Happy Pythagorean Day!

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Discussion Overview

The thread discusses the significance of Pythagorean triples in relation to specific dates, the philosophy of Pythagoras, and mathematical problems related to squares. It includes a mix of playful banter and serious inquiries about the implications of Pythagorean concepts.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants note that the date 9/16/25 can be expressed as a Pythagorean triple (32/42/52) in mm/dd/yy format, while in dd/mm/yy format it is still a Pythagorean triple (42/32/52) but not in a sequential order.
  • There is a suggestion from a participant about studying Pythagoras's philosophy, indicating a search for deeper understanding alongside their current study of Stoicism.
  • A mathematical problem is presented regarding Diophantus's Book II Problem VIII, which involves dividing a square of a rational number into two other squares of rational numbers.
  • One participant calculates the number of Pythagorean dates per century, arriving at a ratio of approximately 1.5 per year, while noting that most years do not yield any Pythagorean dates.
  • There is a playful exchange about the character Sleipnir, with some participants joking about the name and its significance, while one participant expresses a personal connection to Norse mythology.

Areas of Agreement / Disagreement

Participants express a mix of playful commentary and serious inquiries, with some engaging in light-hearted jokes while others focus on mathematical and philosophical discussions. There is no clear consensus on the significance of Pythagorean concepts or the relevance of Sleipnir.

Contextual Notes

The discussion includes various assumptions about the nature of Pythagorean triples and their application to dates, as well as differing interpretations of philosophical relevance. The mathematical problem presented may depend on specific definitions and interpretations of rational numbers.

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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