Solid GeometryPlatonic solidsالمجسمات الأفلاطونية :
Solid GeometryPlatonic solidsالمجسمات الأفلاطونية Profile: Plato ( 427- 347 B.C.E. ) was born to an aristocratic family in Athens. As a young man Plato had political ambitions, but he became disillusioned by the political leadership in Athens. He eventually became a disciple of Socrates, accepting his basic philosophy and dialectical style of debate, the pursuit of truth through questions, answers, and additional questions. Plato witnessed the death of Socrates at the hands of the Athenian democracy in 399 BC. In Raphael's School of Athens we see Socrates prone, with cup nearby.
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There are only 5 Platonic solids. Platonic solids All the faces are congruent (same shape and same size). All the edges are equal in length. All the angles are equal in measure. A regular polygon has all its sides equal in length. The faces of a platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex. The name of each solid is derived from the number of its faces.
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Faces are all equilateral triangles 4 vertices 6 edges 4 faces Tetrahedron
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Faces are all squares 8 vertices 12 edges 6 faces Hexahedron
(cube)
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Faces are all equilateral triangles 6 vertices 12 edges 8 faces Octahedron
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Faces are all pentagons 30 edges 20 vertices 12 faces Dodecahedron
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30 edges Faces are all equilateral triangles 12 vertices 20 faces Icosahedron
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solid vertices Faces Edges Name Hexahedron 8 6 12 Octahedron 6 8 12 Dodecahedron 20 12 30 Tetrahedron 4 4 6
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Homework :
Questions book:
Exercises(7, 8, and 9)
Page 83
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Thank you for listening Prepared by
The math team