3, 5, 8 jsou členy Fibonacciho posloupnosti. Pro členy Fibonacciho posloupnosti (1,1,2,3,5,8,13...) platí: [math]K_{n-1}K_{n+1}-K_n^2=(-1)^n[/math] Zde [math]n=5→3\cdot8 - 5^2=(-1)^5=-1[/math] [b]Viz též:[/b] Paradox Lewise Carrolla 1 - trojice (8,5,13): [url]http://tube.geogebra.org/student/b77140#material/777859[/url] Paradox L. Carrolla 3 - trojice (5,8,13) + (8/fi,8,8fi): [url]http://tube.geogebra.org/student/b77140#material/794715[/url]
další podobné paradoxy: [url]http://tube.geogebra.org/student/b113766#[/url] [url]http://en.wikipedia.org/wiki/Missing_square_puzzle[/url] [url]http://www.cut-the-knot.org/Curriculum/Fallacies/CurryParadox.shtml[/url] [url]http://www.cut-the-knot.org/do_you_know/GoldenRatio.shtml#Curry[/url] [url]http://www.homeschoolmath.net/teaching/geometric_vanishes_puzzles.php[/url] [url]http://yozh.org/2011/05/15/an-area-paradox/[/url] [url]http://mathlesstraveled.com/2011/05/15/cassinis-identity/[/url]