Summary Note: Gathering '4' Gardner is an inter-disciplinary "stirring of the pot": a cross-disciplinary exposure to alternate viewpoints of similar problems -- and fresh view of old problems to spur revitalization.
Rode with Prof. Claudio T. Silva of the Utah SCI Institute. Dr. Silva was traveling to the Program Committee meeting for the SIGGRAPH 2008 Conference.
Curling Numbers: XYYY...Y of the form XYk
The Traveling Salesman Problem on the Torus
Neil Sloane is the maintainer of The On-Line Encyclopedia of Integer Sequences
I had the opportunity, Saturday evening, to talk at some length with Alan Schoen. He was employed for some time at California Institute of the Arts. He took the position at SIU previously held by R. Buckminster Fuller.
The links are a bit obscure, being in Hebrew...
Freetranslation.com
doesn't do Hebrew.
Yossi Elran's presentation was on a superposition of two Greco-Roman games based on Magic Squares.
Jacobs has undertaken the task of digitally restoring Oliver Byrne's edition of Euclid's Elements in Adobe Illustrator.
Here, Scott Aaronson disproves Schor's 1994 Quantum Factoring Algorithm.
He began by invoking Stephen Wolfram's Principle of Computational Equivalence.
He mentioned an experiment I had not heard of, in which BuckyBalls exhibit wave-particle duality passing through a double-slit. I had previously only experienced this optically.
Other, interesting references with which I was not previously familiar:
Hard Unlinks and Unknots
We know the isitopy operations, but not the order of their application.
Conway Tangle Notation
Knot-Link as a Sequence Generator
See also: Neil Sloan's Encyclopedia of Sequences
Example:
Base Digits (1,2,3,4) Arithmetic Operations -> Target(8)
To transform from 4D onto 3D,
Project onto a sphere, then open the sphere into a stereographic projection.
Rubick's Hypercube -- 2x2x2x2
4-D Sculpture -- Mechanical, gear-driven, Euler-angle differential-transmission.
Add 3 copies of Euler-angle differential-transmission -- in Hypercube configuration -> through Sphere-Mapping -> Stereographic Transform -> Mechanical Quaternion Machine.
Numerology of Eight
3/28/08 (G4G8) is the 88th day of the year.
The seven-segment eight encompasses all other digits.
Beijing Olympics will open at 8:08 AM, 8/8/08
Chinese -- "ha" = prosperity
Thoth - God of Moon
8-fold way of Buddhism -- see also: Carlo Sequin
October, 8th month (Julian),
Dharma Wheel
Lee Algebra Group E-8
Improper Integrals, Gaussian, Fresnel Integrals
Smullyan is the Daily Puzzle columnist at
PianoSociety.org.
The Barber who shaves everyone in town who doesn't shave himself -- proves that
borbers don't exist.
"Only an idiot would believe this sentence!
Air on the Dirac Strings (see
George Francis).
Karl Schaffer/Mr. Stern: "Imaginary Dances"
Rebecka: "Should Mathematicians Dance?"
Michale Sklaar: "Thought is a subversive process."
George Hart:
Brunelleschi Buono Blind Psychology Documentary
Duchamp's "Coat Rack"/"Hat Rack"s -- Photographic, Rational Cubism --
Absurd objects achieved through sequential photo-compositing.
With Sara-Marie Belcastro
Josephine -- Sister of Joseph -- The Pants of many Colors
Geometric proof of generalized Star-of-David Theorems
6, 8, 12 vertices; 2n = 10? (n=5)
I experienced the same contradiction at AT&T -- and in conversation with
Lillian Schwartz.
Andrew Feuerstein in spools of thread.
Will Schwartz as NY Time Crossword.
I talked to Ken Knowlton after his talk, comparing notes on our respective
times at AT&T Bell Labs. He left in 1982. I left in 1984.
Ken said: "Read my
essays on-line
and respond with e-mail."
Algorithm: Exhaustive tree-search and classify solutions for design.
