A New Way to Look at Fibonacci Numbers

Описание: 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-...

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,    • Fibonacci Mystery - Numberphile  .

"The Golden Ratio (why it is so irrational)." YouTube, uploaded by Numberphile, 8 May 2018,    • The Golden Ratio (why it is so irrational)...  .

"Times Tables, Mandelbrot and the Heart of Mathematics." YouTube, uploaded by Mathologer, 6 Nov. 2015,    • Times Tables, Mandelbrot and the Heart of ...  .

MUSIC
Used with permission:
Yombai - Karmic Tea

Licensed under Attribution 3.0 Unported (CC BY 3.0) https://creativecommons.org/licenses/...
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/...
Seclorance -
Xinachtli
Autumn (Still Life)