The others are only available in the printed editions.
Here are summaries of those for which there is no html at all:
Click here for book reviews of material sent in after the last paper edition appeared
Click here for a link to Recreational & Educational Computing.
Click here for a link to a site where they think that for the 21th century Complexity of our worlds comes from the fact that many domains are connected with each other - and Fractal Theory has led this conciousness to a new degree - without even people exchanging their experience. Sometimes there are some discoveries made in a field by analogy with another one like Brownian Theory applied in the Stock Market Theory..
Click here to download the text in a zip file.
includes a general essay on fractals From Star Trek to the Stiperstones Ridge by Mark Datko, Random Generation of Fractals by John Sharp (including a short GW BASIC program), Enhancing Mandelbrot Fractals by Larry Cobb (including a low cost program disc offer for PCs), Mandelbrot Generators on the Macintosh II by Mark Datko, (offering PD software) Fractals Maths and Graphics by Simon Goodwin, and more.
Fractal Report 1
includes an important article by Dr Dietmar Saupe, editor of Science of Fractal Images, on speeding Mandelbrot images. A page of contacts and notices is followed by a short program and article Day's Squares. Fractals from the Solution of z^n=1 and z Trajectories make up the Fractal Report, together with two further Mandelbrot articles.
Fractal Report 2
includes many articles with practical program examples such as Affine Transformations, by Dr Keith Wood, plus A Variation on the Mandelbrot Set, Melting Mandelbrots, A short Mandelbrot program for the BBC B, Computing Julia Sets in C, The Consequences of Finite Arithmetic, A Space filling Curve, details of the first Larry Cobb awards, and more.
Fractal Report 3
ventures into the fourth dimension with Dr Entwistle's Quaternion Julia Sets, and continues in similar vein with Mark Datko's Faking Planets and Mark McCall's Warp Speed Mandelbrot Sets. There are More Affine Transformations from Keith Wood, and Dr Jules Verschuren provides More About Ineration Algorithms. John C. Topham finishes with some excellent Pictures from Dynamic Systems on his QL.
Fractal Report 4
gives those unfamiliar with Henon Maps a chance to catch up, and also some short simple Mandelbrot and Julia plotters. There are a number of software offers, such as 68000 Mandelbrot and Julia plotters all in machine code for QL and Amiga, and also some shareware for various machines. A Star Fractal program and other short items makes this a useful Fractal Report for those just starting.
Fractal Report 5
has as its main article a discussion of 3D images, and shows how just two lines added to the familiar Mandelbrot program can give a perspective view. Fractal Landscapes in C are also covered, with further news of the Larry Cobb prize. The use of the 8087 PC co-processor in Mandelbrot images is discussed in the final article.
Editorial John de Rivaz 2
Mandelbrot Images (advertisement) Jake Davies 3
High Powered Mandelbroids R.J.F. Stewart 4
The Numbers Game Dr Keith Wood 6
Speed, Mandelbrot and the Archimedes Tom Marlow 8
Fractal Art (advertisement) Jake Davies 9
The Henon Attractor Peter Davidson 10
Further Investigations of a Chaotic Dynamical System John C. Topham 13
YAMS - Yet Another Mandelbrot Speed-up D. Stevenson 16
