In higher level mathematics, numbers are largely forgotten and focus is placed upon shape, shape, planes, intersections – the manipulations of and speculations upon the physical / perceived nature of things. 610 more words
Tags » Knot Theory
"A child[’s]…first geometrical discoveries are topological…If you ask him to copy a square or a triangle, he draws a closed circle"*...
Topology is the Silly Putty of mathematics. Indeed, sometimes, topology is called “rubber-sheet geometry” because topologists study the properties of shapes that don’t change when an object is stretched or distorted. 331 more words
This movie introduces cube knots—a new way to represent knots in 3-dimensional space. Cube knots are special because there are two Reidemeister-like moves that take any cube diagram representation of a knot to any other cube diagram representation of that knot. 83 more words