A dodecahedral device interfaces with the outside world by plugging into a pentagonal socket. All faces work with any of the 5 rotations of a face. There are therefore a total of 60 interfaces (icosahedral symmetry), one for each fifth of a face. Make them all redundant, because the interface is often the most fragile part of a device, so having many copies is good.
Motivation is the transfer interface of a highly reliable data storage device.
Less elegantly, it could simply have many ports (even more than 60), perhaps arranged on a grid on a face, each to which a cable may be connected, e.g., KVM.
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