I graduated from the fine-art university, and my speciality is Japanese-painting. Recently, I have been providing for Mathematical Society of Japan with posters in the style of Japanese-painting. In this talk, I will talk about manner of working, why I select Japanese painting and attractiveness of the art.
Bunraku, also known as Ningyō jōruri, is the traditional Japanese puppet theater founded in Osaka in 1684. In this 14 years, I worked at National Bunraku Theatre to maintain these puppets, and I retired. In this talk, I will talk about 'gofun'.
Eversing a spheare means to turn a sphere in the 3-space inside out. It is allowed that a surface passed though itself, but punching and pinching are forbidden. S. Smale first proved in 1958 that it is possible to evert a sphere, Since then several visualizations are given. In this talk, we describe a new way of eversion where the behavior of apparent counter is quite simple. We also visualize how the curves of self-intersection are deformed. This is a joint work with Minoru Yamamoto (Aichi University of Education)
A quandle is an algebraic system having a self-distributive binary operation whose definition is motivated in knot theory. Associated with a knot (an embedded circle in the 3-dimensional space), we have the knot quandle. A coloring of a knot is a homomorphism from the knot quandle to a quandle. The speaker and Yuichi Kabaya showed that a coloring of a knot gives a triangulation for the knot complement. In this talk, we overview quandle theory and review this work.
We often notice strikingly brilliant insects and birds in our neighborhood. These are the colors based on the purely physical operation of light such as interference and diffraction of light, and are generally called structural color. As a representative of the structural colors, we can exemplify the Morpho butterflies living in Central and South America. The wing of this butterfly is covered with an enormous number of scales, on which many lines called ridge are equipped. On both sides of the ridge, several shelves, which remind us of a bookshelf in a library, are equipped with the separation of 200 nm. The blue color of this butterfly is considered to be originated from this regular shelf structure. On the other hand, if we compare the ridges, their heights are randomly distributed, which makes the light diffusely reflected. Thus, their nanostructures provide the blue reflection on one hand, while they produce the diffusive light on the other hand. Such multi-functionality is quite common in living beings, which differs considerably from industrial products. I will overview the nanostructures and their functions found in a variety of animals.
We are developing techniques for novice users to produce advanced media contents such as 3D graphics and animation, as well as those for designing real world objects such as garments and furniture. These techniques build on efficient and robust algorithms that compute shapes that satisfies geometric and physical requirements and user interfaces that allow intuitive and effective edits. I will introduce these results with live demonstration of working systems.
A surface knot is an embedded surface in the 4-dimensional space. Although a surface knot cannot see directly by physical reason, we have several diagrammatic methods to extract its visual features. A diagram is one such way: a diagram is a projection image of a surface knot in the 3-dimensional space with height information. Since a diagram is an object in the 3-dimensional space, it seems to be a natural idea that we use 3D modeling to draw and investigate a diagram.
However, 3D modeling has not used to investigate surface knots excepting a few works. So in this talk, the speaker introduces usefulness of 3D modeling for surface knot theory.
In making movies, games and audiovisual contents, computer graphics (CG) and visual effects (VFX) are very useful. It is interesting that many ideas or techniques using mathematics are used for many purposes (basic researches and improvements etc.) recently.
In this talk, we introduce some examples with mathematical backgrounds and applications for making "designer-friendly" interfaces. Especially, we plan to explain:
We also give a fast-report of SIGGRAPH 2011 that is one of the largest international conference on computer graphics.