Saccheri quadrilateral

Reference Topics 7-6

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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:
https://www.goldennumber.net/nature/

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

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

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7.6 Outline

  1. Golden rectangles
    1. definition
    2. divine proportion
    3. tau
  2. Mathematics and art
    1. golden ratios in art
    2. proportions of the human body
    3. spiral constructed using a golden rectangle
  3. 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