The Icosahedron

The Icosahedron at a Glance

Imaging the Icosahedron:

(IMAGE REMOVED) small, basic animation (poorer quality, shorter download)

(IMAGE REMOVED) larger, more complex animation (higher quality, longer download)

ancient celtic model of the icosahedron, carved in stone

an artist’s conceptualization of the icosahedron

net, or pattern, that can be used to create a icosahedron from cardstock

Proportions within the Icosahedron

Proportions relative to edge length (if edge length equals one)

Proportions relative to insphere (if insphere radius equals one)

Edge Length

Intersphere

Circumsphere

Surface Area

1.323169076

1.070466269

1.258408572

1 divided by

(phi divided by the square root

of 3)

Proportions relative to intersphere (if intersphere radius equals one)

Edge Length

Insphere

Circumsphere

Surface Area

1.236067978

0.934172359

1.175570505

1 divided by

(phi divided by 2)

phi divided by the

square root of 3

Proportions relative to circumsphere

(if circumsphere radius equals one)

Special thanks to
Bruce Rawles for supplying the above listed proportional figures.