Essentially an element of $H$ looks like a tuple $(w_n)$ of words from each $w_n \in F_n = \langle \ell_1, \cdots, \ell_n \rangle$ such that if you remove $\ell_n$ from $w_n$ you get $w_{n-1}$ and each $\ell_i$ appears finitely often in the sequence
Also a nice fact in $H$ is $\ell_1(\ell_2(\ell_4(\cdots)(\cdots)\ell_4^{-1})(\ell_5(\cdots)\ell_5^{-1})\ell_2^{-1})(\ell_3(\ell_6(\cdots)(\cdots)\ell_6^{-1})(\ell_7(\cdots)(\cdots)\ell_7^{-1})\ell_3^{-1})\ell_1^{-1} = 1$
> If 40,000 searches occur in a single second, that second alone uses 12 kWh in energy. That's the equivalent of running a ceiling fan continuously for one month.
@TedE It's a word in the fundamental group of the Hawaiian earring which is not identity if you chop off finitely many words but identity in the transfinite limit
@Akiva This is a good example of wasting figurative energy
