“Profound study of nature is the most fertile source of mathematical discoveries.”
- Joseph Fourier, The Analytical Theory of Heat (1822).
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2,326
The golden spiral, unrolled.
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19
96
5,888
Divide 1 by 998001… and the decimal starts counting: 000, 001, 002… all the way to 999. Except one number never shows up - the number is 998.
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24
115
8,086
"Probably 80% of the time you're completely stuck." - Ashoke Sen

The other 20% reshaped physics. Prof. Sen has been awarded the 2026 Oskar Klein Medal, the first Indian physicist to receive it, for his work on S-duality, black-hole entropy and string field theory.
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3,583
Proving a² + b² = c² without a single word.
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58
337
19,790
Solving a Megaminx with graph theory.
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160
831
24,717
Replying to @TheMathFlow
@TheMathFlow I like this--this is very processual
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1
171
Replying to @WulltKlas
@WulltKlas yeah! It is, actually.
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The Math Flow retweeted
“Philosophy is written in this grand book, the universe, which stands continually open before our eyes… It is written in the language of mathematics.”
- Galileo Galilei
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601
2,850
85,848
The Math Flow retweeted
Every conic is a slice of the same cone.
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93
680
32,765
The Gaussian integral ✍️
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40
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30,421
Replying to @PhysInHistory
@PhysInHistory One of the most beautiful mathematical expressions for a reason:
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954
2 is the only even prime number.
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40
303
7,805
“Those laws are within the grasp of the human mind; God wanted us to recognize them by creating us after his own image so that we could share in his own thoughts.”
- Johannes Kepler
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4,179
Every conic is a slice of the same cone.
8
93
680
32,765
A simple proof of the Pythagorean theorem.
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9,696
The extraordinary legacy of the Bernoulli family.
The Bernoulli family was a remarkable dynasty of Swiss mathematicians and physicists who made significant contributions to various fields of science in the 17th and 18th centuries. The family produced 8 prominent academics, most notably Jacob, Johann, and Daniel Bernoulli, who of calculus, differential equations, probability theory, and fluid mechanics.
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3,450
The Fibonacci Spiral Clock.
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551
2,943
140,160
Replying to @TheMathFlow
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286
Replying to @YNHallak
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296
A coffee cup and a donut are the same object, topologically.
Stretch and bend, but never tear or glue. Each has exactly one hole, so one deforms continuously into the other. They are homeomorphic.
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6,097
The Math Flow retweeted
The Fibonacci Spiral Clock.
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551
2,943
140,160
Almost any shape can roll smoothly; you just need the right road.
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13
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6,444
“Philosophy is written in this grand book, the universe, which stands continually open before our eyes… It is written in the language of mathematics.”
- Galileo Galilei
64
601
2,850
85,848