Ronald Wendel

This book is full of examples on how to construct and extend the points presented. Each chapter stands on its own, with the intent that the book can be read for fun. And with the ideas presented, the reader can enhance their mathematical experience, and even make up mathematical experiments on their own (And remember, one doesn’t need safety glasses to do experiments in mathematics, and the lab coat is optional). Finally, in the spirit of this recursive adventure, the Introduction to the book ends with the beginning of this recursive tale: “It was a dark and stormy night. The rain came down in torrents. The wind blew gigantic swells over the sides of the ship. The captain turned to Antonio and said, “Antonio, tell us a story.” And he began: “It was a dark and stormy night. The rain came down in torrents. The wind blew gigantic swells… “… and what we heard…, no, what we experienced that night was remarkable. Patterns appeared and disappeared and then reappeared. There was organization within chaos, and symmetry within these recurring relationships; indeed, it was more than we had ever dreamed, yet it was just the

Sierpiński Square

Pascal Triangle

3

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