After finishing up calculus and differential equations taking real analysis was a trip! Basically opening up the box that is calculus and seeing why taking the derivative of a function means dropping the exponent and so much more. It frequently dealt with infinity and we went from writing long equations to solving word problems involving infinite doors. It was great
I think it is more than that, the shower is a proper refuge where external stimuli is severely limited. Sounds are limited by the running water, temperature is controlled by the water, visuals are limited, and no one is generally barging in.
When I was studying math at University I had a remarkable number of eureka moments in the shower where suddenly infinity made sense. Smart phones didn’t really exist then but showers still held power as a great place to think
No need at all