Pictures of Maths I

A 3D print of the tesseract, which is the four dimensional analogue of the cube. Sculpture by Saul Schleimer and Henry Segerman.

A 3D print of the tesseract, which is the four dimensional analogue of the cube.

Borromean rings is an arrangement of three topological circular rings which are linked in such a fashion that removing any ring results in two un-linked rings

Borromean rings is an arrangement of three topological circular rings which are linked in such a fashion that removing any ring results in two un-linked rings. The name comes from their use in the coat of arms of the aristocratic Borromeo family in Northern Italy.

penrose tilling

Penrose tiling, named after mathematician Roger Penrose, is made from a pair of shapes that tile the plane only aperiodically (when the markings are constrained to match at borders).

Projective curve in P^2

Projective curve in ℙ^2

The Brillouin zones of a square crystal lattice in two dimensions, which underlie the analysis of waves propagating through the crystal

The Brillouin zones of a square crystal lattice in two dimensions, which underlie the analysis of waves propagating through the crystal.

The loxodrome is the path taken when a compass is kept pointing in a constant direction.  If the surface is a sphere, the loxodrome is a spherical spiral.

This image represents the loxodrome of a sphere. A loxodrome is the path taken when a compass is kept pointing in a constant direction. If the surface is a sphere, the loxodrome is a spherical spiral.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s