Journals of the International Society
About the
About the

Visual Mathematics: Index by Volume

Volume 1, No. 1, 1999
1) Crowe, D.W.: Precise Perfect Colorings Of Archimedean Tessellations
2) Dunham, D.: Transformation Of Hyperbolic Escher Patterns
3) Gerdes, P.: On Lunda Designs And Some Of Their Symmetries
4) Hilton, P. and Pedersen, J.: Symmetry In Theory - Mathematics And Aesthetics
5) Hilton, P. and Pedersen, J.: Symmetry In Practice - Recreational Constructions
6) Hofman-Jablan, J.: Tonality/Atonality Order/Disorder Or Order/New Order
7) Jablan, S.V.: Ordering Knots
8) Kappraff, J.: Systems Of Proportion In Design And Their Relationship To Dynamical Systems Theory
9) Takaki, R.: Rheo-Art - Application Of Fluid Dynamics To Art Creation
10) Wegner, B.: Tangential Symmetries Of Plane And Space Curves
11) Weise, D.: Principle Of Minimax And Rise Phyllotaxis (Mechanistic Phyllotaxis Model)
12) Williams, K.: Symmetry In Architecture
Editor's Comment

Volume 1, No. 2, 1999
1) Avital, T.: Footprints Literacy: The Origins Of Art And Prelude To Science
2) Avital, T.: Mindprints: The Structural Shadows Of Mind-Reality?
3) Goranson, H.T.: The Soft Logics Of Thomas Harriot
4) Huff, W.S.: Results Of Five Students From The Programmed Design Assignment, In The Formative Design Studio At Buffalo
5) Zenkin, A.A.: Cognitive Visualization Of The Continuum Problem And Mirror Symmetric Proofs In The Transfinite Numbers The

Symmetography Papers:
Nagy, D.: Visual Mathematics: A Missing Link In A Split Culture
Nagy, D.: La Matem‡tica Visual: Un Eslab—n Perdido En Una Cultura Dividida

Volume 1, No. 3, 1999
1) Hilton, P. and Pedersen, J.: Two Remarkable Families Of Equilateral Triangles Within The Pascal Hexagon - A Triumph For Symmetry
2) Hilton, P. and Pedersen, J.: On The Geometry And Combinatorics Of The Array Of Multinomial Coefficients
3) Leyton, M.: Group Theory And Architecture 1: Nested Symmetries
4) Spinadel, V.W. de: The Family Of Metallic Means
5) Sullivan, J.M.: The "Optiverse" And Other Sphere Eversions

Student Papers:
Kozomara, A.: Discrete Plane Symmetry Groups

Volume 1, No. 4, 1999
1) Barrallo, J. and Jones D.M.: Coloring Algorithms For Dynamical Systems In The Complex Plane
2) Kocic, Lj.M.: Portraits Of Numbers
3) Leyton, M.: Group Theory And Architecture, 2: Why Symmetry/Asymmetry?
4) Ogawa, T.: An Essentially-Three-Dimensional Quasicrystal
5) Ogawa, T.: Symmetry Of Three-Dimensional Quasicrystals
6) Ogawa, T. and Collins R.: Chains, Flowers, Rings And Peanuts: Graphical Geodesic Lines And Their Application To Penrose Tiling

Symmetrography Papers:
Nagy, D.: Symmetro-Graphy (Bibliographic Section)

Volume 2, No. 1, 2000
1) Ogawa, T.: Problems In A Digital Description Of A Configuration Of Atoms And Some Other Geometrical Topics In Physics
2) Ogawa, T. and Nakajima, Y.: Frustration, Degeneracy And Forms
3) Perez-Gomez, R. and Ruiz, C.: Chromatic Plane Compositions 4) Perez-Gomez, R. and Ruiz, C.: Methods Of Perfect Coloring
5) Sarhangi, R. and Martin, B.D.: The Circle: Paradox And Paradigm
6) Yevin, I.: Ambiguity And Art

Educational Papers:
Dreifus, T. and Eisenberg, T.: On Symmetry In School Mathematics
Lipkovski A.T.: Visualization Of Simple Algebro-Geometric Ideas

