Sum of Odd Integers II (visual proof)

preview_player
Показать описание
This is a short, animated visual proof showing one method to find the sum of the first n odd positive integers. #manim #math #mathvideo #mathshorts #sequences #triangles #animation #theorem #pww #proofwithoutwords #visualproof #proof #squarenumbers #squares #oddnumbers #odds #sums #pww​ #proofwithoutwords​ ​ #proof​ #algebra #finitesums #mathematics​ #mathvideo​ #mtbos

This animation is based on a diagram from Math Made Visual by Claudi Alsina and Roger Nelsen.

To learn more about animating with manim, check out:
_____________________________
Music in this video:

Рекомендации по теме
Комментарии
Автор

love the dramatic turning point in the plot!

phiarchitect
Автор

Great video as always! Just a minor comment: when you write sums, you should put more brackets to avoid confusion. In this case, rather than Σ2i-1 you should write Σ(2i-1).

_P_a_o_l_o_
Автор

I like visual proof more than the algebraic one 👍🏼

samikshyanmishra