Mental Gymnastics from Beyond the Edge
Clifford A. Pickover
The tests devised by enigmatic Dr Oz to assess human intelligence will tease the brain of even the most avid puzzle fan. Test your wits on a host of mathematical topics: geometry and mazes, sequences, series, sets, arrangements, probability and misdirection, number theory, arithmetic, and even several problems dealing with the physical world. With numerous illustrations, this is an original, fun-filled, and thoroughly unique introduction to numbers and their role in creativity, computers, games, practical research, and absurd adventures that teeter on the edge of logic and insanity. The Mathematics of Oz will have you squirming in frustration and begging for more.Table of Contents
Travel Guide
Preface
Introduction
1. The Yellow-brick Road
2. Animal Array
3. An Experiment with Kansas
4. An Experiment with Signs
5. The Logic of Greenness
6. Magical Maze
7. Kansas Railway Contraction
8. The Problem of the Bones
9. Square Overdrive
10. Squares and Cubes
11. Plex's Matrix
12. Chaos at the Clock Factory
13. The Upsilon Configuration
14. Bone Toss
15. Animal Farm Courthouse
16. Omega Sphere
17. Leg Bone Shatter Produces Triangle
18. Z-Bar Ranch
19. Mystery of Phasers
20. Salty Number Cycle
21. Where are the Composites?
22. Brain Trip
23. The Gaps of Omicron
24. Hutchinson Problem
25. Flint Hill Series
26. Wacky Tiles
27. Toto Clone Puzzle
28. Legions' Number
29. The Problem of the Tombs
30. Plex's Tiles
31. Phasers on Targets
32. The Chamber of Death and Despair
33. Zebra Irrationals
34. Creatures in Resin
35. Prime-poor Equations
36. Number Satellite
37. Flatworm Math
38. Regolith Paradox
39. сУУСССУУУУ
40. Entropy
41. Animal Gap
42. Arranging Alien Heads
43. Ramanujan Congruences and the Quest for Transcendence
44. Getting Noticed
45. Juggler Numbers
46. Friends from Mars
47. Phi in Four 4s
48. On Planet Zyph
49. The Jellyfish of Europa
50. Archeological Dissection
51. The Gamma Gambit
52. Robot Hand Hive
53. Ramanujan and the Quattuordecillion
54. Lunatic Ferris Wheel
55. The Ultimate Spindle
56. Prairie Artifact
57. Alien Pellets
58. The Beauty of Polygon Slicing
59. Cosmic Call
60. Knight Moves
61. Sphere
62. Potawatomi Target
63. Sliders
64. Swapping
65. Triangle Dissection
66. A Simple Code
67. Heterosquare
68. Insertion
69. Missing Landscape
70. The Choice
71. Animal Selection
72. The Skeletal Men of Uranus
73. Hindbrain Stimulation
74. The Arrays of Absolution
75. Trochophore Abduction
76. The Dream Pyramids of Missouri
77. Mathematical Flower Petal
78. Blood and Water
79. Cavern Problem
80. Three Triplets
81. Oos and Oob Gambit
82. Napiform Mathematics
83. Toto, Mr. Plex, Elephant
84. Witch Overdrive
85. What is Art?
86. Wendy Magic Square
87. Heaven and Hell
88. The Stars of Heaven
89. Vacation in the Tarantula Nebula
90. Hot Lava
91. Circular Primes
92. The Truth About Cats and Dogs
93. Disc Mania
94. N2+m2=s
95. 2, 271, 2718281
96. Android Watch
97. Knight Moves
98. Pool Table Gambit
99. A Connection Between Pi and e
100. Venusian Number Bush
101. Triangle Cave
102. Rat Attack
103. The Scarecrow Formula
104. Circle Math
105. A, AB, ABA
106. Ants and Cheese
107. The Omega Crystal
108. Attack of the Undulating Undecamorphs
Epilog
Further Exploring
For Further Reading
The index will give you more ideas about some of the topics covered.
