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The Art of Mathematics

Science

The Art of Mathematics

Carol Jacoby

The Most Beautiful Formula

June 27, 2026 3:10pm 16 min

Joseph Bennish discusses Euler’s formula, which involves pi, e, the imagery i, 0 and 1, a beautiful formula that unites disparate types of numbers. We can think of e raised to an exponent as compound interest or a functi...

Math as it Should Be

May 27, 2026 3:57pm 17 min

Aris Winger, Math Professor and Executive Director of the National Association of Mathematicians, has experienced first hand how math can save students' lives by uplifting them. Our education system can move beyond workb...

Crocheting Mathematics

April 22, 2026 1:29pm 12 min

Beyza Aslan, Associate Professor of Math at the University of North Florida, crochets mathematics. This turns abstractions, such as hyperbolic geometry, into something that can be touched, felt, manipulated, and experime...

Pythagorean Triples and Some New Conjectures

March 25, 2026 3:56pm 20 min

Ben Cornish, host of The Mathematicians Podcast, discusses Pythagorean triples, integers that can be the sides of a right triangle. There are infinitely many primitive triples, as he proves. This concept has been around ...

Proofs and Buckets of Fish

February 25, 2026 4:00pm 15 min

Joel David Hamkins, author of Proof and the Art of Mathematics, presents the game Buckets of Fish, which seemingly will go on forever. Yet he presents a proof that it will always come to an end. In fact, he proves it usi...

Fractals: Simple rules, complex shapes

January 28, 2026 1:41pm 14 min

Krystal Taylor, Associate Professor of Mathematics at Ohio State University, discussed the surprising characteristics of fractals, "infinity in a box." They may have fractional dimension, which varies depending on how it...

The Many Facets of Math

April 23, 2025 4:46pm 15 min

Alon Amit addresses the various facets of mathematics. Is it an art or a science? Both? Neither? Is it invented or discovered? Why is math that's developed for purely aesthetic reasons so often a useful tool for the real...

Will AI Replace Mathematicians?

March 26, 2025 3:27pm 20 min

Alon Amit, prolific Quora math answerer, discusses how Artificial Intelligence might change the role of the mathematician. AI will make mathematics more efficient but it can't do math in a deep sense at present. It can't...

The National Museum of Mathematics

February 26, 2025 3:59pm 17 min

Cindy Lawrence is the Director and CEO of the National Museum of Mathematics in New York City. She and a former math professor built it up from a grass-roots museum started by math teachers. The Museum, soon to move into...

Contemporary Math Research for Artistic Undergrads

January 22, 2025 3:49pm 14 min

Veselin Jungic, teaching professor of mathematics at Simon Fraser University, introduces undergraduate math minors to contemporary math research. The focus is Ramsey theory, an area of current research activity that brin...

Where do Math Concepts Come From?

December 25, 2024 4:00pm 20 min

Joseph Bennish discusses math as a "concept factory." The concept of prime numbers came from a desire to break numbers down to their simplest atoms. This simple concept led to simple questions like the twin prime conject...

A Clockmaker, an Egg, and a Cathedral

November 27, 2024 4:07pm 14 min

Jeanne Lazzarini tells us how a clockmaker used an egg to win the competition to build the dome of the Florence Cathedral. The Cathedral had had a huge gaping hole for a hundred years since no one knew how to build such ...

What is a Pattern?

October 23, 2024 4:00pm 12 min

Math is in a sense the science of patterns. Alon Amit explores the question of what exactly is a pattern. A common example is the decimal digits of pi. The statement that they have no pattern seems to be either obvious o...

What's the Big Deal about Pi?

September 25, 2024 4:14pm 17 min

Alon Amit joins us on the antipode of Pi Day to counter the myths and mysteries of this most famous irrational number. There's nothing magical about a non-repeating string of digits. The real and profound mystery is the ...

Turning Math-Hating Prisoners into Mathematicians

August 28, 2024 4:00pm 22 min

Kate Pearce, a post-doc researcher at UT Austin, talks about her experience teaching math in a women's prison. Her remedial college algebra students came in with negative experience in math, so she devised ways to make t...

Stop Overselling Mathematics

July 24, 2024 4:00pm 17 min

Alon Amit, prolific Quora math answerer, argues that an honest representation of mathematical ideas is enough to spark interest in math. It's not necessary to exaggerate the role of math; the golden ratio does not drive ...

Math for Kids: It's not a Spectator Sport

June 26, 2024 3:59pm 21 min

Dave Cole, the author of the Math Kids series of books, talks about introducing kids to math as a fun challenge and puzzle beyond the rote memorization they've come to expect. Kids who like to read are enticed by puzzles...

Egyptian Fractions

May 22, 2024 4:29pm 17 min

Neil Epstein, Associate Professor of Mathematics at George Mason University, introduces us to the fractions used by the ancient Egyptians, well before the Greeks and Romans. The Egyptian fractions all had a unit numerato...

Da Vinci's Math Teacher: Merging the Practical and Theoretical

April 24, 2024 4:00pm 16 min

Jeanne Lazzarini joins us again to introduce us to the mathematician Luca Pacioli, whose views of numbers and shapes influenced Leonardo da Vinci, leading to a period of art and invention. His book, De Divina Proportione...

Alon Amit, sharing the mathematical journey in Quora and Math Circles

March 27, 2024 4:00pm 20 min

Alon Amit, probably the most prolific answerer of math questions on Quora, shares his reasons for his deep involvement. He seeks to share the journey, the exploration and stumbles of solving a problem. He's especially dr...

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