fractal geometry

Appears in 114 extracted records.

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Representative papers

• Mathematics in Three Dimensional Design (1998)
• The Sky Within: Mathematical Aesthetics of Persian Dome Interiors (1999)
• The Art-Science Marriage, From Quarrel to Understanding (1999)
• Applications of Fractal Geometry to the Player Piano Music of Conlon Nancarrow (2000)
• Some Common Themes in Visual Mathematical Art (2001)
• Fountain of Creation – Design vs. Meta-Design (2001)
• A Transformation Sketchbook (2002)
• Techniques for Artistically Rendering Space-Filling Curves (2002)
• Graphical Fractals Based on Circles (2002)
• Exploring the Effect of Direction on Vector-Based Fractals (2002)
• Layering Fractal Elements to Create Works of Art (2002)
• Fractal Geometry And Self-Similarity In Architecture: An Overview Across The Centuries (2003)
• A Generalized Vertex Truncation Scheme to Construct Intriguing Polyhedral Shapes (2004)
• Fractal Tessellations from Proofs of the Pythagorean Theorem (2004)
• Fractalled: The Interstitial Spaces And Frank Gehry (2004)
• Fractal Tilings Based on Dissections of Polyhexes (2005)
• Recursion in Nature, Mathematics and Art (2005)
• Symmetries and Design Science (2005)
• Illuminating Chaos – Art on Average (2006)
• Knot Designs from Snowflake Curves (2006)
• Non-Euclidean Symmetry and Indra’s Pearls (2006)
• Amazing Labyrinths (2007)
• Composite Diffusion Limited Aggregation Paintings (2007)
• Does it Look Square? Hexagonal Bipyramids, Triangular Antiprismoids, and their Fractals (2007)
• Golden Fractal Trees (2007)
• The 7 Curve, Carpets, Quilts, and Other Asymmetric, Square-Filling, Threaded Tile Designs (2007)
• A Fractal Crystal Comprised of Cubes and Some Related Fractal Arrangements of other Platonic Solids (2008)
• From Sierpinski Triangle to Fractal Flowers (2008)
• Manipulating Images with Fractal Julia Sets (2008)
• Mathematics in Rangolee Art from India (2008)
• The Hidden Art in a Dynamic Geometry Software Program (2008)
• A Garden of Statistically Self-Similar Plants (2009)
• Realistic Image Making with Mandelbrot Set (2009)
• Mathematical Classroom Quilts (2009)
• Exploring Some of the Mathematical Properties of Chains (2009)
• The Art of Iterated Function Systems With Expanding Functions (2009)
• Some Three-dimensional Self-similar Knots (2010)
• Creating and Modifying Images Using Newton’s Method for Solving Equations (2010)
• Using Mathematics in Art (2010)
• Brunnian Weavings (2010)
• Constructing Sierpinski Triangle with Rings (2010)
• Mandel-Bach Journey: A Marriage of Musical and Visual Fractals (2010)
• Photographic Fractal Trees (2011)
• Creating Two and Three Dimensional Fractals from the Nets of the Platonic Solids (2011)
• Fractal Aesthetics in Geometrical Art Forms (2011)
• Mandelbrot Sound Map - A Tool for Mapping Fractals into Sounds (2011)
• Decalcomania (2011)
• Human Geometry Workshop (2011)
• Mitered Fractal Trees: Constructions and Properties (2012)
• Simple Rules for Incorporating Design Art into Penrose and Fractal Tiles (2012)
• Fun with Chaotic Orbits in the Mandelbrot Set (2012)
• Using Technology to Explore the Geometry of Navajo Weavings (2012)
• Constructing and Applying the Fractal Pied de Poule (Houndstooth) (2013)
• Learning Mathematics Through Dance (2013)
• Mathematical Beading as Molecular Analog Computation: An Example from Beaded Sierpinski Buckyball (2013)
• Removing Tremas with a Rational Function (2013)
• Unfolding Symmetric Fractal Trees (2013)
• A Plane-Filling Curve Using Ammann A5 Tiles (2014)
• An Introduction to Leaping Iterated Function Systems (2014)
• Creating Self Similar Tiling Patterns and Fractals using the Geometric Factors of a Regular Polygon (2014)
• Design of a Nature-like Fractal Celebrating Warp-knitting (2014)
• Engaging Groups with Large-Scale Construction Events (2014)
• Some Hyperbolic Fractal Tilings (2014)
• The Art of Random Fractals (2014)
• A Novel Line Fractal Pied de Poule (Houndstooth) (2015)
• Fractal Wallpaper Patterns (2015)
• “In an Ocean of Ashes”: Order and Chaos in Mathematics and Literature (2015)
• A New Algorithm for Rendering Kissing Schottky Groups (2016)
• Fractal Gaskets: Reptiles, Hamiltonian Cycles, and Spatial Development (2016)
• Immersion in Mathematics (2016)
• Koch-Like Fractal Images (2016)
• The Rhythm of a Pattern (2016)
• Fractal Flipbooks (2016)
• Plane-filling Curves on Transitive Grids (2016)
• 3D Printable Golden Sponges (2017)
• Hidden Beauty in Penrose Tiling: Weavings & Lace (2017)
• Sculptural Forms Based on Radially-developing Fractal Curves (2017)
• Symmetric Binary Trees with Branching Ratios Larger than 1 (2017)
• The Artful Kaleidoscopes of the Circular and Spherical Bells (2017)
• The Sound of Space-Filling Curves (2017)