Volume 2, No. 2, 2000
1) Kocic, Lj. and Simonicelli, A.C.: Fractal Interpolation In Creating Prefractal Images
2) Lungu, A.: The Recent Generalizations Of Colored Symmetry
3) Meilan, P.F., Creus, M. and Garavaglia, M.: Generation Of Quasi-Moirƒ Patterns: Fractality And Percolation
4) Ogawa, T. and Watanabe, Yo.: Graphical Geodesic Lines Applied For Some Quasiperiodic Tiling

Volume 2, No. 3, 2000
"BRIDGES 2000"in "VisMath". This issue of the journal is dedicated to the "BRIDGES: Mathematical Connections in Art, Music, and Science" Conference (Southwestern College, Winfield, KS, July 28 - 30, 2000) organized by Reza Sarhangi. The first six papers are republished in the electronical form from the
Conference Proceedings (ISBN-0-9665201-2-2), with the kind permition of Reza Sarhangi, the Editor of the Proceedings.

1) Field, M.: The Art And Science Of Symmetric Design
2) Gailiunas, P.: Spiral Tilings
3) Hart, G.: The Millennium Bookball
4) Kaplan, C.: Computer Generated Islamic Star Patterns
5) Kappraff, J. and Adamson W.: A Fresh Look At Number
6) Sarhangi, R.: Persian Arts: A Brief Study
7) Sequin, C.: "-To Build A Twisted Bridge-"

Volume 2, No. 4, 2000
1) Van Dyke, J.R.: Optimal Spherical Packing Of Circles And Hilbert's 14Th Problem
2) Jablan, S.V.: Are Borromean Links So Rare?
3) Ling Ngo, D.C. and Lian Seng, T.: A Mathematical Theory Of Interface Aesthetics

Volume 3, No. 1, 2001
"BRIDGES 1998, 1999" in "VisMath". This issue of the journal is dedicated to the "BRIDGES: Mathematical Connections in Art, Music, and Science" Conference (Southwestern College, Winfield, KS, July 28 - 30, 2000) organized by Reza Sarhangi. The first six papers are republished in the electronical form from the
Conference Proceedings (ISBN-0-9665201-2-2), with the kind permition of Reza Sarhangi, the Editor of the Proceedings.

1) Friedman, N.: Hyperseeing, Hypersculptures And Space Curves
2) Golubitsky, M.and Melbourne I.: A Symmetry Classification Of Columns
3) Lubachevsky, B.D., Graham R.L. and Stillinger F.H.: Spontaneous Patterns In Disk Packings
4) Martin, B.D. and Sarhangi R.: Symmetry, Chemistry And Escher's Tiles
5) Peden, D.D.: Bridges Of Mathematics, Art, And Physics
6) Sequin, C.: Analogies From 2D To 3D Exercises In Disciplined Creativity

Educational Papers:
Kaladzievski, S.: Integration By Parts: A Visual Proof

Volume 3, No. 2, 2001
"BRIDGES 1998, 1999, 2000, 2001" in "VisMath". This issue of the journal is dedicated to the "BRIDGES: Mathematical Connections in Art, Music, and Science" Conference (Southwestern College, Winfield, KS, July 1989, 1990) organized by Reza Sarhangi. The papers are republished in the electronical form from the
Conference Proceedings (ISBN-0-9665201-0-6, ISBN-0-9665201-1-4, ISBN-0-9665201-2-2), with the kind permition of Reza Sarhangi, the Editor of the Proceedings.

1) Barrallo, J.: Fractals And Multi Layer Coloring Algorithms
2) Bulatov, V.: An Interactive Creation Of Polyhedra Stellations With Various Symmetries
3) Corey Cerovsek: A World Class Violinist And Mathematician
4) Collins, B.: Geometries Of Curvature And Their Aesthetics
5) Crowe, D.W.: Symmetries Of Culture
6) Daniel, D.F., Jablan S., Schmidt D.: Quilted Symmetry
7) Fathauer, R.W.: Some Common Themes In Visual Mathematical Art
8) Friedman, N.: Knots And Multiple M…Bius Band Minimal Surfaces
9) Jablan, S.: Mirror Curves
10) Krawczyk, R.J.: More Curved Spirolaterals
11) Perry, C.O.: Continuum, Broken Symmetry, And More
12) Poetry Of Gar Bethel
13) Radovic, Lj. and Jablan S.: Antisymmetry And Modularity In Ornamental Art
14) Rousseau, I.: Spectral Light As Structred Space
15) Sims, J.: Timesculpture

