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[Daily puzzle] Magic product puzzle
660 sats \ 11 comments \ @south_korea_ln 15 Oct science
You are given that and .
Can you find without solving for and explicitly?
This one is easy and is solvable using high school math.
Previous iteration: #722793 (answer given in #723168).
(illustration of Apollonian gasket related to the previous problem)
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204 sats \ 2 replies \ @Scroogey 15 Oct
The area of the outer big square is .
The area of the inner small square is (from Pythagoras on the triangles).
To calculate the inner square area, you take the outer square area, and subtract the area of the triangles:
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101 sats \ 1 reply \ @SimpleStacker 15 Oct
I love how the same algebraic solutions can have a very interesting geometric interpretation. Math is so beautiful
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13 sats \ 0 replies \ @WeAreAllSatoshi 15 Oct
Yea, that is pretty cool!
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220 sats \ 0 replies \ @Undisciplined 15 Oct
58
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122 sats \ 1 reply \ @cryotosensei 15 Oct
Do I get a B+? Haha
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0 sats \ 0 replies \ @south_korea_ln OP 15 Oct
I see some explicit and calculation. A few sats for the pen and paper efforts~~
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109 sats \ 0 replies \ @WeAreAllSatoshi 15 Oct
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1 sat \ 0 replies \ @south_korea_ln OP 15 Oct
I started making a multi-part multi-day puzzle to solve Fermat's last theorem for , but couldn't decide on how to properly divide it into meaningful parts as separate daily puzzles. That's why I ended up settling on this easy quick one for now, but hope to get back to Fermat in the coming days if I can find a way to approach things pedagogically.
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0 sats \ 0 replies \ @ContraMundum 15 Oct
58
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0 sats \ 1 reply \ @WeAreAllSatoshi 15 Oct
Also, thank you for posting the link to the previous puzzle. I haven't been able to keep up but I want to go back and do some of the prior ones.
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0 sats \ 0 replies \ @south_korea_ln OP 15 Oct
No problem :)
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