The key difference from Euclidean geometry is that a circle of radius \(r\) has circumference \(2\pi\sinh r 2\pi r\), and volumes grow exponentially rather than polynomially: \[\operatorname{Vol}(B(r)) = \operatorname{Vol}(S^{n-1})\int_0^r \sinh^{n-1}(t)\,dt.\]
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The US-Israel strikes on Iran risk a repeat of the 2022 energy shock that forced power bills up by more than 40%, sent Australian businesses to the wall and forced governments to spend billions on power bill subsidies.
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