Volume 3, No. 3, 2001

Volume 3, No. 4, 2001
1) Friedman, N.: Hyperseeing, Hypersculptures, Knots, And Minimal Surfaces
2) Korren, A.: Identical Dual Lattices And Subdivision Of Space
3) Morrison, T.: The Geometry Of History; 032147658
4) Wichmann, B. and Dawes J.: A New Class Of Tilings With Two Prototiles

Volume 4, No. 1, 2002
1) Crass, S.: Polynomials, Symmetry, And Dynamics: An Undertaking In Aesthetics
2) Gerdes, P.: From Liki-Designs To Cycle Matrices: The Discovery Of Attractive New Symmetries
3) Gerdes, P.: M-Cannonic Mirror Curves
4) Hafner, I., Zitko T. and Jurcic-Zlobec B.: Gallery Of Rhombic Polyhedra
5) Ippoliti, E.: Cognitive Visualization Of Some Integer - Valued Polynomials
6) Kobes, R. and Letkeman H.: Non-Linear Fractal Interpolating Functions
7) Stewart, B.D.: Newton, Chebyssvev, And Halley Basins Of Attraction; A Complete Geometric Approach
8) Palistrant, A.F.: Professor A. M. Zamorzaev (1927-1997) And Kishinev School Of Discrete Geometry

Papers from ViVeMath
9) Endl, K.: Software For Geometry
10) Jablan, S.: Modularity In Science And Art
10) Jablan, S.: Modularidad En El Arte
11) Kocic, Lj. M.: Art Elements In Fractal Constructions
12) Knezevic, I., Sazdanovic R. and Vukmirovic S.: Visualization Of The Lobachevskian Plane
13) Lipkovski, A.: The Educational Use Of Mathematical Software: Techniques And Examples
14) Malkowsky, E. and Velickovic V.: A Software For The Visualization Of Differential Geometry
15) Markovich, S.: Amodal Completion In Visual Perception
16) Radovic, Lj.: Reconstruction Of Ornaments
17) Stefanovska, Lj., Grcev T. and Gegovska-Zajkova S.: Visualization Of The Reaction Zone Spreading For An Alumothermic (Redox) Reaction
18) Stefanovska, Lj., Andonovic B. and Gegovska-Zajkova S.: Of An Iterative Procedure For Solving The Optimization Problem Into An Ellipsoid

Volume 4, No. 2, 2002
1) Gerdes, P.: Cylinder Matrices
2) Gerdes, P.: Helix Matrices
3) Hafner, I. and Zitko T.: Introduction To Golden Rhombic Polyhedra
4) Hafner, I. and Zitko T.: Relations Among Rhombic, Platonic And Archimedean Solids
5) Hafner, I. and Zitko T.: From Dissection Of The Cube To Space Filling With Prolate Rhomboedra And Rhombic Dodecahedra Of The Second Kind

Volume 4, No. 3, 2002
1) Cerf, C.: A Family Of Impossible Figures Studied By Knot Theory
2) Gerdes, P.: A Note On Chessboard Matrices
3) Gerdes, P.: Twill-Plaited Octagonal Designs
4) Giunti, R.: Analysing "Chess"
5) Hafner, I. and Zitko T.: Two Convex Polyhedra With A Common Net
6) Huff, W.S.: Additional Results From The Programmed Design Assignment In The Formative Design Studio At Buffalo
7) Rojas, C.C.: Geometry Of The Parabola According To The Golden Number

Volume 4, No. 4, 2002
1) Maynard P.M.: Isohedrally Compatible Tilings
2) Schulze-Fielitz E.: Metaeder
3) Sigaud N.: Anacom Project
4) Tennant R.F.: Subgroup Lattices For Crystallographic Groups

Educational Papers:
Tennant R.F.: Interdisciplinary Teaching Strategies In The World Of Humanistic Mathematics

Volume 5, No. 1, 2003
1) Gerdes, P.: Plaited Strip Patterns On Tonga Handbags In Inhambane (Mozambique) - An Update
2) Hafner, I. and Zitko T.: Colouring Platonic Solids
3) Kappraff, J. and Adamson G.W.: A Unified Theory Of Proportion
4) Lucca, G.: Representing Seashells Surface
5) Weise, D.: The Pythagorean Approach To Problems Of Periodicity In Chemistry And Nuclear Physics
6) Wertheim, I. and Movshovitz-Hadar N.: Visualization Vs. Verbalization

