Today, the calendar makes a right triangle, for the last time this century. This Saturday is October 24, 2026. Write it as 10/24/26 or 24/10/26, and the same beautiful relationship appears: 10² + 24² = 26² 100 + 576 = 676 But here’s what makes today special. There are infinitely many Pythagorean triples. Only a handful fit our calendar. Using the rule month² + day² = (last two digits of the year)², the month cannot exceed 12, and the day cannot exceed 31. Those small limits leave exactly 12 qualifying dates in this century. Today is the last. The next will be March 4, 2105: 3² + 4² = 5² That is a wait of more than 78 years. An infinite family of triangles. Just twelve appearances on a century’s calendar. Happy Pythagorean Triple Day.

The unit circle is where geometry meets algebra. Every angle becomes a point, every rotation becomes a pair of coordinates, and the infinite patterns of sine and cosine emerge from a single circle.