Archimedes' Square -- August, 2003 -- Vector Box-Fill algorithm.
Edi Nagata's 4-Arrow puzzle + Stewart Coffin -- Intended solutions do not
follow a grid.
BoxPoly -- A general 2-D packing program.
Throw & Jiggle -- Q: Does the program catalog and avoid failed trials?
A: No.
C. P. Snow: "Two Cultures" (1959)
Eugene Wigner on the "Unreasonable Effectiveness" of Mathematics to model Nature.
LEONARDO Books: P. Fishwick: "Aesthetic Computing"
ISAST: F. Malina, Director, NASA/JPL;
60th anniversary:
Cybernetic Serendipity
VIDA competition for artistic creativity in the field of Artificial Life,
Telefonica foundation, (Espania),
A-Life
(Conway)
Impossible lenses. Square or Hexagon, Triangle domains;
Use for CGI texture tiling
HyperChronicle -- Hyper-Thogonal Structured Web browser UI presentation.
Factories turn out rejects in centrally-planned societies.
Therefore, central planning has no place in public education.
(Education should not be public.) Alan Greenspan states this in
The Age of Turbulence. Advance only comes through competition.
Public Education has no motivation to compete.
In Central Planning, all curricula become political.
The Tri-Fold Brochure as an Artform: Welcoming, Initiative and Engaging.
Legitimation of Choosable Pathways.
Juggling Notation (presented yesterday)
Esher Tesselation in Fish.
Knot Tessellation animations -- 2-D Photoshop -- not 3D
Escher Tessellations.
Descartes Configuration
Leibnitz -> Apollonian Gasket
Integer-Valued Curvatures
Vesica Piscis
Sequence Generators
V = (4/3)π3 -> 36π
Child with the Wart puzzle
Hermione Granger and the Seven Bottles problem
"Sudokubiquitous"!
Like an inverse tiling solver
3-D extensions -- W x H x D
Cube-roots of Compass Numbers
Ultraviolet -- UK Vampire show.
Klein's Quartic in 3D from 4D
Helaman -- Petrie Paths on Klein's
Quartic.
Jane Yen (1997), Yung Shon (2002), Programs for tiling genus 0,1;
Pushkar Joshi (2007) -- Lizard Tetrus
Polyhedral frame and smooth it -- like François Apéry's
Optiverse
via
Ken Brakke's Evolver.
Four-Color Tiled Assembly in FDM.
"Raise 8 and a star will appear."
Bruce Oberg,
Sucker Punch Productions
(video game company), Bellevue, WA, I H8 8
A rebuttal -- 0100 octal
Scorpio, 8 legs, 8th sign
The Eight-Fold Way
Hirokazu Iwasawa, Yokahama, Japan,
Tricky Solutions for Integrals with Crazy, Lazy Eight
Definite Integral Puzzle Recreation
Raymond Smullyan, Magician-Philosopher, Elka Park, NY,
Puzzles and Paradoxes
"Never tell all you know." -- Raymond Smullyan
"I've already told you more than I know" -- Jay Sloat,
"Dinosaur"
Production Software Supervisor
Frans de Vreugd, Katwijk, Netherlands
Puzzle locks from India
Kishar of Bombay hired as guide to locate Indian puzzle locks.
Dr. Shah, pediatrician, architect of his own house.
His puzzle lock collection -- over 500;
Karl Schaffer, De Anza College/Dr. Schaffer and Mr. Stern Dance Ensemble,
Imaginary Dances
Quaternion of order Eight
Circle Dance Ensemble: "Everyone can dance!"
Ed Pegg, Jr,
Wolfram Research, Inc., Champaign, IL,
Meet the Attendees
Ed is wearing a
Numb3rs T-Shirt
ThoughtJuggler.com
ThoughtJuggler Events
Saturday, March 29th, 2008
Rhonda Roland-Shearer,
Art-Science Research Laboratory,
How Marcel Duchamp, Dada jokester's original optical illusions and photo
trickery put "ha ha" into the "aha!"