The Third Larry T. Cobb Prize Awards Larry Cobb 19
Dynamical Systems and Fractals (Book Review) Dr Ian Entwistle 20
Editorial John de Rivaz 2
Pictures from Complex Polynomials using Newton's Algorithm John C. Topham 3
A Three Dimensional Julia Plot with Z-Trajectories John de Rivaz 10
Space Filling Iterative Patterns Dr Hugh Daglish 11
Ikeda Map Dr John Corbit 14
Coloured IFS Tilings Dr Uwe Quasthoff 15
Intersecting Universes Michael Kirsch 18
offers more of John Topham's Images from a Three Point Attractor. Dr Clifford Pickover calls for papers for The Pattern Book, while Bryan Dye look at Fractals for Children. The saga of Mandelbrot in 3D is continued with a contribution from Ettrick Thomson. Ian Austin discusses Fractal Curves and Plants and Stewart Russell describes his Julia Set Animations. The Fourth Larry T. Cobb Prize Awards are announced by none other than Larry Cobb, and this issue concludes with Fractals from zn+c by Andy Lunness, Fractalmaker II, an advertisement from Nigel Woodhead's organisation, and the editorial and announcements
Martin's Mappings Paul Gailiunas 2
Fractals on the Apple II Series J.R. Parkes 4
A Brief Note on Time John de Rivaz 5
Equation Stability F.E. Alexander 6
Nothing But Zooms Amygdala 8
Bifurcation Diagrams - a Detailed Look John C. Topham 9
Program To Generate Land Surfaces Philip Hickin 16
Amiga Fractal Announcement Cade Roux 18
Editorial John de Rivaz 19
Announcements John de Rivaz 20
Wallpaper Peter Moon 2
Julia Sets - Part II Dr Ian Entwistle 4
Fractal File Formats Larry Cobb 7
More Martin's Mappings Dr Hugh N. Daglish 8
Bifurcated Sounds Leon Heller 13
Beyond Mandelbrot Tom Marlow 14
Ginger Bread Men Tom Marlow 15
Feigenbaum Diagram in C for the PC Leon Heller 16
Editorial John de Rivaz 17
Announcements John de Rivaz 18
Fractal Report 11
starts with some Hyperbolic Patterns from Dr Uwe Quasthoff. The Mandelbrot set is discussed again in Stereoscopic Mandelbrot by Ed Hersom, and Variations on the Mandelbrot Formula by Kate M. Crennell. There are some Book Reviews by Dr Ian Entwistle, and reviews of Shareware and Public Domain Programs for the PC by Jake Davies. A short TurboBasic program Three View Lorenz by José E. Murciano is followed by an essay and short program on Fractal Convolutions Terry Spitz. A Mandelbrot Monster by Paul Gailiunas and The Fifth Larry T. Cobb Prize Awards end the issue. Some excellent .wpg conversions of the .gif files show them off well.
Fractal Report 12
opens with some Simple Speedups from Paul McGilly. Faster and Nicer Fractals by Dr Jules Vereschuren follow, Spirals by Nigel Woodhead, and Shaded Three Dimensional Models by Howard Jones. Ettrik Thomsom shows us how to draw hyperbolic patterns with recursion, and Dr Daniel Wolf introduces his dust.
Simple Speedups Paul McGilly 2
Faster and Nicer Fractal Sets Dr Jules Verschueren 3
Area Preserving Mappings Paul Gailiunas 8
Spirals: Animal, Vegetable, Mineral or Fractal? Nigel Woodhead 10
Shaded Tree Dimensional Models Howard Jones 14
Hyperbolic Patterns with Recursion Ettrick Thomson 16
Wolf's Dust Dr Daniel Wolf 18
Editorial John de Rivaz 20
The Sierpinski Curve E.J. Turl 2
Data Compression (Letter) Larry Cobb 2
A Bit More Detail, Please Graham Johnstone 4
Basic Landscape José E. Murciano 7
The Volterra-Lotka System E.J. Turl 8
The Bifurcation Diagram and Chebyshev Polynomials John Topham 10
Fractal Shareware on the Acorn Archimedes Phil Edmonds 15
x5-1 Newton Plot (image) Dr Ian Entwistle 16
