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 and 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)