Papers Related to Mathematics and Art

The following papers, arranged in reverse chronological order, are available as pdf downloads.

Ceramic-based Mixed Media Topological Sculpture, Robert W. Fathauer, Proceedings of Bridges 2024: Mathematics, Music, Art, Architecture, Culture (2024), pages xx-xx.

Ceramic Bells: Aural Performance and Geometric Design, Robert W. Fathauer, Proceedings of Bridges 2023: Mathematics, Music, Art, Architecture, Culture (2023), pages 283-290.

Crested Cactuses and Mathematical Sculpture, Robert W. Fathauer, Proceedings of Bridges 2022: Mathematics, Music, Art, Architecture, Culture (2022), pages 111-118.

Logarithmic Spiral Tilings of Triangles, Robert W. Fathauer, Proceedings of Bridges 2021: Mathematics, Music, Art, Architecture, Culture (2021), pages 55-62.

A Method for Creating Dendritic Fractal Tiles, Robert W. Fathauer, Proceedings of Bridges 2020: Mathematics, Music, Art, Architecture, Culture (2020), pages 49-56.

Walkable Curves and Knots, Robert W. Fathauer, Proceedings of Bridges 2019: Mathematics, Music, Art, Architecture, Culture (2019), pages 13-20.

Art and Recreational Math Based on Kite-Tiling Rosettes, Robert W. Fathauer, Proceedings of Bridges 2018: Mathematics, Music, Art, Architecture, Culture (2018), Pages 15-22.

Fractal Gaskets: Reptiles, Hamiltonian Cycles, and Spatial Development, Robert W. Fathauer, Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Culture (2016), Pages 217-224.

Some Hyperbolic Fractal Tilings, Robert W. Fathauer, Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (2014), Pages 87-94.

Aesthetic Patterns Based on Fractal Tilings, Peichang Ouyang and Robert W. Fathauer, IEEE Computer Graphics and Applications, Pages 6-14 (2014).

Iterative Arrangements of Polyhedra - Relationships to Classical Fractals and Haüy Constructions, Robert W. Fathauer, Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013), Pages 175-182.

Two-color Fractal Tilings, Robert W. Fathauer, Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012), Pages 199-206.

Photographic Fractal Trees, Robert W. Fathauer, Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011), Pages 105-112.

Some Three-dimensional Self-similar Knots, Robert W. Fathauer, Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (2010), Pages 103-110.

Fractal Tilings Based on Dissections of Polyominoes, Polyhexes, and Polyiamonds, Robert W. Fathauer, Homage to a Pied Piper, edited by Ed Pegg, Jr., Alan H. Schoen, and Tom Rogers, A.K. Peters, Wellesley, MA, pp. 145-158 (2009).

A New Method for Designing Iterated Knots, Robert W. Fathauer, Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture (2009), Pages 251-258.

A Fractal Crystal Comprised of Cubes and Some Related Fractal Arrangements of other Platonic Solids, Robert W. Fathauer, Hank Kaczmarski and and Nicholas Duchnowski Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture (2008), Pages 289-296.

Fractal Knots Created by Iterative Substitution, Robert W. Fathauer, Bridges Donostia: Mathematics, Music, Art, Architecture, Culture (2007), Pages 335-342.

Fractal Tilings Based on Dissections of Polyominoes, Robert W. Fathauer, Bridges London: Mathematics, Music, Art, Architecture, Culture (2006), Pages 293-300.

Fractal Tilings Based on Dissections of Polyhexes, Robert W. Fathauer, Renaissance Banff: Mathematics, Music, Art, Culture (2005), Pages 427-434.

Fractal Patterns and Pseudo-tilings Based on Spirals, Robert W. Fathauer, Bridges: Mathematical Connections in Art, Music, and Science (2004), Pages 203-210.

Graphical Fractals Based on Circles - Abstract, Robert W. Fathauer, Bridges: Mathematical Connections in Art, Music, and Science (2002), Page 305.

Fractal tilings based on v-shaped prototiles, Robert W. Fathauer, Computers and Graphics, Vol. 26, pp. 635-643 (2002).

Fractal tilings based on kite- and dart-shaped prototiles, Robert W. Fathauer, Computers and Graphics, Vol. 25, pp. 323-331 (2001).

Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons, Robert W. Fathauer, Bridges: Mathematical Connections in Art, Music, and Science (2000), Pages 285-292

Extending Escher's Recognizable-Motif Tilings to Multiple-Solution Tilings and Fractal Tilings, Robert W. Fathauer, M.C. Escher's Legacy - A Centennial Celebration, edited by Doris Schattschneider and Michele Emmer, Springer, pp. 154-165 (2002).

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Robert Fathauer's Fractal Diversions home

Fractal Tiling Fractal Knots Gasket Fractals Fractal Trees Hyperbolic & Folded Fractals Polyhedra Papers etc.