Volume 5, No. 2, 2003
1) Gerdes, P.: Dividing The Sides Of A Triangle In Proportional Parts
2) Hafner, I. and Zitko T.: On Certain Construction Of Rhombic Hexacontahedra

Ochiai, M., Imafuji N., Jablan S. and Sazdanovic R.: Knot Theory Programs Knot2000 (K2K) + Linknot (K2Kc)

Volume 5, No. 3, 2003
1) Hafner, I. and Zitko T.: Four Problems On Dodecahedron
2) Hafner, I. and Zitko T.: Mazes On Surfaces
3) Hafner, I. and Zitko T.: Projections Of The World Onto Convex Polyhedra
4) Hafner, I. and Zitko T.: Two Basic Problems Of Polyhedra Nets
5) Lucca, G.: Decorations By Means Of Generalized Clothoids

Volume 5, No. 4, 2003
1) Barry, P.: The Fourier Analysis Of Bezier Curves
2) Gerdes, P.: Oblique Altitudes And Bisectors
3) Hoffman, W.C.: Symmetry In Psychology

Volume 6, No. 1, 2004
1) Lucca, G.: Modelling Starfishes Surface
2) Puente, C.E. and Puente M.G.: Ice Crystals Inside The Bell
3) Zamorzaeva, E.: Enumeration Of 2-Isohedral Tilings On The Sphere

Volume 6, No. 2, 2004
1) Chun-Wang Sun and Guan-Ze Liao: An Aesthetic Exploration Of Relative Motions

Educational Papers:
Gompa, R.R. and Gompa V.L.: Estimating Mathematical Information On Graphs: A Scientific Approach

Volume 6, No. 3, 2004
1) Baker, J. and King D.: The Use Of Visual Schema To Find Properties Of A Hexagon
2) Lucca ,G.: Symmetrical Patterns By Means Of Contour Plots

Volume 6, No. 4, 2004
1) Bleeicher, L.S.: Serial Polar Transformations Of Simple Geometries
2) Djellit, I. and Boukemara I.: Bifurcations And Atractors In Bogdanov Map
3) Pais, J. and Singer R.: Visual Magic Squares And Group Orbits I
4) Pennock, S.: Of Torus And Turk's-Head Knots: A Polar Trigonometric Modeling
5) Zalaya, R. and Barrallo J.: Classification Of Mathematical Sculpture

Special E-book issue
Gerdes, P.: Basketry, Geometry And Symmetry In Africa And Americas

Volume 7, No. 1, 2005
"BRIDGES 2004" in "VisMath". The special Issue of "Visual Mathematics" dedicated to the Conference "Bridges 2004" includes only those articles that (a) were presented during the Conference, (b) their electronic versions were available, and (c) their subjects are related to the "Visual Mathematics" general theme.

1) Akleman, E., Edmundson P. and Ozener O.: A Generalized Vertex Truncation Scheme To Construct Intriguing Polyhedral Scheme
2) Bier, C.: Symmetry-Breaking in Oriental Carpets
3) Fisher, G. and Mellor B.: Topology Of Celtic Knot Designs
4) Gilley, A.: Fractalled: The Interstitial Spaces And Frank Gehry
5) Hansen-Smith, B.: Folding The Circle As Both Whole And Part
6) Hart, G.: A Salamander Sculpture Barn Raising
7) Kappraff, J.: Anatomy Of A Bud
8) Roelofs, R.: Glide Reflection And Other Combined Transformations
9) Sarhangi, R., Jablan S. and Sazdanovic R.: Modularity In Medieval Persian Mosaics: Textual, Empirical, Analytical, And Theoretical Considerations
10) Smith, J., Akleman E., Davison R. and Keyser J.: Multicam: A System For Interactive Rendering Of Abstract Digital Images

Volume 7, No. 2, 2005
1) Korren, A.: 2-Manifold Surfaces And Space Partitions
2) Palmer, C.: Spiral Tilings With S-Curves And C-Curves, Using Combinations To Augment Tradition
3) Schlatter, M.: How To Create Monolinear Mirror Curves

Volume 7, No. 3, 2005
Sixth Interdisciplinary Symmetry Congress and Exhibition, Tihany, Hungary, October 22-29, 2004

Volume 7, No. 4, 2005
1) Liao, G. and Sun C.: Geometric Pattern Design With Recursive Pursuit Relative Motions
2) Pennock, S.: Turk's Head Knots (Braided Band Knots) - A Mathematical Modeling

Volume 8, No. 1, 2006
"BRIDGES 2005" in "VisMath". The special Issue of "Visual Mathematics" dedicated to the Conference "Bridges 2005" includes only those articles that (a) were presented during the Conference, (b) their electronic versions were available, and (c) their subjects are related to the "Visual Mathematics" general theme.

