Hilbert’s program

Never forget that even the most solid buildings of thought are supported by sand only … In mathematics, Hilbert’s program, formulated by German mathematician David Hilbert, was a proposed solution to the foundational crisis of mathematics, when early...

Fractal Technology

There is something very stimulating about fractals … visible limits . http://www.miqel.com/fractals_math_patterns/fractal_technology_historical.html
Patterns in the Fibonacci Numbers

Patterns in the Fibonacci Numbers

Here are some patterns people have already noticed in the final digits of the Fibonacci numbers: Look at the final digit in each Fibonacci number – the units digit: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, … Is there a pattern in...
Why 12 notes to the Octave?

Why 12 notes to the Octave?

Here is the beginning of an exhausting explanation … The Greeks realized that sounds which have frequencies in rational proportion are perceived as harmonius. For example, a doubling of frequency gives an octave. A tripling of frequency gives a perfect fifth one...
Voronoi Tessellation

Voronoi Tessellation

In mathematics, a Voronoi diagram is a way of dividing space into a number of regions. A set of points (called seeds, sites, or generators) is specified beforehand and for each seed there will be a corresponding region consisting of all points closer to that seed than...
John Venn and the Diagrams

John Venn and the Diagrams

Venn diagrams were introduced in 1880 by John Venn (1834–1923) in a paper entitled On the Diagrammatic and Mechanical Representation of Propositions and Reasonings in the “Philosophical Magazine and Journal of Science”, about the different ways to...