Fractals: Simple rules, complex shapes

What this episode covers

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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Frequently Asked Questions

How long is this episode of The Art of Mathematics?

This episode is 14 minutes long.

When was this The Art of Mathematics episode published?

This episode was published on January 28, 2026.

What is this episode about?

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...

Can I download this The Art of Mathematics episode?

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