Two Mandelbrot Images Cade Roux 17
Mandelbrot With Moving Colours José E. Murciano 19
Editorial and Announcements John de Rivaz 20
Julia Sets: Alternative Mappings Dr Ian Entwistle 2
Faster and Nicer Fractal Sets - Part 2 Dr Jules Vereschueren 7
A Fractal Tiling Tiziano Terranova 13
Editorial John de Rivaz 16
Möbius Mandelbrot Contortions Cade Roux 17
Announcements John de Rivaz 17
Fractal Calendar Competition Dr Ian Entwistle 20
Fractal Report 16
A long article on the Reimann Sphere by Roger Castle-Smith starts this issue. This should be of value to those interested in those arty projections. Another look at Mandelbrot Type Images From Newton's Method by John C. Topham and his trusty QL shows just what good results people with patience can achieve with almost any computer. Joyce Haslam uncovers the secrets of Ushiki's Phoenix for all to see and program into their computers. Finally Yvan Bozzonetti philosophises on What is Fractals Space
FRACTAL REPORT 17
Fractal Landscapes Peter Berryman 2
Inside the Julia Set Joyce Haslam 4
Fractals from Laguerre's Method John Topham 6
Making Phopographs from the Computer Screen Howard Jones 11
The Method of Double Position Paul Gailiunas 12
Fractals From Any Polynomial Using Netwon's Method John Topham 14
Biomorfos José E. Murciano 18
Editorial and Announcements John de Rivaz 19
Julia Sets: Mappings with Decomposition Dr Ian D. Entwistle 2
Chaos in New Clothes and Some New Fractals John Sharp 7
Life in a Box: Lines Fractals and Being Human Dick T. Oliver 13
Editorial and
The Blancmange Chris Sangwin 18
Images from Halley's Method John Topham 2
Rabbits and Foxes Dolores Garcia Garcia 7
L - Systems John Sharp 10
Editorial and Announcements John de Rivaz 16
Double Position for Functions of a Complex Variable Paul Gailiunas 18
Taking Photographs of Computer Screen Images
Using Focal Plane Shutter Cameras Roger Castle-Smith 20
Review: Fractals in the Fundamental and Applied Sciences Dr Ian Entwistle & John de Rivaz 7
Fractal Power Yvan Bozzonetti 5
Producing Sharp Fractals John Sharp 7
Fractal Music: the 1/f algorithm Dr Gabriel Landini 14
The Mandelbrot Explained: A Beginner's Guide Mike Curnow 20
reset type=formula formulafile=\fractint\susy.frm formulaname=RMCH1 corners=9.309089/-9.309087/-12.376526/12.447716/-9.309087/12.447716 params=1/0/0.5 inside=0 (rotated)
Editorial and Announcements 2
Fractint Corner: Suzy M. Yvan Bozzonetti 3
Mapping the Mandelbrot Filaments John A. Colls 4
Lyaponov Maps E.J. Turl 6
Julia Sets by the Inverse Iteration Method George Cotsikis 8
Functions with Symmetric Attractors Uwe Quasthoff 10
Letter Dr M.W. Ecker 13
Fractals form 3rd and Higher Order Taylor Methods John Topham 14
An Even/Oddity ( ... lovely as a tree?) Ed Hersom 18
More Blancmange Dr Hugh Daglish 20
A Brief Condemnation of Time - call for articles 5
Recursive Block Removal Algorithms Timothy Harris 6
Fractint Corner: More Parameters Please Yvan Bozzonetti 8
Colouring Symmetric Attractors Dr Hugh Daglish 12
Physics Software Review Larry Cobb 13
Gumowski and Mira Attractor Dr Ian Entwistle 14
Two Books on Symmetry - A Review John de Rivaz 15
Production of 1/f Music Series G.R. Turner 16
Using Complex Variables in QuickBasic for Fractals Cecil J. Freeman 4
Noises, noises and noises Dr Gabriel Landini 6
Symmetries in Patterns from Mira Paul Gailiunas 8
The F.A.S.T. Method to Speed-Up the Creation of Fractal Sets Dr Jules Verschuren 10
