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: https://www.khanacademy.org/computer-programming/spin-off-of-pisano-periods/6197055193645056 On-Line Encyclopedia of Integer Sequences: https://oeis.org Fibonacci Sequence (A000045): https://oeis.org/A000045 List of Pisano Periods (A001175): https://oeis.org/A001175 PICTURE CREDITS Lewitt, Sol. "Wall Drawing #33." 15 bytes. Artists of Utah, Kiki Karahalios, 27 Feb. 2019, artistsofutah.org/15Bytes/index.php/43029/. Lewitt, Sol. "Wall Drawing #51." MASS MoCA. n.d., massmoca.org/event/walldrawing51/. Lewitt, Sol. "Wall Drawing # 1115." Rice University News and Media Relations. Katharine Shilcutt, Estate of Sol Lewitt / ARS, 1 Nov. 2019, news.rice.edu/2019/11/01/rices-glasscock-school-to-display-sol-lewitt-drawings/. 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, www.reddit.com/r/dataisbeautiful/comments/d7nw9p/oc_blade_runner_2049_represented_by_1600_captures/. VIDEO CREDITS "Fibonacci Mystery." YouTube, uploaded by Numberphile, 18 Sep. 2013, www.youtube.com/watch?v=Nu-lW-Ifyec. "The Golden Ratio (why it is so irrational)." YouTube, uploaded by Numberphile, 8 May 2018, www.youtube.com/watch?v=sj8Sg8qnjOg. "Times Tables, Mandelbrot and the Heart of Mathematics." YouTube, uploaded by Mathologer, 6 Nov. 2015, www.youtube.com/watch?v=qhbuKbxJsk8. MUSIC Used with permission: Yombai - Karmic Tea Licensed under Attribution 3.0 Unported (CC BY 3.0) https://creativecommons.org/licenses/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 https://creativecommons.org/licenses/by/4.0/: - Seclorance - Xinachtli Autumn (Still Life)