antimagic squares, 324
augmented primes, 330
blood and water, 166
bones, 21-22, 34-35, 40-41
Borwein, Peter, 284-285
Brill, Bob, 325
Caldwell, Chris, 272-274
Champernowne's number, 283-284
cheese, 223
circles, 25, 219-220, 341
circular primes, 190-191, 330
clocks, 29-30
composite numbers, 49-50, 79-82, 263
congruneces, Ramanujan, 97-100
Connell numbers, 88-89, 294
Continued fractions, 284
Cookson Hills series, 268
Copeland-ErdЖs constant, 284
cosine law, 256-257
Crump, Joe, 250
cubes, 26
De Geest, Patrick, 330
Descartes, RenИ, 341
Devlin, Keith, 330
Dockery, Daniel, 290
Drake, Frank, 59
Dubner, Harvey, 273
Dumas, Stephane, 135-137
Dutil, Yvan, 135-137
e (number) 206-208, 289, 321, 333, 337-338
Earls, Jason, 278, 287, 338
entropy, 90-92
Euler, Leonard, 289
EulerNet project, 251
exclusionary squares, 251
expected value, 244
Factorial, 65
primes, 272
Farris, Frank, 125-126, 311
ferris wheel, 124-125
Fibonacci numbers, 45-46, 261, 339
flatworm math, 84-85
Flint Hills Series, 57-58
fractals, 220, 286, 342
Gaps of Omicron, 53-54
Gauss, Carl, 262
geometry, 5, 10, 21, 34, 38, 40, 42, 53, 109, 115,
124, 127, 132, 140, 146, 176, 186, 199, 217, 219, 223
God's formula, 206
golden ratio, 109-110, 305
googol, 123
greenness, 15-16
Hailstone numbers, 103, 304
harmonic mean, 246
heterosquares, 149-150
insect senses, 301
irrational numbers, 74, 250, 277
Israel, Robert, 278
JЖrgenson, Loki, 284-285
Juggler numbers, 102-105
knight moves, 138-139, 201-203
Lakhtakia, Akhlesh, 294
law of cosines, 256-257
leaning bricks, 236-237
Legion's Number, 64-65
lissajous curves, 176-178, 324-325
magic squares, 150, 173, 183, 325, 327
mazes, 17-18, 29, 32, 36, 51, 55, 81, 107, 113,
119, 138, 174, 184, 201, 204, 211, 214
mean value, 243
mean, harmonic, 246
Meyerson, Mark, 128, 313
Meyrignac, Jean-Charles, 252
number theory, 100, 109, 330
numbers, Legion's, 64-65
Champernowne's, 283-284
composite, 49-50,79-82
Connell, 88-89, 294
Copeland-ErdЖs, 284
cube, 24
Fibonacci, 45-46, 261
Hailstone, 103
irrational, 74, 250, 277
Juggler, 102-105
obstinate, 330
polygonal, 226-228
polymorphic, 344-346
prime, 79-82, 190-191, 289-290, 315, 327, 330
rational, 249, 265
square, 24-26
transcendental, 250
visualizing, 285-286
Zebra, 74-75
obstinate numbers, 330
omega sphere, 38-39
omega crystal, 225
omicron gaps, 53-54
Ono, Ken, 297
partitions, 94-95
permutable primes, 330
phasers, 44-45
phi, 109-110, 305
physical world, 5, 10, 19, 90,101,102,166, 214
pi, 206-208, 266, 277, 284-285, 332-333, 337-338
Plank, Darrell, 248, 265, 267, 272
polygon slicing, 132-134
polygonal numbers, 226-228
polymorphic numbers, 344-346
Pool table, 204-206
Poonen, Bjorn,134
prime numbers, 79-82, 190-191, 289-290, 315, 327, 330
augmented, 330
circular, 190-191, 330
factorial, 272
permutable, 330
theorem, 262
primorial, 273
twin, 263
Primorial, primes, 273
probability, 71, 70, 189, 261, 276, 318, 321, 329
railway, 19-20
Ramanujan congruences, 97-100
Ramanujan formula, 310
random variable, 244
rational numbers, 249, 265
rats, 214-216
root mean square, 246
Rubinstein, Michael, 134
Rumplestilskin sequence, 287
Sagan, Carl, 277
scarecrow formula, 217-218
sequences, 88
Rumplestilskin, 287
series 57-58, 225,265-266, 344
geometric, 260
Sery, Robert, 290
SETI, 135-137
sieve of Eratosthenes, 262
signals (alien), 135-137
signs, 13-14
Smith, Harry, 282, 302-303, 332
sphere, Omega, 38-39
sphere problem, 140
spindle, 127-128
squares, 24-27
exclusionary, 251
tridigital, 250
Squarion, 25
Stong, Robert, 249
tetrahedron, 268
tombs, 66
transcendental numbers, 250
triangle inequality theorem, 259
triangles, 40-41, 146-147, 218, 259, 319
tridigital squares, 250
twin primes, 263
undecamorphs, 226-228
undulation, 226-228, 338
upsilon configuration, 32-33
visualizing numbers, 285-286
Weaver, Rhiannon, 297
yellow-brick road, 5-6
zebra numbers, 74-75
I ran across this web page advertising this book that you can order on Amazon and was like saying to myself, are you kidding me? Just reading the index and table of contents should give someone a clue on what this book is about!! Geesh! Is this book for those "Alters" that are programmed to be obsessive/compulsive with mathematics or puzzles?