Fractals by the Hundred Professor John Greening 16
Recursion and Turtle Graphics Paul Gailiunas 18
Fractint Corner - Some explanations. On the Track of Mandelbrot Bacteria Yvan Bozzonetti The Ikenaga Sets Joyce Haslam Images from other Iterative Functions John Topham Patterns on the x0-r Plane Mieczyslaw Szyszkowicz IFS Explorer and Clip Art for the Macintosh Andy Hass Values of the Logistic Map with Periodic Forcing Mieczyslaw Szyszkowicz QuasiJulia-1 José E. Murciano and José L. Villaneuva
Using Complex Variables in QuickBasic - II Cecil J. Freeman 4
Cheap Iterative Processes Mieczyslaw Szyszkowicz 6
Fast Hyperbolic Patterns John Greening 10
Iterations with Transformed Argument Mieczyslaw Szyszkowicz 12
Notes on the Newton-Ralphson Method Cade Roux 14
Review: Chaos Data Analyzer John de Rivaz 16
Patterns of Territories Mieczyslaw Szyszkowicz 18
A Note on Distance Between Sequences Mieczyslaw Szyszkowicz 20
Fractal Aggregations- review John de Rivaz 5
Fractal Image Compression Demo Disk - review John de Rivaz 6
Review of CAL software, version 3.5 Larry Cobb 8
Visions of Tomorrow - review John de Rivaz 9
IFS from PI John de Rivaz 10
Fractint Corner - FRM files are Easy Joyce Haslam 12
QuasiJulia 2 Jose E. Murciano 15
QuasiMandelbrot - 1 Jose E. Murciano 16
More Rabbits and Foxes Dolores Garcia Garcia 17
Lasajous Figures and Strange Attractors U. Owenup 20
Letters 3
An Open Letter to Dr Meech Joyce Haslam 4
Coming Attraction Joyce Haslam 6
Quantum Fractals at least? Yvan Bozzonetti 7
Catching Fractals by the Short and Curlicues John Sharp 10
Fractals at the Seaside John de Rivaz 13
Curlicues from text John de Rivaz 14
Magazine Review: Fractals John de Rivaz 16
Harmonics in Fractals Gareth Jones 17
Fractal Galore Ed Hersom 18
Ginger - A Variation on Martin's Mappings Gareth Jones 20
The Face - Fiction John de Rivaz
Legendre's Fractals, Cardinal Fractals Yvan Bozzonetti. José E. Murciano: Interset, Trimande, Popcorn Hugh Daglish, Power Curlicues John Reece Amiga Gallery
Letters 3
More on Legendre's Polynomials Yvan Bozzonetti 5
Hopalong Douglas Skrecky 7
Pickover's Variation of the Mandelbrot Set by Warut Roonguthai 9
Curlicue Advances Dr Hugh Daglish 10
Fractal Sets from Magnetic Model 2 Dr Jules Verschueren 11
Self Similarity in Modular Graphics G. R. Turner 18
Cos1.par Yvan Bozzonetti 3
Letters 4
The Mandelbrot Crop Formations Kobus Nieuwmeijer 7
Tree Maker Dolores García García 8
Complex Probability Beziers of Three Polynomials In Iteration Time Roger L. Bagula 9
Random And Pseudo-random Walks Roger L. Bagula 10
B.C.S. Superconductors, Renormalizationand Yang-lee Theory Roger L. Bagula 12
Exploring C3FBC4 Yvan Bozzonetti 14
Inflation Tilings Paul Gailiunas 16
Inverse Mapping for Newton's Method Paul Gailiunas 18
Letters 3
Two Algorithmic Composition Programmes Dr Gabriel Landini 4
Fractal Music II - Driving the MPU401 Interface Dr Gabriel Landini 6
Poetry and Computers Gerald England 8
A Simple Model of a Gravitational Lens John Topham 11
Fractal Models John Sharp 14
Applying the Epsilon Cross Method to the Mandelbrot Set Warut Roonguthai 16
A New Type of Fractal Procedure: Chase Functions Roger Bagula 18
Dimensional Iteration In The Mandelbrot Set Roger Bagula 19
On Good Books About Fractals Roger Bagula 20
Fractal Meanderings G.T. Swain 2
Compression Ed Hersom 3
Circle Residue Art Dr Mike Ecker 6
Fractals from cyclotonic polynomials Mikel Paternain 7
A Programme For Generating the Menger Sponge Roger Castle-Smith 8
