Did you ever play with a Spirograph when you were a kid? Remember that mesmerizing box of plastic gears and colored pens promising a world of perfect geometric art? Of course, if you were like me, you usually ended up skipping a tooth or popping a pin halfway through, and totally boogered the whole masterpiece!
But did you know that while you were struggling with those slipping gears, you were actually dabbling in the world of hypotrochoids?
A 2,000-Year-Old Design
It turns out the ancient Greeks were "playing" with these same complex patterns long before the toy hit shelves in the1960s. Check out this incredible mosaic from the Great Baths of Dion, Greece, dating back to approximately AD 200.
While the Romans were relaxing in the thermal pools at the foot of Mount Olympus, they were walking across floor designs that look suspiciously like the ones we tried to draw on our bedroom floors.
What is a Hypotrochoid?
In mathematical terms, a hypotrochoid is the curve traced by a fixed point on a circle as it rolls around the inside of a larger fixed circle.
The Greeks: Used these geometric patterns to represent harmony, movement, and the infinite.
The Toy: Used the same principles of gear ratios and fixed points to let kids create "mathematical roulette curves".
History Under Your Feet
The next time you’re at a site like the Dion Archaeological Park, keep your eyes on the ground. Between the statues of Dionysus and the ancient water organs, you’ll find these timeless geometric patterns. It’s a powerful reminder that while our tools change—from stone tesserae to plastic cogs—our fascination with math and symmetry remains the same.
Experience Greece with Bible Land Explorer
We aim to roll wheels around Greece twice in 2026.
Land Tour of Biblical Greece, October 10 - 21, 2026. See the travel brochure here for details.
Mediterranean Cruise, Oct 22-Nov 3, 2026. See the website here for details.
Seats are available on both excursions. Experience the place where faith begins!