Readers should be familiar with high school algebra, plane and analytic geometry, and trigonometry. While brief appearances of calculus do occur, no knowledge of calculus is necessary to enjoy this book.

The authors hope that both secondary school and college and university teachers will use portions of it as an introduction to solid geometry, as a supplement in problem solving sessions, as enrichment material in a course on proofs and mathematical reasoning, or in a mathematics course for liberal arts students.

Preface

1. Introduction

2. Enumeration

3. Representation

4. Dissection

5. Plane sections

6. Intersection

7. Iteration

8. Motion

9. Projection

10. Folding and Unfolding

Solutions to the Challenges

References

Index

About the Authors

### About the Authors

**Claudi Alsina** was born 30 January 1952 in Barcelona, Spain. He received his BA and PhD in mathematics from the University of Barcelona. His post-doctoral studies were at the University of Massachusetts, Amherst. Claudi, Professor of Mathematics at the Technical University of Catalonia, has developed a wide range of international activities, research papers, publications and hundreds of lectures on mathematics and mathematics education. His latest books include *Associative Functions: Triangular Norms and Copulas* with M. J. Frank and B. Schweizer, WSP, 2006; *Math Made Visual* (with Roger Nelsen) MAA, 2006; *Vitaminas Mathemáticas and El Club de la Hipotenusa*, Ariel, 2008, *Geometria para Turistas*, Ariel, 2009; *When Less is More* (with Roger Nelsen) MAA, 2009; *Asesinatos Matematicos*, Ariel, 2010; *Charming Proofs* (with Roger Nelsen) MAA, 2010; and* Icons of Mathematics* (with Roger Nelsen) MAA, 2011.

**Roger B. Nelsen** was born in Chicago, Illinois. He received his BA in mathematics from DePauw University in 1969. Roger was elected to Phi Beta Kappa and Sigma Xi, and tAught mathematics and statistics at Lewis & Clark College for forty years before his retirement in 2009. His previous books include *Proof Without Words*, MAA, 1993; *An Introduction to Copulas*, Springer, 1999 (2nd ed. 2006); *Proofs Without Words II*, MAA, 2000; *Math Made Visual* (with Claudi Alsina), MAA, 2006; *When Less is More* (with Claudi Alsina), MAA, 2009; *Charming Proofs* (with Claudi Alsina), MAA 2010; *The Calculus Collection* (with Caren Diefenderfer), MAA, 2010; *Icons of Mathematics* (with Claudi Alsina), MAA, 2011; and* College Calculus* (with Michael Boardman), MAA, 2015.