Polyhedra. A polyhedra is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges.

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Presentation transcript:

Polyhedra

A polyhedra is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges.

Polygon vs Polyhedra The words are derived from the Greek word poly (many) and gon (side) or hedra (face). A polyhedra is a 3-D shape with many faces. A polygon is a 2-D shape with many sides.

Polyhedra Polygon Face Tetrahedra Hexahedra Octahedra Dodecahedra Icosahedra

Tetrahedra A tetrahedron is a 3-D figure made up of four equilateral triangles.

Tetrahedra Net A net is a the two-dimensional pattern.

Polyhedra faces edgesvertices tetrahedron hexahedron octahedron dodecahedron Icosahedron

Hexahedra A Hexahedron is a 3-D figure made up of six identical squares.

Hexagedra Net A net is a the two-dimensional pattern.

Polyhedra faces edgesvertices tetrahedron464 hexahedron octahedron dodecahedron Icosahedron

Hexagedra Net There are many different nets for a hexahedron or cube. Look at the nets below, which one will make a cube or hexhedra?

Octahedra A Octahedron is a 3-D figure made up of eight equilateral triangles.

Hexagedra Net A net is a the two-dimensional pattern.

Polyhedra faces edgesvertices tetrahedron464 hexahedron6128 octahedron dodecahedron Icosahedron

Dodecahedra A Dodeachedron is a 3-D figure made up of twelve equilateral pentagons.

Dodecahedra Net A net is a the two-dimensional pattern.

Polyhedra faces edgesvertices tetrahedron464 hexahedron6128 octahedron8126 dodecahedron Icosahedron

Icosacahedra A Icosahedron is a 3-D figure made up of twenty equilateral triangles.

Icosacahedra Net A net is a the two-dimensional pattern.

Polyhedra faces edgesvertices tetrahedron464 hexahedron6128 octahedron8126 dodecahedron Icosahedron

Polyhedra faces edgesvertices tetrahedron464 hexahedron6128 octahedron8126 dodecahedron Icosahedron