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Polyhedron Models By students of Dean Zeller Pre-Algebra, Algebra, Geometry Kansas City Missouri School District CS1101 Art Institute of Jacksonville.

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Presentation on theme: "Polyhedron Models By students of Dean Zeller Pre-Algebra, Algebra, Geometry Kansas City Missouri School District CS1101 Art Institute of Jacksonville."— Presentation transcript:

1 Polyhedron Models By students of Dean Zeller Pre-Algebra, Algebra, Geometry Kansas City Missouri School District CS1101 Art Institute of Jacksonville

2 A cube is a polyhedron consisting of six squares.

3 A tetrahedron is a polyhedron consisting of four regular triangles.

4 An octahedron is a polyhedron consisting of eight regular triangles.

5 A prism is formed by connecting two identical polygons with squares all around.

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7 An antiprism is formed by connecting two identical polygons with interlocking triangles all around.

8 A dodecahedron is a three-dimensional figure with twelve (12) regular polygons for faces.

9 A cuboctahedron is a three-dimensional figure with six (6) squares connecting with eight (8) equilateral triangles.

10 A truncated cube is a three-dimensional figure with six (6) octagons connected with eight (8) equilateral triangles.

11 A icosadodecahedron is a three-dimensional figure with twelve (12) pentagons connected with twenty (20) equilateral triangles.

12 A small rhombicuboctahedron is a three-dimensional figure with eighteen (18) squares connected with eight (8) equilateral triangles.

13 A great rhombicubctahedron is a three-dimensional figure with six (6) octagons and eight (8) hexagons connected with twelve (12) squares.

14 A truncated tetrahedron is a three-dimensional figure with four (4) hexagons connected with four (4) equilateral triangles.

15 A truncated octahedron is a three-dimensional figure with eight (8) hexagons connected with six (6) squares.

16 Polyhedron Models High School Mathematics Students from the Kansas City Missouri School District

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46 Polyhedron Models by Graphic Design Students from the Art Institute of Jacksonville

47 Polyhedrons Created for Dean Zeller’s CS1101 class Carlos AguirreBacon and Eggs (irregular octahedron) AJ ChlopekTime Flies (pentagonal deltohedron) Quackers (square antiprism) Star Fish (pentagramic prism) Melissa MillerArrows (cube) Purple Swiss Cheese (tetrahedron) Stars and Diamonds (octahedron) Tiffany Powers(Great Dodecahedron) Patrick SeldonCubic Shape (cube with cube removed) Keystonehedron (original design) Stephania Manunga(topological small triambic icosahedron) Josh Van ZantBacon (greater rhombicuboctahedron)

48 Bacon and Eggs Irregular Octahedron By Carlos Aguirre

49 Silly shapes By AJ Chlopek

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51 This is a Pentagonal Deltohedron it has 31 vertices and 22 edges. When you put this together it looks like a sun setting. You could twist it the other way and it would look like it was rising. Time flies

52 This shape is called a square antiprism it has 16 vertices and 8 edges. When this one is put together it looks like a ducks head. Quackers

53 This Pentagramic Prism has 20 verticals and 30 edges. This one is funny because its shaped like a star and it has fish all over it giving it the name, “star fish!” Star Fish

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58 Polyhedron Models created by Melissa Miller

59 Cube

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61 Tetrahedron

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63 Octahedron

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65 Great Dodecahedron by Tiffany Powers

66 Paper Model of Cubic Shape Cubic Shape 1: Number of faces: 9 Number of edges: 21 Number of vertices: 14 By Patrick Seldon

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69 Keystonehedron By Patrick Carmichael Selden Sr

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71 TOPOLOGICAL SMALL TRIAMBIC ICOSOHEDRON, by Stephania Manunga: Dual of the small ditrigonal icosidodecahedron, and a stellation of the icosohedron. This is a stylized version of the polyhedron. The idea is that only true edges of the polyhedron should connect. The false edges that normally appear in a model where faces intersect but don't share an edge have been removed by hiding parts of each face, allowing the faces to pass through each other without collision. I call this a topological model, as it highlights the true topology of the polyhedron. This lets you better see the internal structure of the polyhedron.

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