Candy Jean van Mourik 14
Fractal Stars (in good time for) Christmas (1994) Dr Jules Verschueren 15
Strophoid Loops in Space-Time Simulated Roger Bagula 18
and Tachyon Transient Dimensions
Letters 4
Michael Barnsley Collectors Editions 5
Book Review: Frontiers of Scientific Visualisation John de Rivaz 6
Further Models of Gravitational lenses John Topham 7
Forty-one E. W. Shineman, Jr 15
More Amazing Number Arrangements John J. Schraub 15
Kaleidoscope Mal Lichenstein 16
Simulation of Smouldering of Paper Jean van Mourik 17
Migdal-Kadanoff and Ackerman Dual Recursions Roger Bagula 18
Fractals Without Chaos Yvan Bozzonetti 20
Letters 3
Merging Ordinary Logistics with Hoffensteadt Logistics John de Rivaz, & Mal Lichenstein 5
What Is The Fractalated Curriculum? Harold J. McWhinnie 7
Ordering Time Ideas. Yvan Bozzonetti 8
Book Review: The Muse in the Machine Robert C.W. Ettinger 13
Magic Squares John Greening 14
On The Use Of Moduar Group Procedure To Express The Klein Hyperbolic Model As A Fractal Roger Bagula 15
Hyperbolics John de Rivaz 16
On The Track of M Bacteria Yvan Bozzonetti 18
Letters 6
On Penny Saving/collecting As An Experimental Observation R. L. Bagula 10
Lorenz Butterfly Music Malcom Lichenstein 11
Lorenz Music for Tympani, Shakuachi, Piano and Pipe Organ John de Rivaz 12
The Sound of Chaos Dr Gabriel Landini 15
Fishtank Cecil J. Freeman 16
Pondering on a Bifurcation Yvan Bozzonetti 17
The Bagula Set Roger Bagula 19
Rabbits, Foxes and Oppossums Roger Bagula 19
Patterns of Repulsion Paul Gailiunas 20
Letters 3
Are Infinite Carotid-Kundalini Functions Fractal? Dr Clifford Pickover 7
Powerful Fractals Dr Jules Verschueren 11
Sunflower Spirals John Sharp 17
Fractals, Logic Functions and Bits Mikel Paternain Machin 19
Amgia Program Malcolm Lichenstein 5
Letters 6
Extraterrestial Messages in Our Genes Dr Clifford Pickover 8
A Plotter Hidden in Your Printer Roger Castle-Smith 13
Magic Figures Paul Gailiunas 19
Koan music - A unique new type of music 21
Astronomy with Computers Yvan Bozzonetti 23
International Workshop on Information Processing in Cells and Tissues Ray Paton 24
Skyglobe Mark A. Haney 25
Across My Dreams With Nets Of Wonder G.T. Swain 26
Roger Bagula's Listings Roger Bagula 28
Generating Fractals with Hardware in Real Time Tom Holroyd 31
All at the Press of a Button... Chrissie Loveday 32
Letters 4
Catastrophic Chaotic Attractor Malcolm Lichtenstein 7
Binary Decomposition Joyce Haslam 8
N-Color Decompositions Jules Verschueren 10
Is the World a Superbrain? Yvan Bozzonetti 12
Fractal Compression Trefor Southwell 14
Complex Denominators Joyce Haslam 19
The Circular Tractrix and Trudrix John Sharp 28
Beyond Measure Theory into the Vacuum R. L. Bagula 32
Letters 4
Fractal Cosmos: The Art of Mathematical Design Book Review Dr Ian Entwistle 6
Fractal DNA Imager Software Review 7
Apollonian Circles Marius-F. Danca 8
The Pattern Book: Fractals, Art and Nature Book Review Cecil J. Freeman 13
Newton.frm Jules Verschueren 14
The Well Tempered Fractal Robert Greenhouse 20
More on Gravitational Lenses, Please Yvan Bozzonetti 21
A Fractal Window on Mars Yvan Bozzonetti 22
Images From a Three Point Attractor Marius-F. Danca 23
Magic not Squares John Sharp 28
Fractal Carpets Gabriel Landini 29
Fractal 97 Call for Papers Miroslav M. Novak 30
More Amiga Fractals Malcolm Lichtenstein 31
Spidermorph (Image only) Dr Ian Entwistle 32
Fractal Dreams Dr Clifford A. Pickover 4
