Pentagram and the human body

Pentagram and the human body

Henry Cornelius Agrippa produced this pentagram in his 16th century Three Books of Occult Philosophy. It displays humanity as microcosm, reflecting the influences of the wider macrocosm as indicated by the seven planetary symbols.

Golden spiral

The Golden Spiral

In geometry, a golden spiral is a logarithmic spiral whose growth factor is phi, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.

Rhombic triacontahedron

The Rhombic Triacontahedron

The rhombic triacontahedron is a convex polytope that has a very special property: all of its faces are golden rhombi.

Fibonacci spiral

The Fibonacci Spiral

An approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling.

Mathematical pyramids and triangles

Mathematical pyramids and triangles

A pyramid in which the apothem (slant height along the bisector of a face) is equal to φ times the semi-base (half the base width) is sometimes called a golden pyramid.