Submitted by Eleonore Faber on
This gallery contains visualizations of so-called free surfaces.
Freeness is an algebraic property, which is not so easy to explain: roughly, it means that a free surface has singular curves, which have a very “nice” algebraic structure (i. e., their defining ideal, the Jacobian ideal of the surface, is Cohen—Macaulay).
Every year several earthquakes occur on planet Earth with severe loss of human lives. During an earthquake most of us already experienced the vibrations at the Earth’s surface due to the propagation of the seismic waves along the crust. The main question we intend to answer with this project is: How do the seismic vibrations affect the civil engineering structures like bridges, dams or buildings?
Submitted by Bianca Violet on
These images were created using SURFER. I first started playing around with this wonderful tool when I read about it in ‘Spektrum der Wissenschft’ and took part in the Surfer competition 2008.
Submitted by Jean Constant on
Series of visualizations based on a template created by mathematician Richard Kramer for a lecture on symmetry at the National Center for Genome Resources, Santa Fe, NM.
Submitted by Jean Constant on
Graphic interpretation of several tow and three dimensional mathematical visualization galleries available in Richard Palais’ 3DXplorMath program, including space curves, minimal surfaces and conformal maps.
Submitted by Jean Constant on
Variation on pseudo spherical surfaces (Soliton and Breather) created for an IRCAM - Mathematics and Music symposium in Paris, 2010.
Submitted by Jean Constant on
Sangaku were colorful tablets found in Shinto shrines in Japan during the Edo period and posing mathematical problems. They related to both principle of Euclidean geometry and more advanced mathematical issues requiring calculus and affine transformations. They were also original examples of widespread use of visualization in the teaching and appreciation of mathematics.
Submitted by Jean Constant on
Polyhedra refer to a variety of related constructs, some geometric, others purely algebraic or abstract. Often named after the number of faces they have, most polyhedra are symmetrical and provides a geometric perspective for problems in linear programming. The following is an attempt at blending pure programming visualization and geometry.
Submitted by Jean Constant on
Pattern recognition deal with issues in cognitive and neuroscience as well as mathematics, particularly in CAD systems, optical recognition and image analysis. From abstract outline classification to the addition of shapes, forms and color scheme and visualization techniques it allows a better understanding of the complexity of mapping and recognition in the visual environment.
Submitted by Jean Constant on
From the work of mathematician Richard Denner on polyhedral eversions. Two-dimensional interpretation of a three dimensional problem.