POLYGONS & POLYHEDRA

By Jenna Lin

WHAT IS A POLYGON?

•POLY MEANS MANY•GON MEANS ANGLE

THESE ARE POLYGONS

THESE ARE NOT POLYGONS

POLYGONS

• 2-D Closed Shape• Made of Line Segments• No curves• Line Segments Only

Intersect at the Endpoints

REGULAR POLYGONS

• All line segments are congruent

• All angles are congruent. Regular Polygons

Not Regular Polygons

Names of Polygons # sides # of angles Name of polygon

3 3 triangle or trigon4 4 quadrilateral or

tetragon 5 5 pentagon6 6 hexagon7 7 heptagon8 8 octagon9 9 nonagon or enneagon10 10 decagon11 11 hendecagon12 12 dodecagon

WHAT IS A POLYHEDRON?

POLYHEDRON

A 3-D SHAPE MADE OF POLYGONS

edgeface

vertex

PLATONIC SOLIDSor

regular polyhedra

Polyhedra where all of the faces are

congruent; they are each made of

congruent, regular polygons.

5 PLATONIC SOLIDS

regular tetrahedron

regular octahedron

regular dodecahedron

regular icosahedron

regular hexahedron (cube)

ARCHIMEDIAN SOLIDS

or semi-regular polyhedra

Polyhedra which are

made of more than one type of congruent,

regular polygons.

A FEW OF THE

13 ARCHIMEDIAN SOLIDS

Truncated Icosahedron aka

Buckyball or Soccer Ball

Truncated Cube

Truncated Octahedron

Cuboctahedron