Happy Pythagorean Day!

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Happy Pythagorean Day celebrates the date 9/16/25, which forms a Pythagorean triple in mm/dd/yy format. The same date in dd/mm/yy format, 42/32/52, also represents a Pythagorean relationship but lacks a sequential pattern. The discussion touches on the potential benefits of studying Pythagorean philosophy alongside Stoicism, suggesting it may provide deeper insights into fundamental questions. Additionally, a mathematical exploration reveals that there are 150 Pythagorean date combinations per century, leading to an average of about 1.5 such days each year. This highlights the rarity and significance of Pythagorean dates in the calendar.
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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