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In the 4th IMS, held in Japan in 2001, I talked about "Web Applications using J/Link for Math Education" and introduced some web applications that calculate a client's request with the Mathematica kernel on the web server and return the result back to the client. In this paper, I describe two main improvements I have made on these applications. The first is the integration of different web applications. Combining several separate applications dealing with 3D figures enables you to carry out more interesting and effective operations for 3D figures. For example, consider two applications: one for drawing quadrics and the other for cutting solids. If they are joined together, the user can freely draw a quadrics and cut through its surface. This can help students to learn mathematical properties of quadrics and conic section.

The second improvement consists of four new web applications added to the site. On these applications, the user can draw semi-transparent polyhedra, plot beautiful chaos images, enjoy "Origami" on the web and so on. They are based on my new packages and the powerful function of "JavaView". I hope that students enjoy these applications and get interested in mathematics.

This paper describes the implementation of an origami programming environment. The origami programming environment enables us to construct sophisticated origamis by calling origami folding functions with parameters necessary to define a fold. The Mathematica notebook with our origami environment package can become the place for constructing origamis step-by-step. The origami programming environment goes further than just simulating origami found in the literature, as it performs intriguing combinations of symbolic, numeric and graphic computations. We show examples taken from well-known pieces of origami art and from a mathematical origami construction.