Why do odd numbers always add up to a perfect square? No algebra needed. 👇#math #proofwithoutwords
The most famous theorem in math, in 10 seconds. No words. 📐#math #proofwithoutwords
The most famous theorem in math, in 10 seconds. No words. 📐
▎ #math #proofwithoutwords
The visual demonstration of 1/3 + 1/9 + 1/27 + ... = 1/2 😮 #ProofWithoutWords
9月下旬新刊
『一目見たら忘れられない証明：Visual Proofs』西山 享 2970円（朝倉書店）
1. 数をかぞえよう
2. ピタゴラスの定理
3. パスカルの三角形
4. カタラン数とディック経路
5. 等比級数とフィボナッチ数列
予約受付中⇩
x.gd/AKkyK
Visual Proof は Proof without Words とも言います．
頭の中にアイディアの補助線を引く，という感じ?
#VisualProofs #ProofWithoutWords
9月下旬新刊予定
『一目見たら忘れられない証明：Visual Proofs』西山 享2970円（朝倉書店）
「1+2+3+…+nの和をnで表すと？」「ピタゴラスの定理はどう証明する？」といった数学の問いについて，一目見てわかる証明（ビジュアル・プルーフ）を多数紹介
予約受付中⇩
x.gd/PijJG
Here’s my favorite 2025 fact. Happy new year!
A New Year 2025 Math Fact
youtu.be/ZWLkIW4NsQ0
#math #proofwithoutwords #visualproof #2025newyear
Teaching geometric series this fall? Here is a compilation video of 9 geometric series dissection proofs:
youtu.be/gN4EFwF5Hro
#proofwithoutwords #math
New static proof without words dropped on Friday in Mathematics Magazine :
tandfonline.com/eprint/Q7PI3…
New animation of the static diagram is already here!
youtu.be/i12p4Acb3L4?si=g_lA…
Which is better?
#math #proofwithoutwords
New animation today : Jordan’s inequality based on Feng Yuefeng’s proof without words - youtu.be/4BP_BJjOet0?si=FUt4…
#proofwithoutwords #math #visualproof
Animated one of my first published proofs without words: a generalization of one by Nelsen. Here you can find the sum of reciprocals of any column in Pascal’s triangle:
youtu.be/moxeqJx2YsY?si=JoP8…
#math #proofwithoutwords
Need to find the sum of the first n odd positive cubes? Remember it’s a triangular number using this animated version of a proof without words due to Monte Zerger:
youtu.be/EIN1xCHMe4w
#math #visualmath #proofwithoutwords
Dude-perfect inspired math video:
Four proofs showing the area of a regular dodecagon in a unit circle. Which level is your fave?
youtu.be/I5IrNug26S8?si=z_yh…
#math #visualproof #proofwithoutwords
My animation of one of the oldest visual geometric sum dissections is this one for general ratio 0<(1-r)<1 and first term r in a square from Warren Page: youtu.be/KIoVix50V-k?si=9x6i…
#math #proofwithoutwords #visualproof
Tripling the square is a problem much simpler than that of doubling the cube ... 🤔
Here's a straightforward geometrical construction.
#ProofWithoutWords
Style inspired by "Idan Tal" (@MagicPi2)
Credits: #Pythagoras, #Euclid, #paolozellini
Visualizing the sum of odd squares (based on proof from Roger Nelsen) :
youtu.be/WKxoi2i0EaE
Can you see other sums that permit this summing technique?
#math #proofwithoutwords @manim_community
Happy Pi approximation day. Here’s an animation of two different Machin like formulas based on a visual proof by Roger Nelsen. Hope you like it!
youtu.be/4edCTcA0mTg
#pi #math #proofwithoutwords #PiDay @manim_community
Follow up to last week's animated #proofwithoutwords. What's the alternating sum of triangular numbers starting with an odd indexed triangular num? Check out this proof (adapted from Roger Nelsen):
youtu.be/dRa3ItqEZwM
#math
