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Triangle Reel

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Oct 24

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Pythagorean Theorem Day

Triangle Reel

Other Scottish Country Dances for this Day

Today's Musings, History & Folklore

πŸ”Ί Happy Pythagoras Day β€” 10/24/26!

Today is one of those uncommon dates when the numbers on the calendar make a perfect right triangle: 10Β² + 24Β² = 26Β². The numbers 10–24–26 form a Pythagorean triple β€” actually twice the classic 5–12–13 triangle β€” making October 24, 2026 a genuine Pythagoras Day.

And enjoy this one while it lasts: the next Pythagoras Day won't arrive until March 4, 2105, when 3–4–5 supplies perhaps the most famous right triangle of them all!

So what better dance for the day than Triangle Reel, a 3-couple jig in a 4-couple set devised by Ilona Stitz β€” featuring, of course, double triangles!

Scottish Country Dancing has a surprising amount of geometry underfoot: circles, diagonals, squares, reels, intersecting tracks and precisely timed changes of direction. Pythagoras may never have danced a jig or set in double triangles, but today the mathematician and the Scottish Country Dancer can surely agree on one thing β€” it’s all about getting the figures right! πŸ”ΊπŸ•ΊπŸ’ƒπŸ•ΊπŸ’ƒ ❀️ ❀️ ❀️ πŸ”Ί πŸ”» πŸ”Ί πŸ“ πŸ“ πŸ“

Triangle Reel

Pythagoras was born around 570 BC on the Greek island of Samos, but spent much of his life travelling before eventually settling at Croton in southern Italy. There he founded a community devoted to philosophy, mathematics, music and the study of the natural world. His followers became known as the Pythagoreansβ€”and they believed that numbers and mathematical relationships lay behind the order of the universe.


Although his name is forever attached to the famous theorem about right-angled triangles, Pythagoras was equally fascinated by music. He and his followers explored the numerical relationships behind musical intervals, observing that pleasing harmonies could be produced by simple ratios. For dancers, that makes Pythagoras unexpectedly appropriate company: number, pattern, music and movement were all part of the ordered world that fascinated him.


The Pythagoreans were also a rather mysterious lot. Their community followed strict rules, kept some teachings secret, and surrounded their founder with so much legend that it is now difficult to separate the historical Pythagoras from the mythical one. Ancient writers credited him with everything from remembering his previous lives to understanding the language of animals!


Pythagoras probably died around 495 BC, but his name has survived for more than 2,500 years. For more about fascinating math days using calendar dates, click the Pythagorean theorem representation!

Triangle Reel

Click the dance cribs or description below to link to a printable version of the dance!

Triangle Reel

Jan    Feb    Mar    Apr    May    Jun    Jul    Aug    Sep    Oct    Nov    Dec

The majority of dance descriptions referenced on this site have been taken from the

 

Scottish Country Dancing Dictionary or the

Scottish Country Dancing Database 

 

Snapshots of dance descriptions are provided as an overview only.  As updates may have occurred, please click the dance description to be forwarded to a printable dance description or one of the official reference sources.

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