Toroflux paradox: making things (dis)appear with math

NEW (Christmas 2019). Two ways to support Mathologer
Mathologer Patreon: https://www.patreon.com/mathologer
Mathologer PayPal: paypal.me/mathologer
(see the Patreon page for details)

Today is all about geometric appearing and vanishing paradoxes and that math that powers them. This video was inspired by a new paradox of this type that Bill Russel from Bakersfield, California discovered while playing with a toroflux. Other highlights to look forward to: a nice new visual proof of Cassini's Fibonacci identity which forms a core of a very nice Fibonacci based paradox, the classic Get-off-the-the-Earth puzzle, and much more.

Here is the link to Daniel Walsh's blog post on the toroflux: http://danielwalsh.tumblr.com/post/20687530490/playing-with-a-flowing-torus

As usual thank you very much to Marty for all his nitpicking, Michael for his help with filming the video and Danil for looking after the Russian subtitles.

Today's t-shirt I got from here: https://www.teepublic.com/t-shirt/2138490-funny-this-fibonacci-joke-is-as-bad-as-the-last-tw

The piece of music at the end is: English_Country_Garden from the free YouTube music library.

There is a bit of a visual typo at 6:19: The pieces are fine but the grid in the background is not. Here is what it's supposed to look like http://www.qedcat.com/misc/8grid.png

According to the the wiki page the inventor of the toroflux Jochen Valett who is German :) . https://en.wikipedia.org/wiki/Toroflux

Enjoy :)

Видео Toroflux paradox: making things (dis)appear with math канала Mathologer