Conway's Circle
0:21
Ай бұрын
Proof of new circle theorem
0:22
2 ай бұрын
A new circle theorem
0:22
2 ай бұрын
Heptagram angles equal 540 degrees
0:39
John Conway Circle Theorem Proof
0:49
half turn
0:07
3 жыл бұрын
proof
0:20
3 жыл бұрын
Пікірлер
@sparshsharma5270
@sparshsharma5270 8 күн бұрын
What is the theorem about? You should put the theorem in the description else those unaware won't be able to comprehend.
@marcderiveau2421
@marcderiveau2421 Ай бұрын
What is the theorem and what is the proof ?
@micohen2
@micohen2 Ай бұрын
I don’t understand this. What is the theorem being proved?
@CinereoTheRogue
@CinereoTheRogue Ай бұрын
All the sudden, my mind was blown.
@cheesebusiness
@cheesebusiness Ай бұрын
What does it proof?
@CosmicDoomsday
@CosmicDoomsday 29 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
@morejpeg
@morejpeg Ай бұрын
very cool!
@ValidatingUsername
@ValidatingUsername Ай бұрын
Have you trisected an angle yet though 😂
@gabrielporfirio717
@gabrielporfirio717 2 ай бұрын
ooohhh now i get it
@gabrielporfirio717
@gabrielporfirio717 2 ай бұрын
i lied :(
@gabrielporfirio717
@gabrielporfirio717 2 ай бұрын
i don't think i understand it
@omargaber3122
@omargaber3122 Жыл бұрын
Great
@johnl4885
@johnl4885 2 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)
@turbostar101
@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!
@dimpalkumari4575
@dimpalkumari4575 2 жыл бұрын
Beautiful, please don't give up keep doing what you do it's beautiful
@morkovija
@morkovija 2 жыл бұрын
Absolutely wonderfuly, thank you
@addi9799
@addi9799 2 жыл бұрын
Fantastic 👌! Get to the top fast - P R O M O S M !!
@DitDede
@DitDede 2 жыл бұрын
nice :)
@MathVisualProofs
@MathVisualProofs 2 жыл бұрын
Love this one. Thanks for it!
@gabor6259
@gabor6259 2 жыл бұрын
Nice proof. This music gave me Kung Fu Panda vibes.
@Its2Reel4U
@Its2Reel4U 2 жыл бұрын
Wow, a full proof without words, numbers, letters or symbols in 0:48 !
@mathmoves5858
@mathmoves5858 2 жыл бұрын
Thanks!
@BR-lx7py
@BR-lx7py 2 жыл бұрын
You could do the same for a triangle that is on a sphere where the angles do not add up to 180, so something must be a little off with this.
@mathmoves5858
@mathmoves5858 2 жыл бұрын
Take 2 points on a line in the plane. Rotate a copy of the line about one of the points by an angle x. Rotate a second copy of the original line about the other point also by an angle x. The two rotated copies will be parrallel to each other. That's why this proof works in the plane. If you repeat this procedure on a sphere, at the end the copies need not be parrallel to each other. That's why it doesn't work on a sphere. It isn't that there is something a little off with this. It's that a sphere is different from a plane when it comes to rotation in it.
@brunoalejandroandrades354
@brunoalejandroandrades354 2 жыл бұрын
Awesome proof! So beautiful!
@mathmoves5858
@mathmoves5858 2 жыл бұрын
Thanks!
@simonsallen
@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
@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
@mathmoves5858 2 жыл бұрын
Thanks!