Stereo 3D without left-right eye image separation --
See Craig Hobbs
Zdravko Zivkovic (Novi Sad, Serbia),
Toby Gottfried and
Kate Jones
Tiling with Edge-Colored Octagons
Octagonal Edge-Matching Puzzle/Game -- DORIS (TheoDORa + ISadora)
Carolyn Yackel, Mercer University, (Knitting)
Josephine's Hyperbolic Pants
Hyperbolic pants -- parameterized on the octagon:
waist
o------------o
/ \
outseam / \ outseam
/ 8-coloring \
o o
| |
cuff | on the | cuff
| |
| |
o Double-Torus o
\ /
outseam \ / outseam
\ /
o------------o
waist
Animate it! - SPD
Stanley Eigen, NorthEastern University,
The 2008 IG Nobel (Awards)
The Annals of Improbable Research
Jean Pederson, Santa Clara University,
Stop Sign Theorems (on the Pascal Triangle)
"It works for a green parallelogram, will it work for a red parallelogram?"
Ken Knowlton, Budd Lake, NJ,
Geometric Strategies for "Knowlton" Mosaic Tilings
"Do not associate Bell Labs with
ASCII-Art Nude." (With Leon Harmon)
LATER (After New York Times article - 1970): "Be sure you mention Bell Labs."
Bill Cutler,
A New Puzzle(-Solver) Program
Bill Cutler's program solved Stewart Coffin's Puzzle Challenge.
Roger Malina,
Mathematics Made Flesh: Art, Scientific Simulation and a Life
On LEONARDO
F. le Lionnais, Mathematician;
Oulipo ("Ouvroir de littératurepotentielle"
-- "workshop of potential literature") -- (with Marcel Duchamp!)
Sebastien Perez-Duarte, Frankfurt, Germany,
Conformal Mappings and Photography
Tiled Spherical Views. 4π -> Sphere; Tileable projection.
Ted Nelson, Filmmaker, Oxford Internet Institute,
A New Agenda for Mathematics
Xerox-PARC Document proposal: Version-Control Extensions to Hypertext.
Robert Bosch, Oberlin College,
Recent Progress in Opt Art
Single-line (space-filling curve) shaded drawing --
Recursive solving the Traveling Salesman Problem.
Buddhist Endless Knot -- TSP on a torus?
Robert Fathauer,
The Art of Fractal Knots
Fathauer's talk is posted as a link from
Tessellations.com.
Dale Seymour, Teacher, Los Altos, CA,
Introduction to Tessellations
Problem-solving in High School. (See Ted Nelson)
Jerzy (Jurek) Kocik, Southern Illinois University,
Looking Through the Apollonian Window
"The HyperSkeptic does not believe skeptics."
Pythagorean triples - Triangles
Connecting circles
Lens series
Encyclopedia Sequences:
Tanya Khovanova, Massachusetts Institute of Technology,
Number Gossip
OEIS Sequences
Barry Cipra, Northfield, MN,
Sudokuniqueness
Intersection of a sphere with a cylinder -- what is the remaining volume?
Glenn Iba, Lexington, MA,
Explorations of Dynamic Tiling
3D Tetris implemented in LispWorks on MacOS -- Win32 -- Linux?
Sunday, March 30th, 2008
Mogens Larsen, Dept. of Maths, Univ. of Copenhagen, Denmark,
Physical Mathematics (and Geometric Proofs)
Trisecting an angle
Adam Atkinson,
Applications of Vampires in Law and Medicine
Numb3rs,
Mythbusters, Buffy, ...
Carlo Sequin,
Department of Computer Science,
University of California at Berkeley,
Art and Math Behind and Beyong the Eight-fold Way
See: Helaman Ferguson -- Physicist's
Elementary Particle Interactions.
Parameterized on the Poincaré Disk.
Stewart Dickson
Vedic Geometry and Tactile Mathematics