Happy Pythagorean Day!

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SUMMARY

The discussion centers on the significance of Pythagorean Day, specifically the date 9/16/25, which represents a Pythagorean triple (32, 42, 52) in mm/dd/yy format. The date also forms a Pythagorean triple (42, 32, 52) in dd/mm/yy format, although it is not monotonically sequential. Participants express interest in studying Pythagorean philosophy alongside Stoicism, highlighting the mathematical and philosophical implications of Pythagorean concepts. Additionally, the discussion touches on Diophantus's Book II Problem VIII, which involves dividing a square into two other squares of rational numbers.

PREREQUISITES
  • Understanding of Pythagorean triples
  • Familiarity with the mm/dd/yy and dd/mm/yy date formats
  • Basic knowledge of Diophantine equations
  • Interest in Pythagorean philosophy and Stoicism
NEXT STEPS
  • Explore the properties of Pythagorean triples in number theory
  • Study Diophantine equations, specifically Diophantus's Book II Problem VIII
  • Research Pythagorean philosophy and its influence on mathematics
  • Investigate the historical context of Stoicism and its relationship with Pythagorean thought
USEFUL FOR

Mathematicians, philosophy students, and anyone interested in the intersection of mathematics and philosophy, particularly those exploring Pythagorean concepts and their applications.

Astronuc
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In mm/dd/yy format, 9/16/25 is 32/42/52.

In dd/mm/yy, it's 42/32/52, still Pythagorean, but not monotonically sequential.
 
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Astronuc said:
In mm/dd/yy format, 9/16/25 is 32/42/52.

In dd/mm/yy, it's 42/32/52, still Pythagorean, but not monotonically sequential.
Well, I'll be squared!
 
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I'm wondering if I should study Pythagoras's Philosophy, I'm studying a lot of Stoicism right now, in fact I bought a book for 0.25$ at the library.

But it seems that Pythagoras could give me more of the answers of why and how?
 
SleipnirTheHorse said:
I'm wondering if I should study Pythagoras's Philosophy, I'm studying a lot of Stoicism right now, in fact I bought a book for 0.25$ at the library.

But it seems that Pythagoras could give me more of the answers of why and how?
Ask the horse nir where you sleip.
 
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Diophantus Book II Problem VIII. To divide a square (of a rational number) into two other squares - also of rational numbers. Let the first of these be N and the second an arbitrary multiple of N diminished by the square root of the chosen square. Solve for N.
 
Well, century-wide , there are 3 choices for month : 1,4,9, and 5 choices for day: 1,4,9,16,25 , and , if we use just 2 digits for the year, (allowing 00, 01,04,09 as squares ), 10 choices, for a total of (3)(5)(10)=150 choices per century. Out of a total of 36500 days, give-or-take (Leap year or not, whether the first year is leap or not, etc) , for a ratio of 15/3650=3/730 , or an average of around 1.5 per year, though 90% of the years, those not ending in a square, there will be none.
 
I don’t think you know who Sleipnir is?
 
SleipnirTheHorse said:
I don’t think you know who Sleipnir is?
Sorry, a joke. Hope you didn't find it offensive. ' Sleipnir' reads like 'Sleep near'.
 
WWGD said:
Sorry, a joke. Hope you didn't find it offensive. ' Sleipnir' reads like 'Sleep near'.
Ok, wasn't offensive, just I am a Norse Pagan and Sleipner is a big part of my religion. By the way my favorite cartoon has two characters who are based of horses in my religion who bring up the sun and moon.
 
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