I have no clue other then my mouth hitting the keyboard in awe of unbelievability that this even exists! Incase your wondering why I am going off my nut here, The Wizard of Oz books were used for Monarch Mind Control programs run by the CIA/Illuminati spooks.
Here is a quote from the Monarch Mind Control book by Springmeier:
The history behind the Wizard of Oz programming is interesting. It suggests that the Wizard of Oz has had an important part in the occult world all along. One of the secrets of the Mystery Religions, especially the Egyptian Isis mystery religion was the ability to use drugs and torture
to create multiple personalities. The word Oz is known to have been used by its author as an abbreviation for Osirus. Monarch victims have the "golden penis of Osirus" placed into them.
The Grimm brothers, who were cabalistic jews, gathered the folk occult stories together. Their stories are full of spells, trances, and drugs. Sleeping Beauty is put to sleep, and the trigger to wake her is a kiss on the lips. These are serious hints that the occult world didn't stop programming people with dissociative states and triggers when the ancient Egyptian empires fell. Instead of using modern lingo such as "hypnotize", they would say "cast a spell." Later in Freemasonry, the Right Worshipful Master would "charge" (meaning hypnotize) an initiate.
The occultist Baum, a member of the Theosophical Society, was inspired by some spirit who gave him the "magic key" to write the Wizard of Oz book, which came out in 1900. The book's story is full of satanic activity and satanic thinking. The story was chosen in the late 1940s to be the basis for the Illuminati/Intelligence community's trauma-based total mind control programming. Frank Baum The man who wrote the book The Wizard of Oz was a member of the Theosophical Society. L. Frank Baum lived in South Dakota and created The Wizard of Oz book as a theosophical fairy tale incorporating the "ancient wisdom" of the Mystery Religions. The books have so much material from inside the secret world of the Illuminati, that
the few who understand the Illuminati wonder if Baum wasn't an insider.
L. Frank Baum explained how he came to write the book, "It was pure inspiration....It came to me right out of the blue. I think that sometimes the Great Author has a message to get across
and He has to use the instrument at hand. I happened to be that medium, and I believe the magic key was given me to open the doors to sympathy and understanding, joy, peace and happiness." (Hearn, Michael P. ed., The Annotated Wizard of Oz. NY: Clarkson N. Potter, 1973, p. 73.) In Baum's time, the head of the Theosophical Society, H.P. Blavastsky had been putting out her journal called Lucifer. In other words, I highly suspect Baum knew what the Theosophical Society was all about, and that he himself was deeply into the occult. The book The Wizard of Oz came out in 1900. (It wasn't until 1939 that the movie was made.) This
next section will cover the numerous parallels between the Wizard of Oz material and the occult world and the occult world's programming.
