Fractals: Simple rules, complex shapes

Fractals: Simple rules, complex shapes

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's measured. An infinite perimeter may enclose a finite area. Yet they are not just mathematical oddities--they appear in nature and have practical applications.

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Avsnitt(79)

Zeno's Paradox: Is Motion Possible?

Zeno's Paradox: Is Motion Possible?

Josh Cole discussed Zeno's paradox that says motion is not possible since you must go half-way, and then half of the remaining distance, and so on, infinitely. Aristotle and others struggled with this...

22 Juli 15min

The Most Beautiful Formula

The Most Beautiful Formula

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 ...

27 Juni 16min

Math as it Should Be

Math as it Should Be

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 c...

27 Maj 17min

Crocheting Mathematics

Crocheting Mathematics

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, manip...

22 Apr 12min

Pythagorean Triples and Some New Conjectures

Pythagorean Triples and Some New Conjectures

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 conc...

25 Mars 20min

Proofs and Buckets of Fish

Proofs and Buckets of Fish

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 fa...

25 Feb 15min

The Many Facets of Math

The Many Facets of Math

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 usef...

23 Apr 202515min

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