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|-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)