Platonic Solids Quotes
Quotes tagged as "platonic-solids"
Showing 1-2 of 2
“Kepler followed Proclus and believed that 'the main goal of Euclid was to build a geometric theory of the so-called Platonic solids.' Kepler was fascinated by Proclus and often quotes him calling him a 'Pythagorean'. [History of Mathematics]”
―
―
“In Euclid's Elements we meet the concept which later plays a significant role in the development of science. The concept is called the "division of a line in extreme and mean ratio" (DEMR). ...the concept occurs in two forms. The first is formulated in Proposition 11 of Book II. ...why did Euclid introduce different forms... which we can find in Books II, VI and XIII? ...Only three types of regular polygons can be faces of the Platonic solids: the equilateral triangle... the square... and the regular pentagon. In order to construct the Platonic solids... we must build the two-dimensional faces... It is for this purpose that Euclid introduced the golden ratio... (Proposition II.11)... By using the "golden" isosceles triangle...we can construct the regular pentagon... Then only one step remains to construct the dodecahedron... which for Plato is one of the most important regular polyhedra symbolizing the universal harmony in his cosmology.”
― "GOLDEN" NON-EUCLIDEAN GEOMETRY, THE: HILBERT'S FOURTH PROBLEM, "GOLDEN" DYNAMICAL SYSTEMS, AND THE FINE-STRUCTURE CONSTANT
― "GOLDEN" NON-EUCLIDEAN GEOMETRY, THE: HILBERT'S FOURTH PROBLEM, "GOLDEN" DYNAMICAL SYSTEMS, AND THE FINE-STRUCTURE CONSTANT
All Quotes
|
My Quotes
|
Add A Quote
Browse By Tag
- Love Quotes 97.5k
- Life Quotes 76k
- Inspirational Quotes 72.5k
- Humor Quotes 43.5k
- Philosophy Quotes 29.5k
- Inspirational Quotes Quotes 27k
- God Quotes 26k
- Wisdom Quotes 23.5k
- Truth Quotes 23.5k
- Romance Quotes 23k
- Poetry Quotes 22k
- Death Quotes 20k
- Happiness Quotes 18.5k
- Life Lessons Quotes 18.5k
- Hope Quotes 18k
- Faith Quotes 18k
- Quotes Quotes 16.5k
- Inspiration Quotes 16.5k
- Spirituality Quotes 15k
- Religion Quotes 15k
- Motivational Quotes 15k
- Writing Quotes 14.5k
- Relationships Quotes 14.5k
- Life Quotes Quotes 14k
- Love Quotes Quotes 14k
- Success Quotes 13.5k
- Time Quotes 12.5k
- Motivation Quotes 12k
- Science Quotes 11.5k
- Knowledge Quotes 11k