Blog | The Shape of Data | Exploring the geometry behind machine learning, data mining, etc.
Blog | The Shape of Data | Exploring the geometry behind machine learning, data mining, etc..
Blog | The Shape of Data | Exploring the geometry behind machine learning, data mining, etc..
MathFoundations 18: Geometry – YouTube.
How to begin geometry? What is the correct framework? How to define point, line, circle etc etc?
These are some of the issues we will be addressing in this first look at the logical foundations of geometry.
This lecture is part of the MathFoundations series, which tries to lay out proper foundations for mathematics, and will not shy away from discussing the serious logical difficulties entwined in modern pure mathematics. The full playlist is athttp://www.youtube.com/playlist?list=…
Platonic Solid — from Wolfram MathWorld.
The Platonic solids, also called the regular solids or regular polyhedra, are convex polyhedra with equivalent faces composed of congruent convexregular polygons. There are exactly five such solids (Steinhaus 1999, pp. 252-256): the cube, dodecahedron, icosahedron, octahedron, and tetrahedron, as was proved by Euclid in the last proposition of the Elements. The Platonic solids are sometimes also called “cosmic figures” (Cromwell 1997), although this term is sometimes used to refer collectively to both the Platonic solids and Kepler-Poinsot solids (Coxeter 1973).