Keys to Infinity Book Preview Dr Clifford A. Pickover 5
Fractal resources on the Internet 9
Neural Nets versus Digital Computers Dr Art Quaife 10
Future Health Book Preview Dr Clifford A. Pickover 12
Fractal Underwater Images Loretta DeMars 17
Mutating Fractals Paul Gailiunas 22
Julia Sets Part 5 Dr Ian Entwistle 23
Inner Loop Rhyming Schemes for "Mandel" Pairs Malcolm Lichtenstein and Roger Bagula 25
Various Internal Perturbations of the Mandelbrot Set Malcolm Lichtenstein 26
Fractint Formulae Roger Bagula 28
The Mogen David Fractal Malcolm Lichtenstein 30
Checkerboard Mandelbrot Malcolm Lichtenstein 31
Fractal Blind Spot Malcolm Lichtenstein 31
Sieprinski Process within Mandelbrot Malcolm Lichtenstein 32
The Logarithmic Spiral Dr Art Quaife 5
Pi fight, round n+2 Dr M. Ecker 7
Unusual Map Files for Fractint John Sharp 8
Ford Circles Malcolm Lichtenstein 10
Sierpinski Odd-even Cellular Automaton Malcolm Lichtenstein 11
Musical Ants Malcolm Lichtenstein 12
Fuzzy Mandelbrot Intersections Malcolm Lichtenstein 14
New Twist to the Mandelbrot Malcolm Lichtenstein 15
Kolmogorov Pre-Fuzzies Malcolm Lichtenstein 16
Bilinear Irreversibility Malcolm Lichtenstein 17
Radial Polar Transforms of Mandelbrot Iterations Roger Bagula 18
Future Basic - a bear with a byte Roger Bagula 19
Programming Environments Roger Bagula 20
Julia Effects in Mandelbrot Iterations Roger Bagula 21
Hop - Fractals in Motion Michael Peters 23
Mathematica coding Yvan Bozzonetti 25
New Book Dr Clifford Pickover 25
Synopsis of Pulsor Model for Space-Time Events David C. Manchester 26
Towards Justice Brian W. Haines 28
Relativistic Thermodynamics From Intermediate Nanomachines. Yvan Bozzonetti 31
Editorial Letters and Announcements 2
One Fill subroutine Marius -F. Danca 6
A Recipe for Intelligence John K. Clark 9
Chaos Demonstrations Ladye K. Wilkinson 11
New and Wonderful Fractal Formula! Gerry Mantha 13
Quantum Computers John K Clark 14
Sine-Cosine Curlicues and Feather Fractals Dr. Michael W. Ecker 15
A Composer's Thoughts on Fractal Music Chick Hebert 17
Magic Hexagon Jean Van Mourik 19
Logarithmic Spiral Jean Van Mourik 20
Appolonius Jean Van Mourik 20
A Gadget for Solving the Third Order Equation Marius-F. Danca 21
Van der Pohl System Marius-F. Danca 23
Mandelbrot Bull's Eye Malcolm Lichtenstein 29
Fuzzy SuperCalculus Malcolm Lichtenstein 29
Four Way Symmetries in Mandelbrot and BAM Malcolm Lichtenstein 30
Some QBASIC programs Roger Bagula 31
A Major Change for Fractal Report 2
Editorial, Announcements and Letters 4
Chaotic Justice G.T. Swain 9
Book Review: Pickover: VISUALIZING BIOLOGICAL INFORMATION Dr Gabriel Landini 12
What is Chaos Yvan Bozzonetti 13
Can Computing Devices Beat Physical Laws Yvan Bozzonetti 14
Impact of Computing Power Yvan Bozzonetti 20
The Statute of Virtual Worlds Yvan Bozzonetti 21
Bagula's Programs Roger Bagula 24
Tent operations on IFS Sierpinski Malcolm Lichtenstein 32
Fractal Report to Cease Publication - Editorial
Interesting Ways of Filling the Interior of the Mandelbrot Set Jose Marques
The Most Impressive Fractal J. A. Muth
Acceleration Man Malcolm Lichtenstein
Tent Inside Man Malcolm Lichtenstein
Some BAM Designs Malcolm Lichtenstein
Auto Correalation BAM Pattern Malcolm Lichtenstein
A Fractal in Visual Basic: Martin's Mappings John de Rivaz
Julia Set Compatible Perturbations Jules Vereschueren
General Power Mandelbrot Roger Bagula
This page hosted by Get your own Free Home Page