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A Tisket, a Tasket, an Apollonian Gasket
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Dana Mackenzie
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Chapters in this book
- Frontmatter i
- Contents vii
- Foreword: Recreational Mathematics xi
- Introduction xvii
- What is Mathematics For? 1
- A Tisket, a Tasket, an Apollonian Gasket 13
- The Quest for God’s Number 27
- Meta-morphism: From Graduate Student to Networked Mathematician 35
- One, Two, Many: Individuality and Collectivity in Mathematics 43
- Reflections on the Decline of Mathematical Tables 51
- Under-Represented Then Over-Represented: 55
- Did Over-Reliance on Mathematical Models for Risk Assessment Create the Financial Crisis? 67
- Fill in the Blanks: 75
- The Great Principles of Computing 82
- Computer Generation of Ribbed Sculptures 93
- Lorenz System Offers Manifold Possibilities for Art 115
- Celebrating Mathematics in Stone and Bronze 150
- Mathematics Education 169
- Thinking and Comprehending in the Mathematics Classroom 188
- Teaching Research: Encouraging Discoveries 203
- Reflections of an Accidental Theorist 219
- The Conjoint Origin of Proof and Theoretical Physics 236
- What Makes Mathematics Mathematics? 257
- What Anti-realism in Philosophy of Mathematics Must Offer 286
- Seeing Numbers 312
- Autism and Mathematical Talent 330
- How Much Math is Too Much Math? 336
- Hidden Dimensions 347
- Playing with Matches 356
- Notable Texts 367
- Contributors 371
- Acknowledgments 379
- Credits 381
Chapters in this book
- Frontmatter i
- Contents vii
- Foreword: Recreational Mathematics xi
- Introduction xvii
- What is Mathematics For? 1
- A Tisket, a Tasket, an Apollonian Gasket 13
- The Quest for God’s Number 27
- Meta-morphism: From Graduate Student to Networked Mathematician 35
- One, Two, Many: Individuality and Collectivity in Mathematics 43
- Reflections on the Decline of Mathematical Tables 51
- Under-Represented Then Over-Represented: 55
- Did Over-Reliance on Mathematical Models for Risk Assessment Create the Financial Crisis? 67
- Fill in the Blanks: 75
- The Great Principles of Computing 82
- Computer Generation of Ribbed Sculptures 93
- Lorenz System Offers Manifold Possibilities for Art 115
- Celebrating Mathematics in Stone and Bronze 150
- Mathematics Education 169
- Thinking and Comprehending in the Mathematics Classroom 188
- Teaching Research: Encouraging Discoveries 203
- Reflections of an Accidental Theorist 219
- The Conjoint Origin of Proof and Theoretical Physics 236
- What Makes Mathematics Mathematics? 257
- What Anti-realism in Philosophy of Mathematics Must Offer 286
- Seeing Numbers 312
- Autism and Mathematical Talent 330
- How Much Math is Too Much Math? 336
- Hidden Dimensions 347
- Playing with Matches 356
- Notable Texts 367
- Contributors 371
- Acknowledgments 379
- Credits 381