Auntie Em represents HP Blavastsky's "Mulaprakriti" and Uncle Henry represents HPB's "Unmanifested Logos". The carnival huckster (later seen as the Wizard) is advertised as being connected to the royal families of Europe. The Royal families of Europe are secret Satanists, from powerful occult bloodlines. Dorothy is brought to Oz by a cyclone. The word cyclone originally was the greek word cyclone which means both a circle or the coil of a snake. In other words, the snake takes Dorothy to Oz. Dorothy's three companions represent the mental, emotional, and physical bodies that HPB wrote about. Dorothy acquired these three
companions just as Theosophy says we will when we come into incarnation. To quote HPB "There is no danger that dauntless courage cannot conquer; there is not trial that spotless purity cannot pass through; there is no difficulty that strong intellect cannot surmount."
(Algeo, John. "The Wizard of Oz: The Perilous Journey", The Quest, Summer 1993. Wheaton, Il.: Theosophical Society in Amer.,p. 53.)
In the book, the Tin Woodsman was an ordinary being of flesh, but a wicked witch casts a spell on him. He kept chopping off parts of his body, which were then replaced by a tinsmith, until he became the first bionic man, with a completely mechanic body. Boy, hasn't the Illuminati been trying to do this one!?
In step with Wizard of Oz mind-control programming, the wicked witch & naughty children cannot stand water but dissolve. Robotic clones are created in the minds of Monarch slaves which can only be mentally dissolved by mentally placing water on them. Dorothy goes questing in Oz. Theosophists (New Agers, Satanists, etc.) go on quests.
Oz is shaped like a Mandala with Emerald City in the center, an impassable barrier, four-sidedness, 4 symbolic colors, the circle and the center. The colors and directions given in Oz may also have other symbolic meanings in the occult. For instance, Emerald City is green and green is the fourth point of the Eastern Star (women's Freemasonry) & Satan's color. A The route that Dorothy follows in Oz has the shape of a T with its 3 points defining an inverted triangle.
The Yellow Brick Road suggests gold, the perfect metal. Gold is considered to be divine & the source of wisdom by the Illuminati. HPB had written "There is a Road, steep and thorny, beset with perils of every kind, but yet a Road, and it leads to the very heart of the universe." This
was the yellow brick road that Baum the Theosophist sought to portray in his fairy tale. The book contains a great deal more perils and adventures on the road than the movie.
The article shows that the great teacher is a humbug but Dorothy and her own companions have the abilities to help themselves if they only will realize their own powers through the help of the good witch of the south. This is in line with the Theosophical Society's, the Church of Satan's, and other occult groups Page 102 .... teachings which teach that the individual has the capabilities within themselves to achieve anything. One of the Theosophical Society's publications states, "Prepare thyself, for thou wilt have to travel on alone. The teacher can but point the way." ("The Voice of Silence" as quoted in "The Wizard of Oz" article, Quest,
Summer, 1993 p. 54.) Part of the mind set of Satanism is that reality and fantasy become blurred. This blurring has been part of the brainwashing that is being systematically given to American children. Within Monarch slaves they have an incredibly difficult time trying to differentiate between reality and fantasy because of all the mind programming they have been subjected too. There are several techniques which will determine for Monarch survivors if their memories are real. In the board game called Illuminati!, put out by people connected to the Illuminati, the game states, "Don't believe any of this, it is all true."
These are the type of double-bind self contradictory statements that Satanists love to spew out. Monarch slaves are programmed full of double-binds. With the Satanist's penchant for blurring reality in mind, read the following quote where the President of the Theosophical Society admiringly describes the Wizard of Oz, "Part of Baum's joke is that things are never what they seem. Dorothy seems to be a simple and harmless little girl, but it is she who kills the wicked witches of both East and West. The Scarecrow seems to lack brains, but he has all the ideas in the company. The Tin Woodman seems to lack a heart, but he is so full of sentiment that he is always weeping. The Cowardly Lion seems to be a coward, but he takes brave action whenever it is called for. The Wizard seems to be great and powerful, but he is actually a humbug. Oz seems to be a glorious and delightful land and Kansas to be dry, gray, and dull-- but Oz is a world of illusion and Kansas is really home. Things are not what they seem, in Oz or Kansas."
