Doodling maths: Visualising prime numbers

Doodling maths: Visualising prime numbers

Prime numbers are a cryptographer's dream: It's easy to take two very large prime numbers and multiply them, but it's extremely hard to do the opposite. There is no fast algorithm (yet) to factorize an integer into its prime factors, if you try to factor a large prime number you'll have to try every possible number between 2 ...
Oblate spheroid

Smarties and the shape of the earth

The sphere is, according to Wikipedia, a reasonably correct model for earth. But mathematically the earth is  an oblate spheroid. An example of that would be smarties and M&Ms, spheres squished at the poles. As a result of gravitation and the rotation of earth, it is about 21 km longer than the Earth’s polar radius. This is, of course, ...
The gorgeous polyhedra sculptures of George Hart

The gorgeous polyhedra sculptures of George Hart

George Hart is a professor in engineering and a freelance mathematical sculptor, designer and artist. With the basis in mathematics, he creates stunning sculptures in a variety of materials and sizes, in principle, based on basic polyhedra. But his sculptures are anything but basic. The fact that this shape .... can turn into this, delights ...
dodecahedron

Platos sacred geometry

Plato's sacred geometry: In  Euclidean geometry there are five Platonic solids. Each of them was associated with an element, and since there are five, one of these shapes were considered sacred by the old Greeks, and to know the shape, and to share that knowledge was punishable. Platonic solids have clear definitions, to quote Wikipedia: ...