John Conway Circle Theorem Proof

Рет қаралды 11,641

3 жыл бұрын

An original dynamic proof of the late John Conway's Circle Theorem. Sadly, John died in 2020 from Covid 19. He has been described by fellow Mathematicians as a creative genius.

Пікірлер: 21

@simonsallen 2 жыл бұрын

This delighful proof was mentioned by Burkard Polster of Mathloger fame in is Gathering for Gardner talk 'Animating Conway' given on 18th October or 19 October depending on your time zone

@Grizzly01 2 жыл бұрын

The video of that was put up on YT yesterday, so expect more visitors here. That's where I came from! kzfaq.info/get/bejne/jNiIodqe3t7dnJs.html

@mathmoves5858 2 жыл бұрын

Thanks!

@marcderiveau2421 Ай бұрын

What is the theorem and what is the proof ?

@turbostar101 2 жыл бұрын

Also came here from Burkard Polster's site as a result of a talk he gave on John Conway proofs. Really love your animation here!

@MathVisualProofs 2 жыл бұрын

Love this one. Thanks for it!

@Its2Reel4U 2 жыл бұрын

Wow, a full proof without words, numbers, letters or symbols in 0:48 !

@mathmoves5858 2 жыл бұрын

Thanks!

@brunoalejandroandrades354 2 жыл бұрын

Awesome proof! So beautiful!

@mathmoves5858 2 жыл бұрын

Thanks!

@dimpalkumari4575 2 жыл бұрын

Beautiful, please don't give up keep doing what you do it's beautiful

@morkovija 2 жыл бұрын

Absolutely wonderfuly, thank you

@sparshsharma5270 11 сағат бұрын

What is the theorem about? You should put the theorem in the description else those unaware won't be able to comprehend.

@CinereoTheRogue Ай бұрын

All the sudden, my mind was blown.

@johnl4885 Жыл бұрын

This one comes from the book, indeed. I would put an arrow on the spinning colored segment to show that it points in the opposite direction once it makes its way back to its original position. This would make clear that it had to bisect itself since it falls onto itself. If the small circle has radius, r, the colored segments have length, L, then the big circle has radius, R, equal to sqrt((L/2)^2 + r^2)

@gabor6259 2 жыл бұрын

Nice proof. This music gave me Kung Fu Panda vibes.

@omargaber3122 Жыл бұрын

Great

@micohen2 Ай бұрын

I don’t understand this. What is the theorem being proved?

@cheesebusiness Ай бұрын

What does it proof?

@CosmicDoomsday 21 күн бұрын

2 sides converge on each vertex in a triangle. If you extend those sides by the length of the side opposite to the vertex, you can draw a circle with a centre that also happens to be the triangle's incentre