# Temple to Infinity

Mathematics, fractals, architecture

Credits: Year 4 MArch project in DS10; Tutors: Toby Burgess and Arthur Mamou-Mani

Homer’s work hits again and again on the topos of the inexpressible. People will always do that. We have always been fascinated by infinite space, by the endless stars and by galaxies upon galaxies. How does a person feel when looking at the sky? He thinks that he doesn't have enough tongues to describe what he sees. Nevertheless, people have never stopped describing the sky, simply listing what they see. Umberto Eco

May 2013

J(z) = z^2 + c

c = -0.8 - 0.2i

A Julia set of a quadratic polynomial; In a Julia set, an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values.

c = -0.8 - 0.2i

A Julia set of a quadratic polynomial; In a Julia set, an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values.

The Burning Ship fractal, originally described by Michael Michelitsch and Otto E. RÃ¶ssler in 1992. It is based on the Mandelbrot set, the difference being that the real and imaginary components are set to their respective absolute values before squaring at each iteration.

A quaternion Julia set of the Burning Ship - a 4D hypercomplex equivalent of the 2D fractal based on complex numbers.

An exploration of a 3d Julia set of the Burning Ship based on polar coordinates.

A wide-angle perspective inside the 3D Burning Ship set.

Temple to infinity.

Temple Pillars.

The Infinity Altar

A voxelization of the mathematical set.

Joint model of the mathematical set and a 3d grid of boxes.

Intersection of the mathematical set and a 3d grid of boxes.

Elevation of the Tower

3d print of the Temple

Section through the voxelized temple.

Internal view of the voxelized Temple.