Euclidean geometry

Appears in 101 extracted records.

Back to Domains.

Representative papers

• Pythagorean and Platonic Bridges between Geometry and Algebra (1998)
• Mathematics in Three Dimensional Design (1998)
• Geometrical Poetry (1998)
• The Circle: A Paradigm for Paradox (1998)
• The Sky Within: Mathematical Aesthetics of Persian Dome Interiors (1999)
• The Conceptual Mechanics of Expression in Geometric Fields (1999)
• The Square, the Circle and the Golden Proportion A New Class of Geometrical Constructions (2000)
• The Subtle Symmetry of Golden Spirals (2000)
• The Generation of the Cube and the Cube as Generator (2000)
• Mathematics and Art: Bill and Escher (2000)
• Beyond the Golden Section – the Golden tip of the iceberg (2000)
• Symmetries of Culture (2001)
• Flatland, Curved Space: How M. C. Escher Illustrated the History of Geometry (2001)
• Study and Application of African Designs for Use in Secondary Education (2001)
• Making Sense of “Tensegrities” (2001)
• Is It All About Triangles? (2001)
• Gridfield Geometry (2002)
• Preliminary Field Explorations in K-6 Math-Ed: The Giant Triangles as Classroom Manipulatives (2002)
• Kindred Spirits: Hafez in His Poetry, Mathematicians in Their Theories (2002)
• Geometry in Dali’s Painting (2003)
• Fractal Tessellations from Proofs of the Pythagorean Theorem (2004)
• Fractalled: The Interstitial Spaces And Frank Gehry (2004)
• From Hot Spots to High School Geometry and Calculus (2004)
• Art in Mathematics Classroom (2005)
• Space from Nonspace: Emergent Spatiality in Dynamic Graphs (2005)
• “Geometry” in Early Geometrical Disciplines: Representations and Demonstrations (2006)
• Mandala and 5, 6 and 7 fold Division of the Circle (2006)
• The Gemini Family of Triangles (2006)
• Baskets for the Mathematics Classroom (2007)
• Geometric Constructions and their Arts in Historical Perspective (2007)
• Revisiting the Geometry of the Sala de Dos Hermanas (2007)
• Symmetry and Structure in Twist-Hinged Dissections of Polygonal Rings and Polygonal Anti-Rings (2007)
• Zany Projects: The Art of Mixing Compass with Computer (2007)
• Create a Mathematical Banner Using the Lute, the Sacred Cut, and the Spidron (2008)
• Mathematical Secrets of Seven (2008)
• Some Interesting Observations Regarding the Spidrons (2008)
• Bourgoin’s 14-Pointed Star Polygon Designs (2010)
• Artformer Geometry (2010)
• Patterns from Archimedean Tilings Using Generalized Truchet Tiles Decorated with Simple Bézier Curves (2010)
• A Workshop in Geometric Constructions of Mosaic Designs (2010)
• A Nine- and Twelve-Pointed Star Polygon Design of the Tashkent Scrolls (2011)
• Geometry as a Source of Inspiration in Contemporary Art (2011)
• Using Triangle Parts to Create a Paper Quilt (2011)
• Creative Circle Design (2011)
• Mathematical Furniture (2011)
• Geometric Forms that Persist in Art and Architecture (2011)
• Pavimenta: A Photo Tiling Tool (2011)
• Folding Your Way to Understanding (2011)
• The partial implantation, at 1:2 scale, of Rabaçal’s Roman Villa (2011)
• Mohr or Mascheroni? (2012)
• Introducing the use of the Primary Isosceles Triangles of Regular Polygons to Produce Self Similar Patterns (2012)
• The “Golden Canon” of Book-Page Design: A Visual Presentation Using Geometer’s Sketchpad (2012)
• Meta-Vermeer: A Topological Reinterpretation of a Masterpiece (2012)
• Digital Sangaku (2012)
• Geometric Analysis of Forumad Mosques’ Ornaments (2013)
• Mathematics Education and Early Abstract Art (2013)
• Rendering 3D Tessellations with Conformal Curvilinear Perspective (2013)
• Symmetry in Mathematics, Physics and Art (2013)
• Forms from Minkowski Triples of Circles (2014)
• [[papers/2014/bridges2014-111|Sangaku—Japanese Mathematics and Art in the $18^{\text{th}},19^{\text{th}}$ and $20^{\text{th}}$ Centuries]] (2014)
• A Concept Map for Book 1 of Euclid’s Elements (2015)
• Chains of Antiprisms (2015)
• Curved Islamic Star Patterns of Medieval Egypt and Syria (2015)
• Eight-Pointed Star and Precise Construction of 7 × 7 Square Grid (2015)
• Mathematics through the Lens of a Kaleidoscope: A Student Centered Approach to Building Bridges between Mathematics and Art (2015)
• The Geometric Studies of Some Mosaic Design Compositions and Puzzles Presented in a Thirteenth Century Treatise (2015)
• Some Girihs and Puzzles from the Interlocks of Similar or Complementary Figures Treatise (2016)
• Analysis of the Geometric Decorations of the Stone Half-Columns of the Friday Mosque of Isfahan (2016)
• Generalized Brunes Stars and System of Pythagorean Triples (2016)
• The Golden Ratio and the Diagonal of the Square (2016)
• The Pythagorean Theorem as a Rooted In-tree Dependency Graph (2016)
• Legerdemain: Exploring Tessellation with CatsEye (2016)
• Similarity Drawn Freehand (2016)
• From Rabbit Ears to Origami Flowers: Triangle Centers and the Concept of Function (2017)
• Geometric Factors and the Well Dressed Solids of Archimedes (2017)
• Geometry of Quadrangles in Almqvist’s The Queen’s Tiara (2018)
• Mathematics in Drafting Japanese Crest Designs (2018)
• The Pentagram and the Golden Angle in Almada Negreiros’ Mural “Começar” (2018)
• Virtual Crocheting of Euclidean Planes in a 3-Sphere (2018)
• Voronoi Diagrams: Didactical and Artistic Applications (2018)