Escher Sphere Construction Kit. Jane Yen Carlo S é quin UC Berkeley I3D 2001. [1] M.C. Escher, His Life and Complete Graphic Work. Introduction. M.C. Escher graphic artist & print maker myriad of famous planar tilings why so few 3D designs?. [2] M.C. Escher: Visions of Symmetry.

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Platonic solid. truncated tetrahedron. cuboctahedron. truncated cube. truncated octahedron. truncated cuboctahedron. truncated cuboctahedron. snub cube. icosidodecahedron. truncated dodecahedron. truncated icosahedron or buckyball or football /soccer ball. rhombicosidodecahedron.

Euclidean Geometry a Solid Geometry and Platonic Solids. sphere. cone. cylinder. Tetrahedron. Octahedron. Icosahedron. Hexahedron or Cube. Dodecahedron. Triangular Pyramid. Square Pyramid. Triangular Prism. Square Prism or Cuboid.

Platonic Solids. Regular Polyhedra. Platonic Solids. http://www.youtube.com/watch?v=C36h00d7xGs What are Platonic Solids? A Platonic Solid is a 3D shape where: 1. Each face is the same regular polygon 2. The same number of polygons meet at each vertex. Pythagoras & Plato.

Platonic Solids. MATH 420 Presentation: Kelly Burgess. What are they?. Convex Polyhedron (polyhedron: 3d solid with straight edges and flat faces) All faces are congruent Same number of faces meet at each vertex Named after Greek philosopher Plato who associated each with a basic "element"

Platonic Solids. Plato (427 BC – 347 BC). Greek philosepher 387 BC based a school in Athina Died 80 years old. Archeological discovery from Scotland 2000BC. Platonic Solids in the antic. Johannes Kepler (27.12.1571 Weil der Stadt – 15.11.1630 Regensburg).

Platonic Solids. Mrs. King. Image from: http://www.learner.org/interactives/geometry/platonic.html. What is a Platonic Solid?. A regular, convex polyhedron . A polyhedron is a 3D geometric solid with flat faces and straight edges.

“Platonic Ideal”. Scala Naturae : Great Chain of Being. Implications of the Great Chain of Being. Since God is perfect, his creation must be perfect A gradation must exist from inanimate objects through higher forms, complete with no gaps No gaps in the chain: no extinction, no new forms.

Platonic Solids. -Describe these objects-. What are some things that you notice? Have you ever seen anything like these? Where? What do they remind you of? How would you describe these objects? How can we describe these using geometric terms?. Hmmmm …. What do you think now?.