Symmetry
Subgroups and Lagrange’s Theorem
The nature of subsymmetries
Group Theory
Group Theory
Group Theory
The nature of symmetry and the symmetry of nature
Symmetry
The Many Symmetries of Tessellations ft. Harry’s Tiles
Tessellations
Euler
From Derangement To Euler’s Number
How e can rise from combinatorics
Fractal
Fractal Geometry
From Gaston Julia to Benoit Mandelbrot
Group Theory
The Power of Invariants
We can find invariants in many branches of mathematics. Let us try to use the theory of invariants to solve a few popular brainteasers.
Group Theory
Noether’s Theorem: How Symmetry Shapes Physics
Conservation laws form the basis of theoretical physics. In 1915, Emmy Noether found their origin in the symmetries of the universe.
Algebra
All About Root Systems
A visual introduction
Group Theory
The Rubik’s Icosahedron and the Mathieu Group M12
Modeling this construction using GAP
Mathematics
How to solve the Rubik’s Cube
Learn how to solve the “impossible puzzle” in eight simple steps
Mathematics
Introduction to Group Theory
An introduction to abstract algebra with no prerequisites, and a computer science application.