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: [ Ссылка ]
On-Line Encyclopedia of Integer Sequences: [ Ссылка ]
Fibonacci Sequence (A000045): [ Ссылка ]
List of Pisano Periods (A001175): [ Ссылка ]
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) [ Ссылка ]:
- 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 [ Ссылка ]:
- Seclorance -
Xinachtli
Autumn (Still Life)
