Submitted by Francesco de Comité on
I have no 3D intuition. I began to render math models using a ray-tracing software (Povray). But I needed to draw several images to get an idea of the 3D aspect of those models. Then I began to learn Blender, in order to be able to turn around my models. Next step was to ask a 3D printing company to create real-world models. I can know handle my creations, and look at them from any angles in a second. Here is a selection of those tries.
Submitted by Kurt Ballay on
As a constructional engineer, born in 1944, I am self-taught in mathematics and art.
Submitted by Francesco de Comité on
Doyle Spirals are a particular case of circle packing: each circle is surrounded with 6 tangent circles. When the parameters are well chosen (and this is the hard stuff), this circle packing can tile the plane. Applying to this tiling geometric transformations preserving the tangency property, one can create elegant patterns. This work was initiated while looking at the beautiful and challenging images created by Jos Leys.
Submitted by George Hart on
A cool activity for making a giant mathematical construction by assembling cardboard components.
Submitted by Wizard Gynoid on
The E8 Polytope is an 8-dimensional object considered by mathematicians to be the most elegantly symmetrical and aesthetically pleasing geometric object known. Here we see 3D and 2D projections (shadows) of the 8D object. Of particular interest are the various symmetry axes, some of which display icosahedral, hexahedral and octahedral symmetries. The vertical symmetry axis resolves into the familiar concentric circles graph, with an unobstructed tunnel running through the complex object.
Submitted by michael jantzen on
Super Symmetry is a series of my digital photos that are derived from images of physical models that I make of my architectural designs. In most cases, the original image is manipulated with a computer (through the use of Photo Shop) in order to create a new image. Some times these new images are once again made into three dimensional structures, in an attempt to discover unexpected new forms. Often the new three dimensional forms are photographed once again in order to create more images. In every case, the objective is to create images that celebrate the beauty of complexity.
Submitted by Alan Singer on
This is a test of a color map using Cinderella software. I am interested in creating multi-color wave patterns.
I intend to use these color patterns to wrap complex 3D forms.
Submitted by Christian Gaier on
Christian Gaier creates colorful geometric-mathematical pictures and videos as hobby. He developed a set of mathematical functions to visualize basic geometric objects (line, circle and arc) in a surrounding colorful field. These functions can be easily combined to create more complex geometric structures. The main idea is that these functions deliver zero values at the position of the geometric object. Therefore, combinations of these functions can be easily realized by simple multiplications. The software units for picture computation are written in the programming language C.
Submitted by Kurt Ballay on
As a constructional engineer, born in 1944, I am self-taught in mathematics and art.
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).