1) Burns, A.M.: Recursion In Nature, Mathematics And Art
2) Crowe, D.W. and Washburn D.C.: Geometrical, Perceptual And Cultural Perspectives On Figure/Ground Differences In Bakuba Pattern
3) Dawson, R.J.MacG.: Some New Tilings On The Sphere With Congruent Triangles
4) Hart, G.W.: Orderly Tangles Revisited
5) Kalantari, B.: Two And Three-Dimensional Art Inspired By Polynomiography
6) Krawczyk, R.J.: Fermat's Spiral Mandalas
7) Roelofs, R.: Three-Dimensional And Dynamic Constructions Based On Leonardo Grids

Volume 8, No. 2, 2006
1) Gerdes, P.: Symmetries Of Alternating Cycle Matrices
2) Gerdes, P.: On The Representation And Multiplication Of Basic Alternating Cycle Matrices
3) Rigby, J. and Wichmann B.: Some Patterns Using Specific Tiles

Educational Papers:
Miyadera, R. and Minematsu D.: A Beautiful Figure Made Of 99999..9n

Volume 8, No. 3, 2006
1) Hafner, I. and Zitko T.: A Dissection Of Two Rhombic Dodecahedra Of The Second Kind To A Cube
2) Hafner, I. and Zitko T.: A Dissection Of Quarter Of Rhombic Dodecahedron Of The Second Kind To A Cube
3) Hafner, I. and Zitko T.: A Dissection Of Rhombic Triacontahedron
4) Stakhov, A.and Rozin B.: The Golden Section, Fibonacci Series And New Hyperbolic Models Of Nature

Volume 8, No. 4, 2006
1) Friedman, N.: Eva Hild: Topological Sculpture From Life Experience
2) Hess, M.C.: Binary Symmetry
3) Hafner, I. and Zitko T.: Dissection Of Rhombic 36-Hedron To A Tetrahedron And A Truncated Tetrahedron
4) Hafner, I. and Zitko T.: Equidecomposition Of Rhombohedron, Hexagonal Prism, And Rhombic Dodecahedron
5) Hafner, I. and Zitko T.: Hinged Dissection Of A Half Of Rhombic Icosahedron
6) Hafner, I. and Zitko T.: Hinged Dissection Of A Rhombic Solid To The Truncated Octahedron
7) Hafner, I. and Zitko T.: Hinged Dissection Of A Rhombic Solid To The Truncated Cuboctahedron
8) Hafner, I. and Zitko T.: Introduction To Rhombic Polyhedra
9) Kappraff, J.: Complexity And Chaos Theory In Art

Volume 9, No. 1, 2007
1) Hafner, I.: Live 3D Animations To Solution Of Conway-Radin-Sadun Problem
2) Hafner, I.: Animated Proof Of Conway-Radin-Sadun Problem
3) Hafner, I. and Zitko T.: Dissection Of Concave Triacontahedron
4) Miyadera, R. et all.: Pascal Like Triangles And Sierpinski Like Gaskets

webMathematica Book:
Jablan, S. and Sazdanovic R.: Linknot

Volume 9, No. 2, 2007
1) Hafner, I.: Hinged Dissection Of A "Rhombic" Solid To The Truncated Icosidodecahedron
2) Hafner, I.: Dissection Of A Rhombic Solid To The Truncated Dodecahedron And The Icosahedron
3) Hafner, I.: Equidecomposability Of Pentagonal Antiprism And Metabidiminished Icosahedron
4) Hafner, I.: Dissection Of Triangular Hebesphenorotunda, Stewart Toroid, And Drilled Pentagonal Gyrobicupola
5) Hafner, I.: Paper Model Solution Of Conway-Radin-Sadun Problem
6) Hafner, I.: Decomposition Of Three Bilunabirotundas And Dodecahedron To Rhombic Solids
7) Hafner, I.: Dissection Of Tridiminished Icosahedron (J63) And Stewart Toroid G3 To Rhombic Solids, And Dissection Of Icosahedron And Drilled G3 To Rhombic Solids
8) Hafner, I.: Dissection Of Small Stellated Dodecahedron And Great Stellated Dodecahedron To Rhombic Triacontahedron And Hexacontahedron
9) Marar, T.: Projective Planes And The Tripartite Unity
10) Wichmann, B. and Rigby. J.: A Penrose-Type Islamic Interlacing Pattern

