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Can-we-expand-the-Descartes-Theorem-to-more-than-4-circles-




Question Number 214936 by TonyCWX08 last updated on 24/Dec/24
Can we expand the Descartes′ Theorem to more than 4 circles?
$${Can}\:{we}\:{expand}\:{the}\:{Descartes}'\:{Theorem}\:{to}\:{more}\:{than}\:\mathrm{4}\:{circles}? \\ $$
Commented by GDVilla last updated on 24/Dec/24
I think not
$$\mathrm{I}\:\mathrm{think}\:\mathrm{not} \\ $$$$ \\ $$
Commented by mr W last updated on 25/Dec/24
it′s just impossible that there exist  5 (or more) circles which touch each  other!
$${it}'{s}\:{just}\:{impossible}\:{that}\:{there}\:{exist} \\ $$$$\mathrm{5}\:\left({or}\:{more}\right)\:{circles}\:{which}\:{touch}\:{each} \\ $$$${other}! \\ $$

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