I describe a mathematician's solution to a wobbly cafe table with a splash about 3 bladed windmills. Additional Readings and sources:Intermediate Value Theorem: https://en.wikipedia.org/wiki/Intermediate_value_theoremHistory of Wobbly table theorem:https://www.maa.org/external_archive/devlin/devlin_02_07.htmlHarvard's explanation of WTT:http://www.math.harvard.edu/~knill/teaching/math1a_2011/exhibits/wobblytable/Wobbly Table Mathologer Video:https://www.youtube.com/watch?v=aCj3qfQ68m0&tWobbly Table Numberphile Video:https://www.youtube.com/watch?v=OuF-WB7mD6kCatastrophic windmill due to speed increase:https://youtu.be/wfzgIxMEo8g?t=27Windmills explained in video great explanation by a great channel: https://www.youtube.com/watch?v=RNPIRfxUTQ4