Hofman-Jablan, J.: Symmetry Of Musical Work

Volume 9, No. 3, 2007
1) Gerdes, P.: Mwani Colour Inversion, Symmetery And Cycle Matrices
2) Hafner, I.: 4-Piece Dissection Of Juel's Pyramid To A Triangular Prism
3) Hafner, I.: Visual Examples Of A Theorem Of Axonometry
4) Hafner, I.: Three Dimensional Illustrations For Some Propositions From Euclid's Elements
5) Hafner, I.: 3D Illustrations To Chapter 8 Of Cromwell's Polyhedra
6) Stakhov, A.: Three "Key" Problems Of Mathematics On The Stage Of Its Origin, The "Harmony Mathematics" And Its Applications In Contemporary Mathematics, Theoretical Physics And Computer Science
7) Zefiro, L.: Review Of Alternative Choices Concerning Face Colouring Of All The Regular Convex Polyhedra And A Pair Of Catalan Polyhedra, The Rhombic Dodecahedron And The Rhombic Triacontahedron

Volume 9, No. 4, 2007
Book of Extended Abstracts of the 7th Interdisciplinary Congress and Exhibition of ISIS-Symmetry and the 6th National and 3rd International Congress of SEMA; FORM AND SYMMETRY, Buenos Aires, Argentina, 2007
2) Burt, M.: Periodic Sponge Surfaces And Uniform Sponge Polyhedra In Nature And In The Realm Of The Theoretically Imaginable
3) Olguin, G., Castellano L, Andrade E., Abraham M., and y de la Fuente, F.: Pas De Deux
4) Klein, P.: "Intermediate Matter": Conjectures On Imponderous Matter As Induced By Key Concepts Of Symmetry
5) Zefiro, L. and Ardig˜ M.R.: Description Of The Forms Belonging To The 235 And M35 Icosahedral Point Groups Starting From The Pairs Of Dual Polyhedra: Icosahedron-Dodecahedron And Archimedean Polyhedra-Catalan Polyhedra

Volume 10, No. 1, 2008
1) Funes, G., Garavaglia L. and Garavaglia M.: Hidden Symmetries Among Primes
2) Hafner, I.: Dissections Of Golden Rhomboedra
3) Hafner, I.: Gerling's Dissection

Volume 10, No. 2, 2008
1) Meel, D. and Youse (Gyrko) D.: No-Sew Mathematical Quilts: Needling Students To Explore Higher Mathematics
2) Stakhov, A.: The "Strategic Mistakes" In The Mathematics Development And The Role Of The Harmony Mathematics For Their Overcoming
3) Takaki, R.: Interaction Of Science And Art Through Educational System

Volume 10, No. 3, 2008
1) Abaza, H.: New Approach For Understanding The Golden Section
2) Burt, M.: Uniform Networks In 3-Dimensional Space
3) Galiunas, P.: Some Monohedral Tilings Derived From Regular Polygons
4) Ivancevic, T., Ivancevic N. and Jovanovic S.: Science And Art In Representing The Fifth Dimension
5) Keiter, J.P.: The Projection Sphere
6) Zefiro, L.: Generation Of An Icosahedron By The Intersection Of Five Tetrahedra: Geometrical And Crystallographic Features Of The Intermediate Polyhedra

Volume 10, No. 4, 2008
1) Perez, J-C.: Symmetry And Asymmetry In Mendeleiev's Periodic Table Predictive Equation
2) Redondo Buitrago, A. and Reyes Iglesias E.: The Geometry Of The Cordovan Polygons
2a) Redondo Buitrago, A. and Reyes Iglesias E.: La Geometria De Los Poligonos Cordobeses

Volume 11, No. 1, 2009
1) Stakhov, A.: Dirac's Principle Of Mathematical Beauty, Mathematics Of Harmony And "Golden" Scientific Revolution
2) Zefiro, L. and Ardigo' M.R.: What Become Of The Controversal Forteenth Archimedean Solid, The Pseudo Rhomb-Cuboctahedron?

