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List of Tables

15.1 The Warlpiri Kinship Multiplication Table . . . . . . . . . . . 292

18.1Estimated World Human Population in History . . . . . . . . 342

18.2U.S. Population According to the U.S. Census Bureau . . . . 345

19.1

Four-Child Family Model . . . . . . . . . . . . . . . . . . . .

354

19.2

Four-Child Family Model . . . . . . . . . . . . . . . . . . . .

355

19.3

Four-Child Family Model . . . . . . . . . . . . . . . . . . . .

359

19.4

Schwartz Chart for a (Simple-15) K-Child Family . . . . . . .

361

20.1

Daily Population in Each Box during Epidemic . . . . . . . .

396

xiii

List of Figures

1.1

Filters between You and Nature . . . . . . . . . . . . . . . . .

10

1.2

Street Grids . . . . . . . . . . . . . . . . . . . . . . . . . . . .

14

1.3

Hubbert’s Peak for U.S.A. . . . . . . . . . . . . . . . . . . . .

17

1.4

Carbon Dioxide Concentration in the Atmosphere (1744–2005)

24

4.1

CFC-Ozone Smoking Gun Graph . . . . . . . . . . . . . . . .

97

8.1

Diagram of a Syllogism . . . . . . . . . . . . . . . . . . . . .

187

8.2The Fuzzy Boundary between Inside and Outside . . . . . . . 189

8.3Two Curves Close in Distance but Not in Length . . . . . . . 199

10.1Square Numbers of the Ancient Greeks . . . . . . . . . . . . . 225

10.2Pattern of Boxes (Not Dots) . . . . . . . . . . . . . . . . . . . 227

10.3Triangular Numbers of the Ancient Greeks . . . . . . . . . . . 228

10.4Connect the Dots . . . . . . . . . . . . . . . . . . . . . . . . . 236

11.1

Periodic Table . . . . . . . . . . . . . . . . . . . . . . . . . .

253

13.1

 

 

269

A “Picture” of −1 . . . . . . . . . . . . . . . . . . . . . . .

13.2Which Way Did the Bicycle Go? . . . . . . . . . . . . . . . . 272

13.3Three Equilateral Triangles . . . . . . . . . . . . . . . . . . . 276

14.1

Graphs of Some Relations in the Plane . . . . . . . . . . . . .

286

15.1

Warlpiri Kinship Relation Rules . . . . . . . . . . . . . . . .

291

15.2

Isometries of a Square . . . . . . . . . . . . . . . . . . . . . .

301

16.1

Counting Two-Digit Social Security Numbers . . . . . . . . .

306

16.2

Opening Your Gym Locker . . . . . . . . . . . . . . . . . . .

311

16.3

Two Cities . . . . . . . . . . . . . . . . . . . . . . . . . . . .

314

16.4

Three Cities . . . . . . . . . . . . . . . . . . . . . . . . . . . .

314

16.5

Soap Bubble Roads in Two Dimensions . . . . . . . . . . . .

315

17.1There are 12 Permutations in One Equivalence Class . . . . . 328

17.2Discrete Random Walk . . . . . . . . . . . . . . . . . . . . . . 333

17.3 Pascal’s Triangle . . . . . . . . . . . . . . . . . . . . . . . . . 334 19.1 Total Population vs. Time . . . . . . . . . . . . . . . . . . . . 356

xv

xvi

List of Figures

19.2Log to Base 10 of Total Population vs. Time

19.3One Box Model of World’s Human Population

. . . . . . . . .

360

. . . . . . . .

379

20.1Impossible (in the long term): It Violates the Law! . . . . . . 381

20.2Inevitable: It’s the Law! . . . . . . . . . . . . . . . . . . . . . 381

20.3Food–Sewage–Food Cycle . . . . . . . . . . . . . . . . . . . . 383

20.4No Recycling . . . . . . . . . . . . . . . . . . . . . . . . . . . 388

20.5Recycling Increases Production . . . . . . . . . . . . . . . . . 389

20.6Box-Flow Diagram of an Influenza Epidemic . . . . . . . . . . 393

20.7Daily Population of the Infected and Dead during Epidemic . 397

21.1 Boxes for Organizing Calculations . . . . . . . . . . . . . . . 404

25.1Circulatory System of the Human Economy . . . . . . . . . . 460

25.2Human Economic System with a Digestive Tract . . . . . . . 461

25.3Seeing Nature over the Dollar . . . . . . . . . . . . . . . . . . 469

27.1Financial Wealth and Real Wealth . . . . . . . . . . . . . . . 488

27.2The Gini Index . . . . . . . . . . . . . . . . . . . . . . . . . . 499

27.3Fish Growth and Financial Growth . . . . . . . . . . . . . . . 503

28.1 A Fuzzy Definition of Poverty . . . . . . . . . . . . . . . . . . 523

29.1Maximum Power Principle . . . . . . . . . . . . . . . . . . . . 529

29.2Basic Structure of a Steam Engine . . . . . . . . . . . . . . . 534

29.3 Two-Compartment Box . . . . . . . . . . . . . . . . . . . . . 547

29.4Binomial Distribution of Molecules . . . . . . . . . . . . . . . 549

29.5A Normal Distribution: The Bell-Shaped Curve . . . . . . . . 551

30.1 Graph of f [x] = 1504 [1 − (1 + x)−48] . . . . . . . . . . . . . 564

30.2Visualization of Iteration 1 . . . . . . . . . . . . . . . . . . . 565

30.3Visualization of Iteration 2 . . . . . . . . . . . . . . . . . . . 566

31.1

A Culturally Dependent Illusion . . . . . . . . . . . . . . . .

582

32.1

Filters between You and Nature . . . . . . . . . . . . . . . . .

586