Imagine a guy figures out that the geometry he learned in school was not nature's geometry. Buckminster Fuller did that. He called nature's geometry "synergetics," to distinguish it, maybe, from the wrong-headed ancient mathematicians.
NASA's construction of the International Space Station is based on this, using his invention, the octet truss. Quick quiz: 1) Looking at the sky, what direction is the moon? 2) On the moon, looking at the sky, what direction is earth? Bucky informs us that there's no "up" or "down" in Universe.
He was a most original thinker, and Fuller's Earth is the best introduction to his mind-altering ideas. Richard J. Brenneman deserves a lot of credit. He gives the reader a transcript of Fuller explaining his "explorations in the geometry of thinking" (Fuller maintained that thought has shape.) to three youngsters, and then answering questions they put to him.
If you want more, other books by Fuller himself include Intuition; And it Came to Pass, Not to Stay; and I Seem to Be a Verb. R. Buckminster Fuller was known as the planet's friendly genius. I cannot recommend Fuller's Earth highly enough.