I got this book based on the New Scientist review (also.) Such an entertaining style! I especially like those humble little hand-drawn illustrations. I had to crawl over to the computer and try to type out this quick remark while tears of laughter are still streaming down my face. Into vector geometry in the later chapters author Ellenberg just illustrated the two-dimensional vector as an arrow pointing to a pair of numbers in parentheses (the 2 coordinates.) Expanding to 3D it's that same badly-pencilled arrow pointing to THREE numbers in parentheses. I fell for it, literally. He says, "Well then, what does a TEN dimensional vector look like?" Obviously a slow learner I expected to see a hand-drawn dodecahedron or some such elaboration with maybe a starburst of fractal geometry inside. I clicked the Kindle and roared out loud, scared the cat, pounded the floor, laughing so hard, gasping and streaming. It's of course that same funny arrow, pointing to TEN numbers in the parentheses! Danger Will-Robinson! Do not read this book in public!