The Most Beautiful Mathematical Equation
(Published on 15. November 2024, 13:54 by Tobias Brixner)
Puzzle link: Play on SudokuPad.
CTC-Video: Featured on the Cracking the Cryptic YouTube channel and also on the Sudoku Sleuth YouTube channel. Many thanks!
Rules: Normal Sudoku rules apply. Two cells connected by a green German whispers line must have a difference of at least 5. Each red parity line contains an odd and an even digit. The pink renban line contains a set of consecutive digits in any order, without repeats. The cell with a grey circle contains an odd digit.
Your feedback, ratings and comments are highly appreciated. Have fun!
Background: Euler's identity, eπi + 1 = 0, has often been described as the most beautiful mathematical equation. It is remarkable that it links mathematical constants from completely different areas: Euler's number e (i.e., the base of the natural logarithm), the circle number π (i.e., the ratio of a circle's circumference to its diameter), and the imaginary unit i with the property i2 = -1. It is amazing that by linking these quantities in the context of complex exponentiation (a difficult process to understand in itself), you actually get the integer -1 (and therefore 0 if you add 1). Even more astonishing and useful, however, is Euler's formula eix = cos x + i sin x. This forms the basis for the polar representation of complex numbers and has a wide range of applications across science and technology. Nobel Prize winner in physics Richard Feynman described Euler's formula as “the most remarkable formula in mathematics” and “our jewel”. Euler's identity simply results from this as a special case for x = π (and hence cos π = -1 and sin π = 0).
Solution code: All digits of row 5 (from left to right) followed by column 7 (from top to bottom) without spaces.
Comments
on 9. December 2024, 13:34 by Tobias Brixner
Added link to Sudoku Sleuth video.
on 25. November 2024, 09:44 by Tobias Brixner
Added link to CTC video.
on 18. November 2024, 18:41 by MattConco
48mins for me. Surprised its only 1 star but managed to get through it.
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Thanks for playing! - TB
on 16. November 2024, 03:48 by amchap
Great puzzle. Loved the given 3 on pi, and 1 on 1 :) Thanks for sharing.
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Nice that you noticed this detail! - TB
on 15. November 2024, 21:37 by faltenin
I have the equation on my coffee mug ;-)
Bonus points if you pronounce the Swiss genius "OY-lar"
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Thanks for sharing. - TB
on 15. November 2024, 18:39 by fallean
Very nice puzzle, but the solution code was way too long tbh
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Fair enough - one row would have sufficed. This was just my standard from other, more complicated puzzles in which the solution might be more ambiguous. Anyway, thanks for playing. - TB
on 15. November 2024, 18:32 by VitP
a COMPLEX sudoku
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with TRIG-y stuff... - TB
on 15. November 2024, 16:30 by PinkNickels
This reminds me of "Mathematics for Physics", a required course for my physics undergrad. Fun times! Long ago :)
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Indeed... Thanks a lot! - TB
on 15. November 2024, 14:19 by Onkel_Dagobert
Ein schönes Rätsel, Euler wäre stolz. Gut für Einsteiger geeignet, das Schwierigste daran war die Eingabe des Lösungscodes.
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:-) Danke fürs Spielen und Kommentieren. - TB
