAGON!!!!!!!

  14. Heather Hull Name: Icosahedron Number of Faces:      20Number of Edges:      30Made of Triangles. Number of Vertices:   12

  15. Compound Two different Asymmetric Square Pyramids By: Pam Baker

  16. Compound Two different Asymmetric Square Pyramids • Faces: 18 • Verticies:17 • Edges:10

  17. Dodecahedron By: Alana Clark

  18. Faces, Edges, Vertices, Shapes of the Polyhedron Faces: 12 Edges: 60 Vertices: 60 Shapes: Octagon, and some small triangles

  19. Rhombicuboctahedron By: Karisa Fietz

  20. Rhombicuboctahedrom • Faces: 26 • Vertices: 24 • Edges: 24 • Shapes: triangle, and Square

  21. Rhombicuboctahedron Austin Arndt

  22. Rhombicuoctahedron Info • Faces=26 • Edges=48 • Vertices=24 • Shapes= Squares and Triangles Nation Library of Belarus

  23. Snub Cuboctahedron Poly By: KyLe MeYeR

  24. Vertices- 61 • Edges- 26 • Faces- 36 Information

  25. Real Snub Coboctahedron Quartz >>>>>

  26. Truncated Icosidodecahedron By Jason Hemp

  27. Truncated Icosidodecahedron • The truncated Icosidodecahedron has 12 vertices and 12 new pentagon faces also 20 triangle faces as regular hexagons.

  28. truncated octahedron By: Kim Cole

  29. The name is truncated octahedron The number of vertices is 16 The number of face is 15 The number of edges is 36 Now you know how many vertices, face, and edges The info

  30. Truncated Octahedron By Monica

  31. Truncated Octahedron • Faces-14 • Vertices-36 • Edges-48

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