SIMPLE-MINDED GOLDEN SECTION EXAMPLES

 

 

DIRK HUYLEBROUCK

 

Abstract: Literature introduces the "golden number" f = 1.618... as a line segment subdivision obeying a rule dating from Euclid’s time. Less ancient is the related "golden angle" of 36° occurring in the pentagon and in Penrose tessellations. At the end of the 19th century, unreliable statements about the golden section started to lead their own life, but by the end of the 20th century, these exaggerations created doubts about the exceptional nature of golden section. A short focus on some excesses still seems appropriate for a conference on the borderline of mathematics and art, as some of the given consequences for society are so simple-minded every reader will be warned for good about this golden section myth