Wonders of Numbers

Chapter 2. Why Don't We Use Roman Numerals Anymore?
Chapter 16. Jerusalem Overdrive
Chapter 17. The Pipes of Papua
Chapter 22. Klingon Paths (C code)
Chapter 22. Klingon Paths (BASIC code)
Chapter 49. Hailstone Numbers
Chapter 50. The Spring of Khosrow Carpet

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Chapter 51. The Omega Prism

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Chapter 53. Alien Snow: A Tour of Checkerboard Worlds
Chapter 54. Beauty, Symmetry, and Pascal's Triangle
Chapter 56. Dr. Googol's Prime Plaid
Chapter 62. Triangular Numbers
Chapter 63. Hexagonal Cats

Note: Joseph F. Pycior from San Jose, California writes, "I converted the polygonal number program to Fortran, and found it ironic that I had to use floating point numbers to produce the polygonal numbers, because integers were inadequate. I computed as high as 11-sided polygons and was amazed the numbers didn't become large as fast as I expected."

Chapter 64. The X-Files Number
Chapter 66. The Hunt for Elusive Squarions (example 1)
Chapter 66. The Hunt for Elusive Squarions (example 2)
Chapter 68. Pentagonal Pie
Chapter 71. Mr. Fibonacci's Neighborhood
Chapter 73. The Wonderful Emirp, 1597
Chapter 83. Princeton Numbers
Chapter 83. The Leviathan Number (C code)
Chapter 83. The Leviathan Number (BASIC code)
Chapter 85. The Aliens in Independence Day (BASIC code)
Chapter 85. The Aliens in Independence Day (C code)
Chapter 88. The Latest Gossip on Narcissistic Numbers
Chapter 88. Loneliness of the Factorions (Vymenets)

Note: Youry Vymenets from St.Petersburg University, Russia says, "I'm afraid the factorions (F) will be lonely forever. This is sad, but a lot of people rest alone throughout their entire life without even a single companion...." He goes on to prove his statement (about factorions, not about life), and has given Dr. Googol permission to reproduce his C code for brute-force search of F. The C program searches all numbers less than 108. The program works for several minutes and yields only the two known multi-digit factorions.

Chapter 88. Loneliness of the Factorions (Bronnimann)

Note: Herve Bronninan from Princeton University has also conducted research in the existence of factorions. The above is his C code for searching for such numbers.

Chapter 89. The abcdefgh Problem
Chapter 94. Perfect Numbers
Chapter 94. Amicable Numbers
Chapter 96. Cards, Frogs, and Fractal Sequences
Chapter 96. BASIC Program to Compute Batrachions
Chapter 99. Everything You Wanted to Know About Triangles But Were Afraid to Ask
Chapter 99. Triangles that Pray
Chapter 100. Cavern Genesis as a Self-Organizing System

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Chapter 102. Fabergé Eggs Synthesis (No Source Code)

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Chapter 103. Beauty and Gaussian Rational Numbers (No Source Code)

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Chapter 123. Zen Archery

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