Figures in 3 Dimensions

1. Figures in 3 Dimensions

3. Platonic Solids 20 equilateral triangles

4. Other Polyhedrons Octagonal prism Square antiprism Dodecahedron (regular) Cuboctahedron Stellated dodecahedron Isosidodecahedron (quasiregular) Elongated pentagonal cupola

5. Definitions • 2-D figure • Closed • All lines are straight Polygon Polyhedron • 3-D figure • Closed • All faces are flat with straight edges

6. Classification • How many faces does it have? • How many vertices does it have? • How many edges does each face have? (Can there be more than one type of polygon for a face?) • Are there any concavity? • Does it create a recognizable shape?

7. Classification

8. Classification Requirements for your classification: 1. Classify at least sixteen different 3-D shapes 2. For each one, include its the name and a best-effort drawing 3. Include at least 4 levels of classification (vertical) Animals Mammals Reptiles Insects Land Aquatic Classification not complete!!! Dog Cat Whale

9. Classification Requirements for your classification (continued): 4. Include at least 6 different categories (horizontal) 5. For each category, also write the criteria that a shape must meet to fit that category Animals Mammals: Fur, warm-blooded Reptiles: No fur, cold-blooded Insects: Six legs, exoskeleton Rodents: Use teeth to gnaw, wide field of vision Carnivores: Large, predators, eat other animals Aquatic: Live underwater, feed on plankton and/or fish

10. Classification Requirements for your classification: Classify at least sixteen different 3-D shapes For each one, include its the name and a best-effort drawing Include at least 4 levels of classification (vertical) Include at least 6 different categories (horizontal) For each category, also write the criteria that a shape must meet to fit that category

11. Drawing Cube Sphere