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  • 5 лет назадОпубликованоJacob Yatsko

A New Way to Look at Fibonacci Numbers

A look at how Pisano periods and the modulo function can turn the Fibonacci sequence into strange and fun visual designs. More links: Interactive circle designs by towerofnix: On-Line Encyclopedia of Integer Sequences: Fibonacci Sequence (A000045): List of Pisano Periods (A001175): PICTURE CREDITS Lewitt, Sol. "Wall Drawing #33." 15 bytes. Artists of Utah, Kiki Karahalios, 27 Feb. 2019, Lewitt, Sol. "Wall Drawing #51." MASS MoCA. n.d., Lewitt, Sol. "Wall Drawing # 1115." Rice University News and Media Relations. Katharine Shilcutt, Estate of Sol Lewitt / ARS, 1 Nov. 2019, u/julekca. "[OC] Blade Runner 2049..... represented by 1600 captures of the movie. Each of these is resized to 1px wide and extracted with the same time interval." r/dataisbeautiful. Reddit, c. Oct. 2019, VIDEO CREDITS "Fibonacci Mystery." YouTube, uploaded by Numberphile, 18 Sep. 2013, "The Golden Ratio (why it is so irrational)." YouTube, uploaded by Numberphile, 8 May 2018, "Times Tables, Mandelbrot and the Heart of Mathematics." YouTube, uploaded by Mathologer, 6 Nov. 2015, MUSIC Used with permission: Yombai - Karmic Tea Licensed under Attribution 3.0 Unported (CC BY 3.0) : - Louigi Verona - Window in the Sky (parts 3 & 5, edited) Mirrors Patterns on a Silk Cloth Lit by the Morning Sun that Reflects off of a Newly Printed Map of Australia Silk Companion Licensed under Creative Commons CC-BY 4.0 : - Seclorance - Xinachtli Autumn (Still Life)