Papers

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

e-BOOK:

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,
THEORETHICAL 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

1) SYMMETRY: ART AND SCIENCE
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 Ardigò 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

2008

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

2009

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) Miyadera 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

2010

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

Conjectures

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

2011

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., Koçak S., Özdemir Y. and Üreyen A.E.: WALLPAPER PATTERNS WITH SELF-SIMILAR AND
GRAPH-DIRECTED FRACTAL LATTICE UNITS

3) Miller A.R.: FLUTED TUBES AND WAISTED CIRCLES

4) Rasmussen S.L.: COLORINGS OF PLANE PATTERNS DEFINED BY SEQUENCES AND
ARRAYS, INSPIRED BY WEAVING DESIGNS

5) Zefiro L.: VERTEX- AND EDGE-TRUNCATION OF THE PLATONIC AND ARCHIMEDEAN
SOLIDS LEADING TO VERTEX-TRANSITIVE POLYHEDRA

5) Zefiro L.: REGULAR-SHAPED FACES IN SOLIDS WITH CUBIC SYMMETRY DERIVED FROM
TRUNCATION PROCESS BY RHOMB_DODECAHEDRON OR CUBE

2012

Volume 14, No. 1, 2012

1) Bodnar O.: MINKOWSKI GEOMETRY IN THE MATHEMATICAL MODELING OF NATURAL PHENOMENA

2) Zefiro L.: REGULAR-SHAPED FACES DERIVING FROM THE TRUNCATION OF SOLIDS WITH ICOSAHEDRAL SYMMETRY BY A RHOMB-TRIACONTAHEDRON

Volume 14, No. 2, 2012

1) Nakamura S., Minematsu D., Kitagawa T., Naito Y., Fujii R., Hieda T. and Miyadera R.:
CHOCOLATE GAMES THAT ARE VARIANTS OF NIM AND INTERESTING GRAPHS MADE BY THIS GAMES

2) Ramachandram V.V.S.: DYNAMICS IN GROUPS

3) Stakhov A.: A GENERALIZATION OF THE CASSINI FORMULA

Volume 14, No. 3, 2012

1)Gerdes, P.: A NUER DANCE RATTLE (SOUTH SUDAN) PLAITING AN OCTAHEDRAL SHAPE

2) Lazureanu, C.: ON THE CORDOVAN OGIVE