number theory

Appears in 107 extracted records.

Back to Domains.

Representative papers

• Architecture and Mathematics: Art, Music and Science (1998)
• Pythagorean and Platonic Bridges between Geometry and Algebra (1998)
• What is the Difference between a Banjo and a Harley-Davidson Motorcycle? Answer: You Can Tune the Harley (1998)
• The Poetics of Mathematics in Music (1998)
• The Circle: A Paradigm for Paradox (1998)
• The Mathematics of the Just Intonation Used in the Music of Terry Riley (1999)
• Systems of Proportion in Design and Architecture and their Relationship to Dynamical Systems Theory (1999)
• Reading Numbers as a Metaphor of the Universe (1999)
• Maximally Even Sets (2000)
• A Fresh Look at Number (2000)
• BETTER BY THE DOZEN (2001)
• Constructing a Piano: A Key is Provided by Leonhard Euler (2001)
• Philosophical Collaboration (2002)
• A Museum Dedicated to the Concept of Harmony and the Golden Section (2002)
• A Unified Theory of Proportion (2003)
• Dynamical Systems: A Golden Gate from Auditory Physiology to Musical Aesthetics? (2003)
• Goldbach Tilings (2003)
• Stephen Eberhart Memorial Quilt – A Proposal (2004)
• On the Topology of Celtic Knot Designs (2004)
• [[papers/2005/bridges2005-347|$\zeta$-Irrationality Search: After a Golden Section Approach, Another Esthetic but Vain Attempt]] (2005)
• Making Mathematical Posters (2005)
• Playing Mathematics and Doing Music (2005)
• The Euclidean Algorithm Generates Traditional Musical Rhythms (2005)
• Moving Beyond Geometric Shapes: Other Connections Between Mathematics and the Arts for Elementary-grade Teachers (2006)
• Tiled Artworks Based on the Goldbach Conjecture (2006)
• Ancient Harmonic Law (2007)
• Golden Fractal Trees (2007)
• “Gödel, Escher, Bach”, in other Eras (2007)
• Art Projects (2007)
• Understanding Math via Arts ♦ Creating Arts via Math (2007)
• Building a Möbius Bracelet Using Safety Pins: A Problem of Modular Arithmetic and Staggered Positions (2008)
• Mathematical Secrets of Seven (2008)
• Three Musical Geometries (2008)
• Real Tornado (2009)
• Spirograph Patterns and Circular Representations of Rhythm: Exploring Number Theory Concepts Through Visual, Tangible and Audible Representations (2009)
• Mathematical Experiments with African Sona Designs (2009)
• Amateur and Pioneer: Simon Stevin (ca. 1548–1620) about Music Theory (2010)
• Poetry Inspired by Mathematics (2010)
• The Sunflower Spiral and the Fibonacci Metric (2010)
• The Poetry of Prime Numbers (2011)
• Mathematical Hints for Parameter Selection for AA Patterns (2011)
• A Representation for Whole Numbers and Their Factors (2011)
• The Sacred Cut (2011)
• Bridging Theater and Mathematics: a Mathematician’s View (2011)
• Teaching Temari: Geometrically Embroidered Spheres in the Classroom (2012)
• Celebrating Mathematics in Stone and Bronze: Umbilic Torus NC vs SC (2012)
• Poetry-with-Mathematics Workshop (2012)
• Math in Poetry: Half of a Course (2012)
• Art of π: Mathematical History and Literary Inspiration (2012)
• Learning Mathematics Through Dance (2013)
• Wallpaper Designs of Mirror Curves Inspired by African Sona (2013)
• Lattice Labyrinth Tessellations (2014)
• On Colouring Sequences of Digital Roots (2014)
• Three Games Involving Bungus and Prime Numbers (2014)
• Voronoi Phyllotaxis Tiling on the Fermat Spiral (2014)
• A Musical Scale Generated from the Ratio of Consecutive Primes (2015)
• An Exhibition of Exponential Sums: Visualizing Supercharacters (2015)
• Hearing Math and Seeing Music: a Workshop on Pitch Perception and Temperament (2015)
• Infinite Rhythmic Tiling Canons (2015)
• Julia Randall’s Poetic Finitude: Mapping the Infinite onto a Poem (2015)
• Math Bugs (2015)
• Koch-Like Fractal Images (2016)
• Prime Portraits (2016)
• Generalized Brunes Stars and System of Pythagorean Triples (2016)
• A Rose by Any Other Name… (2016)
• The Pentagonal Numbers Meet the Choose-4 Numbers (2016)
• Scales and Temperament from the Mathematical Viewpoint (2016)
• Non-Octave Guitar and Keyboard Designs for Ervin M. Wilson (2017)
• A Plethora of Patterns from Discrete Spiraled Sequences (2018)
• Card Shuffling Visualizations (2018)
• Exploring the Geometry of Music with Technology: Rhythm, Scales and Temperament via Geogebra (2018)
• Landmarks in Algebra Quilt (2018)
• Musical Scales and Multiplicative Groups (2018)
• The Art and Mathematics of Cycling: Using Old Bicycles to Draw Spirograph Patterns (2018)
• Divisible Skylines: Exploring Least Common Multiples and Divisibility through Visual Art (2019)
• How to Use Prime Numbers and Periodicity to Write a Poem (2019)
• Images Produced via Modular Multiplicative Inverse Filters (2019)
• Rhythm Domes: Applications of Euclid’s Algorithm to Architecture (2019)
• The Sum of Odd Integers Quilt (2019)
• Which Flower is It? (2019)