Love Triangle
How Trigonometry Shapes the World
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An ode to triangles, the shape that makes our lives possible
Trigonometry is perhaps the most essential concept humans have ever devised. The simple yet versatile triangle allows us to record music, map the world, launch rockets into space, and be slightly less bad at pool. Triangles underpin our day-to-day lives and civilization as we know it.
In Love Triangle, Matt Parker argues we should all show a lot more love for triangles, along with all the useful trigonometry and geometry they enable. To prove his point, he uses triangles to create his own digital avatar, survive a harrowing motorcycle ride, cut a sandwich, fall in love, measure tall buildings in a few awkward bounds, and make some unusual art. Along the way, he tells extraordinary and entertaining stories of the mathematicians, engineers, and philosophers—starting with Pythagoras—who dared to take triangles seriously.
This is the guide you should have had in high school—a lively and definitive answer to “Why do I need to learn about trigonometry?” Parker reveals triangles as the hidden pattern beneath the surface of the contemporary world. Like love, triangles actually are all around. And in the air. And they’re all you need.
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"We all rely on triangles to keep our modern world ticking along," according to this disappointing paean. Parker (Humble Pi), a comedian and former math teacher who runs the Stand-up Maths YouTube channel, notes that video game graphics are composed of countless tiny triangles because they can be computed more quickly than other shapes and that civil engineers favor triangular support structures because they're reliably rigid ("Three side-lengths can only form one triangle," whereas rectangles can transform into any number of parallelograms if their sides shift). Parker sometimes strays from his subject, as when he devotes a lengthy passage to chronicling the decades-long hunt for "a polygon which could perfectly cover a surface but in a way which never repeats" on the slim premise that he thinks the solution, a 13-sided shape discovered in 2023, bears a vague resemblance to an equilateral triangle. Other discussions get mired in mathematical minutiae, such as when he breaks down how to use the sine function to determine the size of a U.S. military satellite's telescope mirror based on information gleaned from a photograph the satellite took of an Iranian rocket launch site. Puerile puns peppered throughout don't help (he suggests that manufacturing triangular windows is a "real pane in the glass"). This misses the mark.
