Erm, I'm not sure you clarified anything other than removing one pair of spurious round brackets that who knows why they're there in the source material.
There are other weird formatting things in this article, which I blame on AI. I don't think the whole article was written by AI, but the copy-editing and formatting looks like an AI messed up things, such as those pointless round brackets or the inconsistency of multiplication (sometimes there is a × sign, sometimes there isn't), or this:
> have suspected that O(n²) was an inherent speed limit for multiplication. The celebrated Soviet math professor Andrey Kolmogorov posed the O(n^2)
It is sadly emblematic of how much SciAm has cheapened itself over the past decade. They used to care about technical details. Now they serve up poorly formatted rehashes of news (largely) from 65 years ago.
That is neat, I did not know this method of constructing a gold ratio. Once you have a golden ration it's easy to construct a pentagon (with straight-edge and compass).
The ratio of the length of the diagonal of a pentagon to one of its sides is the golden ratio -- easiest visualization is with similar triangles. Draw a regular pentagon (sides of length 1 for simplicity) and pick a side, make an isosceles triangle with that side as the base and two diagonals meeting at the opposite point. Go one side length down from the opposite point and mark that (F below). Convince yourself that triangle DCF is similar to CAD (symmetry gets you there).
Now we wish to find the length of, say, CA. From similarity CD/CA = FC/DF, and CD = DF = 1, and CA - FC = 1, so the ratio simplifies to... CA^2 - CA - 1 = 0 which yields the golden ratio.
A
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B.' | | `.E
\ F| | /
\ | | /
\ | | /
\|_____|/
C D
I'm not from the US, but here in Australia, the 2026 BYD atto EV is priced at 24k AUD. That's 16k USD. Also the infrastructure is there as most homes are connected to the electricity grid
def get_species(): return 'Canis familiaris'
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