Saccheri quadrilateral Archives - The Nature of Mathematics

Reference Topics 7-6

June 3, 2019July 13, 2015 by elaine

The Golden Ratio is discussed at this site:
http://www.geom.uiuc.edu/~demo5337/s97b/art.htm

The Golden Section in Nature is discussed at this site:
http://www.gi.alaska.edu/ScienceForum/ASF7/716.html

There are many sites that discuss the relationship between math and art (that is between perspective and projective geometry). You … See the whole entry

Homework Hints 7-6

October 22, 2015July 13, 2015 by elaine

Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3

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Section 7.6: Mathematics, Art, and Non-Euclidean Geometries

September 25, 2015July 10, 2015 by elaine

7.6 Outline

Golden rectangles
1. definition
2. divine proportion
3. tau
Mathematics and art
1. golden ratios in art
2. proportions of the human body
3. spiral constructed using a golden rectangle
Projective geometry
1. Duccio’s Last Supper
2. Hogarth’s Perspective Absurdities
3. false perspective
4. Masaccio’s The Holy Trinity

… See the whole entry