PuzzleAtomic tm

BOOKS & papers, articles, ideas, diversions

 Proposal for a Space Launch System     Dougs Works

Circle Puzzler's Manual,  Mainly an attempt to classify different kinds of circle puzzles.  An infinite piece circle puzzle with an infinite number of differently shaped pieces is presented, called an infinite black circle.  

Circle Puzzler's Manual Part 2NEW!,  This is an update to CPM including the new Gizmo Gears fractals found by Bob Hearn, Jason Smith and Brandon Enright among others.  The fractals are in color.  Included is a substantial section with quotations from the twisty puzzle forum where the fractals were developed.  It has about 500 posts and went on for several years.  It is still live on the internet but posts have stopped for now.

Mathematical Coloring Diversions  Unique patterns made with an algorithm for multiplying patterns.  You can print out the ones you want and color them.  See ECCurves page. 

 Linked Circles, Space Numbers.pdf  This two page synopsis was included with the Abraka puzzles at G4G13 and  the San Diego 2018 IPP.

Integer Code for Linked Circles   Have you ever wondered in how many ways you can link n identical circles together?  It is simple if n is about 5 or less.  It becomes harder with n greater than 5 and is even tricky for n=5.  When n is 6 you can make a Rogue link, a very rascally thing.

Richard's Eyes on Nature

Wirechanics   Movable toy mechanical devices made with wire and plastic tubing.  Concept can be used to simulate some mechanical movements such as an idea for an invention, etc.  Make any of these or design you own toys, gadgets, etc.

 Atomihedron-Electrihedron, a self organizing math-puzzle geometric topology.  Part 1    History   Calc Circ. Twist  Tips   Simple Twists   Orbit Twist    The challenge is to produce a mathematical notation that allows investigation of this system. 

Part 2     1 Intro   2 EH Deriv1   3 EH Deriv2  4 EH Link1    5 EH Link 2  6 1st 5 AH    7 Speculate   8 Wood Model   9 Problems  10 PH Calcs   11 Twist Calcs   12 Meta Axes  13 Make  EH  14 Spins 15 Eduality  16 Compose  17 AHn Calcs  18 NHn Calcs  19 Edual Photos  20 More EHD  21 Mods  22 Old and New  23 Axes    24  ijk   25 Circa 60's

Planet of Numbers (amazon)  The Planet of Numbers cartoons with questions and math links. Thorougly edited and enhanced.  Makes you think about numbers in many different ways, ebook $3,29 or paperback (color) $14.49

 Dougs Works

 Number Patterns In More Than One Dimension 1977 (c)JRM  (see:  Space Number games Space N'sHow They Work ) 

A Prime Number Sieve  (c)1968 JRM An interesting idea about fractions                                                                                                  Wallpaper Rings (c)1980 JRM see : ( ECCurves)

 A Problem Suggested by Celtic Art (c)AMM 1983(original in American Mathematical Monthly) Developed into math art as:( ECCurves )

A Celtic Magnecurve Problem  (c)AMM June-July 2000.  Problems for Solution.  Also see: Magnecurves  a G4G paper

 Polyhedron Moustraps>    (c)1971 JRM (Journal of Rec. Math)                                                                              Can_Space_Be_Overtwisted?  (c)1968 NCTM Proves it conceptually.  This initial results of the Electrahedron/Atomihedron system  How_A_Flexible_Ring_Is_A_Sphinxx   First publication of the discovery of the Atomihedron Tetrahedral system.  However the Editor declined to publish a drawing of an order 3 or higher order Atomihedron so this does not reveal their knot system topological nature.  Flexing_Rings_Of_Regular_Tetrahedra&n  (c)1967 The Pentagon.  Method of generalizing a binary helix of hinged tetrahedra.

 Hybrid_Flexahedrons  (c)1980 JRM  Made with tetrahedrons and octahedrons.                                                                                    

An_N-Dimensional_Binary_Coloring_Problem  JRM 7/71                                                                                                               Dim_Three-Dimenional_Sim  JRM   v 5, No. 4,1972 p 274-275,  Another version of the Sim game.

Some_Interesting_Properties_of_Spherical_Motion  JRM, v 5, No. 4,1972 p 275-276.  A magician could use this for a trick of some kind. 

  MultiMixi   (c) 1973 JRM   V 6, No. 4, p 293-295-275  A game played with a magnetic device that moves pieces around a square board.

Cubo Game & Puzzle  JRM, v 5, No. 3,1972   Consists of 3x3 array of cubes(& other arrays) in a frame you can lift and rotate to mixup.  Quantum_Chess  (c) 1968 The Pentagon. Game using simple equations played on a reduced chessboard, 5 piece shapes, 8 pieces/player.

  Flexahedrons  (c) 1962, N. 11, Oct., Recreational Mathematics Magazine.  My first pub. on research into digital twist.  This was also discussed in the book Mathematics On Vacation by Joseph S. Madachy, creator of Recreational Mathematics Magazine, and reprinted once at least.  The cubic form was also presented by David Wells as Two_Puzzling_Models&n  in the 1975 Games and Puzzles magazine page 37 discussing the 6 & 8 cube Flexahedron.  Mr. Well 'accidentally discovered these".  Wells published many of my submissions as well, with credit, of course. 

Problems_For_Solution  Three problems JRM  V 7 #1 1974, The Pentagon, Spring 1965,  Mathematics Magazine, Nov.-Dec. 1973

How_To_Get_Something_For_Nothing    (c)JRM, April, 1969,  How a new idea like imaginary numbers ends up major as mathematics.

Engels Enigma,   (c) Scientific American (c) A.K. Dewdeney, pp 16-17, 24 also in the book Mathematics On Vacation c) A.K. Dewdeney