combinatorics

Appears in 265 extracted records.

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Representative papers

• The Mathematics of Steve Reich’s Clapping Music (1998)
• Aesthetics, Beauty, and Computer Science (1999)
• The Theater of Mathematics and the Mathematics of the Theater (1999)
• Music, Mathematics, and Magnetic Ordering (1999)
• Maximally Even Sets (2000)
• What Do you See? (2000)
• The Rubik’s-Cube Design Problem (2000)
• Mirror Curves (2001)
• Sona Sand Drawings and Permutation Groups (2001)
• Creating Prelude Music Using Number Patterns (2001)
• Sculptural Interpretation of a Mathematical Form (2002)
• A Mathematical Analysis of African, Brazilian and Cuban Clave Rhythms (2002)
• The Knight’s Tour Problem as a Conceptual Tool for Interdisciplinary Studies (2002)
• Set Operations in the Music of Nikolai Roslavets (2002)
• A Musical Suite Based on the Platonic Solids (2002)
• From a Subdivided Tetrahedron to the Dodecahedron: Exploring Regular Colorings (2002)
• Pure-Tone Approximation to Equal-Temperament: How Close is Close? (2002)
• Composable Art: Objects That Can Be Arranged in Many Ways (2003)
• A Unified Theory of Proportion (2003)
• Classification and Phylogenetic Analysis of African Ternary Rhythm Timelines (2003)
• Folding Polyhedra and Painting Mosaics (2003)
• Origami: A Good Way to Communicate Mathematics (2003)
• Goldbach Tilings (2003)
• The Reflected Binary Gray Code Transform (2004)
• Hamiltonian Cycles on Symmetrical Graphs (2004)
• Modular Origami in the Mathematics Classroom (2004)
• Applications for the Study of Tilings (2004)
• An Introduction to the Tiling Properties of the Tangram and Their Application in Two and Three Dimensions (2004)
• Cognitive Models of Music and Painting (2004)
• Asymmetric Rhythms, Tiling Canons, and Burnside’s Lemma (2004)
• On the Topology of Celtic Knot Designs (2004)
• Permuting Heaven and Earth: Painted Expressions of Burnside’s Theorem (2004)
• Aesthetic Aspects of Venn Diagrams (2005)
• Circular Distributions and Spectra Variations in Music (2005)
• Geometry and Harmony (2005)
• Mathematical Measures of Syncopation (2005)
• On Parsimonious Sequences as Scales in Western Music (2005)
• Spiral Tilings with C-curves Using Combinatorics to Augment Tradition (2005)
• Symmetrical Hamiltonian Manifolds on Regular 3D and 4D Polytopes (2005)
• The Complexity of the Musical Vocabulary of the Nzakara Harpists (2005)
• A New Use of the Basic Mathematical Idea of Twelve-Tone Music (2006)
• Collaborative Su Doku Quilt (2006)
• Bridging the gap - a search for a braid language (2006)
• Chromatic Fantasy: Music-inspired Weavings Lead to a Multitude of Mathematical Possibilities (2006)
• Constellations of Form: New Compositional Elements Related to Polyominoes (2006)
• In Search of Demiregular Tilings (2006)
• Introducing the Precious Tangram Family (2006)
• Magic Stars and Their Components (2006)
• Mathematics and Music – Models and Morals (2006)
• Moving Beyond Geometric Shapes: Other Connections Between Mathematics and the Arts for Elementary-grade Teachers (2006)
• Musical Scales, Integer Partitions, Necklaces, and Polygons (2006)
• Playing Musical Tiles (2006)
• Sand Drawings and Gaussian Graphs (2006)
• Steve Reich’s Clapping Music and the Yoruba Bell Timeline (2006)
• Zellij Multipuzzle (2006)
• 2D and 3D Animation Using Rotations of a Jordan Curve (2007)
• Mathematical Models for Binarization and Ternarization of Musical Rhythms (2007)
• Symmetric Embedding of Locally Regular Hyperbolic Tilings (2007)
• The 7 Curve, Carpets, Quilts, and Other Asymmetric, Square-Filling, Threaded Tile Designs (2007)
• Counting the Number of Site Swap Juggling Patterns with Respect to Particular Ceilings (2008)
• Background Ambiguity (2008)
• SUDOKU Puzzle Generates a Minimal Art Sculpture (2008)
• Triblock Origami Spheroid Workshops (2008)
• Visualization of Rhyme Patterns in Two Sonnet Sequences (2008)
• Aesthetically Pleasing Azulejo Patterns (2009)
• Coloring Uniform Honeycombs (2009)
• Kircher’s Mechanical Composer: A Software Implementation (2009)
• Tiling the Musical Canon with Augmentations of the Ashanti Rhythmic Pattern (2009)
• Text from Truchet Tiles (2009)
• The Quinary—Permuting Meaning with Generative Poetry (2009)
• Bridges 09 Interactive Workshop: The Geometry of Longsword and Rapper Sword Locks (2009)
• Harmonious Dances (2009)
• Combinatoria Poetica (2009)
• The System Approach and Design (2010)
• Vasarely’s Work– Invitation to Mathematical and Combinatorial Visual Games (2010)
• Some Possibilities of Russian Combinatorial Literature (2010)
• Borromean Rings & Three Fold Knots (2010)
• Models of Locally Regular Heptagonal Dodecahedra (2010)
• The Sunflower Spiral and the Fibonacci Metric (2010)
• Classification and Comparison of Different Folk Music Traditions Using Self Learning Algorithms (2010)