This is from Springmeier's book The Illuminati Formula Used To Create An Undetectable Total Mind Controlled Slave. You may not agree with his "spiritual" points of view, but the evidence from several sources that have been investigating the Illuminati/CIA Mind Control Program should be re-examined. We've been wondering about all these "OZ" subliminals and synchro's, could it be they put them there to soften our subconscious? Are they there to effect the Mind Control Slaves out there that are living amongst the masses? Do they bring out alters within these people? All relevant questions that needs answers. Or is is sheer coincidence we are seeing any references to Oz in different mediums? Who knows, but when you have 13 bloodlines that have branched out into all areas of the globe, there may be multiple agendas indeed!
Be wise as serpents folks!
~~peace & wisdom to all!~~
I have no clue other then my mouth hitting the keyboard in awe of unbelievability that this even exists! Incase your wondering why I am going off my nut here, The Wizard of Oz books were used for Monarch Mind Control programs run by the CIA/Illuminati spooks.
Here is a quote from the Monarch Mind Control book by Springmeier:
The history behind the Wizard of Oz programming is interesting. It suggests that the Wizard of Oz has had an important part in the occult world all along. One of the secrets of the Mystery Religions, especially the Egyptian Isis mystery religion was the ability to use drugs and torture
to create multiple personalities. The word Oz is known to have been used by its author as an abbreviation for Osirus. Monarch victims have the "golden penis of Osirus" placed into them.
The Grimm brothers, who were cabalistic jews, gathered the folk occult stories together. Their stories are full of spells, trances, and drugs. Sleeping Beauty is put to sleep, and the trigger to wake her is a kiss on the lips. These are serious hints that the occult world didn't stop programming people with dissociative states and triggers when the ancient Egyptian empires fell. Instead of using modern lingo such as "hypnotize", they would say "cast a spell." Later in Freemasonry, the Right Worshipful Master would "charge" (meaning hypnotize) an initiate.
The occultist Baum, a member of the Theosophical Society, was inspired by some spirit who gave him the "magic key" to write the Wizard of Oz book, which came out in 1900. The book's story is full of satanic activity and satanic thinking. The story was chosen in the late 1940s to be the basis for the Illuminati/Intelligence community's trauma-based total mind control programming. Frank Baum The man who wrote the book The Wizard of Oz was a member of the Theosophical Society. L. Frank Baum lived in South Dakota and created The Wizard of Oz book as a theosophical fairy tale incorporating the "ancient wisdom" of the Mystery Religions. The books have so much material from inside the secret world of the Illuminati, that
the few who understand the Illuminati wonder if Baum wasn't an insider.
L. Frank Baum explained how he came to write the book, "It was pure inspiration....It came to me right out of the blue. I think that sometimes the Great Author has a message to get across
and He has to use the instrument at hand. I happened to be that medium, and I believe the magic key was given me to open the doors to sympathy and understanding, joy, peace and happiness." (Hearn, Michael P. ed., The Annotated Wizard of Oz. NY: Clarkson N. Potter, 1973, p. 73.) In Baum's time, the head of the Theosophical Society, H.P. Blavastsky had been putting out her journal called Lucifer. In other words, I highly suspect Baum knew what the Theosophical Society was all about, and that he himself was deeply into the occult. The book The Wizard of Oz came out in 1900. (It wasn't until 1939 that the movie was made.) This
next section will cover the numerous parallels between the Wizard of Oz material and the occult world and the occult world's programming.
Auntie Em represents HP Blavastsky's "Mulaprakriti" and Uncle Henry represents HPB's "Unmanifested Logos". The carnival huckster (later seen as the Wizard) is advertised as being connected to the royal families of Europe. The Royal families of Europe are secret Satanists, from powerful occult bloodlines. Dorothy is brought to Oz by a cyclone. The word cyclone originally was the greek word cyclone which means both a circle or the coil of a snake. In other words, the snake takes Dorothy to Oz. Dorothy's three companions represent the mental, emotional, and physical bodies that HPB wrote about. Dorothy acquired these three
companions just as Theosophy says we will when we come into incarnation. To quote HPB "There is no danger that dauntless courage cannot conquer; there is not trial that spotless purity cannot pass through; there is no difficulty that strong intellect cannot surmount."
