Polyhedra Mikhаilichenko Yelena-Maths teacher

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Presentation transcript:

Polyhedra Mikhаilichenko Yelena-Maths teacher Tsoy Svetlana- English teacher

Polyhedron is a geometric body which consists of a finite number of intersecting planes

Prism is a polyhedron consisting of two parallel polygons, basing on finite numbers of rectangles which form a side surface. V=SH

Pyramid is a geometric body which consists of some triangles with common vertex and the base. V=1/3 SH

Cube is a prism with equal faces. V= a³ ,where a is an edge.

Regular Polyhedra

Non of the geometric body does not possess such beauty as regular polyhedra. There are 5 types of polyhedra: tetrahedron, cube, octahedron, dodehedron and icosahedron.

The Euler characteristic The number of faces F The number of vertices V The number of edges E Regular polyhedron F+V-E=24 4 6 tetrahedron 2 8 12 cube octahedron 20 30 dodecahedron icosahedron

Regular Polyhedra in nature