Volume 11, No. 2, 2009
1) Naito, M., Doro S., Minematsu D., and Miyadera R.: The Self-Similarity Of The Josephus Problem And Its Variants
2) Taylor, L.: Decorative Knotting Using Trigonometric Parametrizations
3) Zefiro, L. and Ardigo' M.R.: Platonic And Catalan Polyhedra As Archetypes Of Forms Belonging To The Cubic And Icosahedral Systems

Volume 11, No. 3, 2009
1) Astrom, A., Astrom C.: Octagonal Knotworks: A Mathematical Approach
2) Naito, M., Yamauchi T., Matsui H., Inoue T., Tomari Y., Nashimura K., Nakaoka T., Minematsu D., Miyadera R.: Combinatorial Games And Beautiful Fraphs Produced By Them
3) Zefiro, L.: Dissection Of The Rhomb-Icosidodecahedron In Elementary Regular-Faced Polyhedra And Subsequent Reassembly Leading To A Set Of Johnson's Polyhedra
4) Zefiro, L.: Collection Of Forms Resulting From All The Combinations Of The Platonic And Catalan Polyhedra Which Characterize The m3 5 Icosahedral Point Group

Volume 11, No. 4, 2009
1) Miyader,a R., Minematsu D., Inoue T., Nakaoka T., Nashimura K., Naito M., Tomari Y., Yamauchi T., Totani, N.: Curious Properties Of Reiterated Processes And Beautiful Graphs Made By Them
2) Zefiro, L.: Collection Of The Couples Of The Archetypal Compound Forms Which Are Different In The 235 And m3 5 Icosaherdal Point Groups

Volume 12, No. 1, 2010

Special E-book issue dedicated to E. Lendvai
Lendvai, E.: Symmetries Of Music
Lendvai, E.: Symmetrien In Der Musik: Excerpts Of Lendvai's Works

Volume 12, No. 2, 2010
1) Gerdes, P.: Permutations And Copi Mats, Chidenguele, Mozambique
2) Gerdes, P.: A Way To Interlace An Octagonal Prism Invented By A Copi Basket Maker In Southeast Mozambique

1) Labarque, P.: Blueprint For A Classic Proof Of The 4 Color Theorem

E-book by Naomi Asakura
Asakura, N.: Fundamental Problems Of Creating In Two-Dimensional Space

Volume 12, No. 3, 2010
1) Harries, J.G.: Shape Analysis, Visual Art And The Axis Of Symmetry
2) Naito, M., Yamauchi T., Minematsu D. and Miyadera R.: The Josephus Problem In Both Directions
3) Petrovic, M. and Obradovic M.: Forming A Regular Pentagon, Decagon And Pentagram Using Origami Technique
4) Zefiro, L.: The Compound Of Three Octahedra And A Remarkable Compound Of Three Square Dipyramids, The Escher's Solid

Volume 12, No. 4, 2010
1) Bodnar, O.: Dynamic Symmetry In Nature And Architecture
2) Zefiro, L.: Occurence Of Square Faces In Composite Forms Relative To Icosahedral And Cubic Point Groups

Volume 13, No. 1, 2011
1) Blanco, M.F.B. and de Camargo Harris A.L.N.: Symmetry Groups In The Alhambra
2) Carter, J.S. and Mullens D.: Heron's Formula From A 4-Dimensional Perspective
3) Taylor, L.D.: Decorative Knot Patterns

Volume 13, No. 2, 2011
1) Bodnar, O.: Geometric Interpretation And Generalization Of The Nonclassical Hyperbolic Functions
2) Deniz, A., Koak S., …zdemir Y. and †reyen A.E.: Wallpaper Patterns With Self-Similar And Graph-Directed Fractal Lattice Units
3) Rasmussen, S.L.: Colorings Of Plane Patterns Defined By Sequences And Arrays, Inspired By Weaving Designs
4) Zefiro, L.: Vertex- And Edge-Truncation Of The Platonic And Archimedean Solids Leading To Vertex-Transitive Polyhedra


Educational institutions are encouraged to reproduce and distribute these materials for educational use free of charge as long as credit and notification are provided. For any other purpose except educational, such as commercial etc, use of these materials is prohibited without prior written permission. Readers may download papers for personal or educational use only, and not for any kind of commercial use. Illustrations can be used only as a part of the papers and by no means can be reused for any purpose without the permission of the owner of the copyrights.