(Algeo, John. "The Wizard of Oz: The Perilous Journey", The Quest, Summer 1993. Wheaton, Il.: Theosophical Society in Amer.,p. 53.)
In the book, the Tin Woodsman was an ordinary being of flesh, but a wicked witch casts a spell on him. He kept chopping off parts of his body, which were then replaced by a tinsmith, until he became the first bionic man, with a completely mechanic body. Boy, hasn't the Illuminati been trying to do this one!?
In step with Wizard of Oz mind-control programming, the wicked witch & naughty children cannot stand water but dissolve. Robotic clones are created in the minds of Monarch slaves which can only be mentally dissolved by mentally placing water on them. Dorothy goes questing in Oz. Theosophists (New Agers, Satanists, etc.) go on quests.
Oz is shaped like a Mandala with Emerald City in the center, an impassable barrier, four-sidedness, 4 symbolic colors, the circle and the center. The colors and directions given in Oz may also have other symbolic meanings in the occult. For instance, Emerald City is green and green is the fourth point of the Eastern Star (women's Freemasonry) & Satan's color. A The route that Dorothy follows in Oz has the shape of a T with its 3 points defining an inverted triangle.
The Yellow Brick Road suggests gold, the perfect metal. Gold is considered to be divine & the source of wisdom by the Illuminati. HPB had written "There is a Road, steep and thorny, beset with perils of every kind, but yet a Road, and it leads to the very heart of the universe." This
was the yellow brick road that Baum the Theosophist sought to portray in his fairy tale. The book contains a great deal more perils and adventures on the road than the movie.
The article shows that the great teacher is a humbug but Dorothy and her own companions have the abilities to help themselves if they only will realize their own powers through the help of the good witch of the south. This is in line with the Theosophical Society's, the Church of Satan's, and other occult groups Page 102 .... teachings which teach that the individual has the capabilities within themselves to achieve anything. One of the Theosophical Society's publications states, "Prepare thyself, for thou wilt have to travel on alone. The teacher can but point the way." ("The Voice of Silence" as quoted in "The Wizard of Oz" article, Quest,
Summer, 1993 p. 54.) Part of the mind set of Satanism is that reality and fantasy become blurred. This blurring has been part of the brainwashing that is being systematically given to American children. Within Monarch slaves they have an incredibly difficult time trying to differentiate between reality and fantasy because of all the mind programming they have been subjected too. There are several techniques which will determine for Monarch survivors if their memories are real. In the board game called Illuminati!, put out by people connected to the Illuminati, the game states, "Don't believe any of this, it is all true."
These are the type of double-bind self contradictory statements that Satanists love to spew out. Monarch slaves are programmed full of double-binds. With the Satanist's penchant for blurring reality in mind, read the following quote where the President of the Theosophical Society admiringly describes the Wizard of Oz, "Part of Baum's joke is that things are never what they seem. Dorothy seems to be a simple and harmless little girl, but it is she who kills the wicked witches of both East and West. The Scarecrow seems to lack brains, but he has all the ideas in the company. The Tin Woodman seems to lack a heart, but he is so full of sentiment that he is always weeping. The Cowardly Lion seems to be a coward, but he takes brave action whenever it is called for. The Wizard seems to be great and powerful, but he is actually a humbug. Oz seems to be a glorious and delightful land and Kansas to be dry, gray, and dull-- but Oz is a world of illusion and Kansas is really home. Things are not what they seem, in Oz or Kansas."
This is from Springmeier's book The Illuminati Formula Used To Create An Undetectable Total Mind Controlled Slave. You may not agree with his "spiritual" points of view, but the evidence from several sources that have been investigating the Illuminati/CIA Mind Control Program should be re-examined. We've been wondering about all these "OZ" subliminals and synchro's, could it be they put them there to soften our subconscious? Are they there to effect the Mind Control Slaves out there that are living amongst the masses? Do they bring out alters within these people? All relevant questions that needs answers. Or is is sheer coincidence we are seeing any references to Oz in different mediums? Who knows, but when you have 13 bloodlines that have branched out into all areas of the globe, there may be multiple agendas indeed!
Be wise as serpents folks!
~~peace & wisdom to all!~~
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