Yoshiaki Araki

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In this paper, we introduce the design and implementation of VSPLUS, a high-level multiuser extension library to enable people to simultaneously manipulate interactive VRML worlds over networks. The key consideration of the VSPLUS design is the ease of creations of multiuser worlds from single-user standard VRML worlds without extensive programming efforts.(More)
Let Γ be a 3-dimensional Kleinian punctured torus group with accidental parabolics. The deformation space of Γ in the group of Möbius transformations on the 2-sphere is well-known as the Maskit slice of punctured torus groups. In this paper, we study the deformation space of Γ in the group of Möbius transformations on the 3-sphere, where Γ is naturally(More)
This paper reports experiments of materializing recent new discovered mathematical surfaces, 3D quasi-Fuchsian fractals. Three different models in glass, plastic, and metal are created to realize rich mathematical properties including self-similarity, 3-embeddable, simply-connected, and complicated surface consisting of infinite number of cusps. Different(More)
Let Γ be a 3-dimensional Kleinian punctured torus group with accidental parabolic transformations. The deformation space of Γ in the group of Möbius transformations on the 2-sphere is well-known as the Maskit slice M 1,1 of punctured torus groups. In this paper, we study deformations Γ ′ of Γ in the group of Möbius transformations on the 3-sphere such that(More)
In this paper, we investigate the common unfolding between regular tetrahedra and Johnson-Zalgaller solids. More precisely, we investigate the sets of all edge developments of Johnson-Zalgaller solids that fold into regular tetrahedra. We show that, among 92 Johnson-Zalgaller solids, only J17 (gyroelongated square dipyramid) and J84 (snub disphenoid) have(More)
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