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1 (2001) VRML Web Java VRML (Virtual Reality Modeling Language) VRML Web VRML VRML VRML VRML Web VRML VRML, 3D 1. WWW (World Wide Web) WWW Mittag (2000) Web CGI Java XploRe (Härdle et al. (1999))

2 Web 3D VRML (Virtual Reality Modeling Language) 2. Web Web HTML Web GIF, JPEG GIF Web (1998) CGI GIF Java Web Macromedia Flash (http://www. macromedia.com/jp/software/flash/) Web VRML (http://www.vrml.org/) Alice (http://www.alice.org/) 3D 3D VRML Web 2.1 VRML VRML 3 HTML VRML Web 3 VRML 3 1 VRML 3D wrl #VRML V2.0 utf8 VRML2.0 UNICODE

3 VRML VRML.. Background { skycolor } RGB VRML (Box) (Cone) (Cylinder) (Sphere) 3 Shape { appearance Appearance { material Material {} } geometry Box {size 4 2 2} } Box VRML Cosmo Player Plug-in : cai.com/cosmo/ 1 VRML HTML <A> HREF ALT VRML2.0 zip VRML VRML HTML VRML VRML OS VRML

4 VRML VRML (i) 3 (ii) (iii) VRML VRML VRML VRML 2 VRML 3D 1 VRML Web VRML. 2. VRML 3D : ; :

5 VRML VRML (http://dataminig.timis.ac.jp/~yama/ vrml/) VRML 4 3D 3D 3D (1999)

6 VRML VRML Web VRML 2 Web 3D 3.1 VRML VRML 3D VRML VRML GIF, JPEG, PNG 5 VRML GIF CPU PC VRML VRML 1 VRML VRML VRML 6 2 VRML : sapporo.wrl Excel

7 VRML VRML POS (association rule) X Y. (support) (confidence) T (X Y ) 2

8 III IBM Quest (x, y) x, y (2000) III VRML VRML , III ( ) VRML VRML VRML 3.3 VRML VRML CGI VRML Web VRML VRML 8 3D Web 2

9 VRML VRML 3D S 4. VRML VRML Java Java Java VRML Java Java VRML 3 VRML VRML Cosmo Player Community Place (http: //www.sony.co.jp/products/communityplace/) Windows Flash VRML IE4.0 VRML2.0

10 VRML VRML PC VRML VRML Alice Web Härdle, W., Klinke, S. and Müller, M. (1999). XploRe Learning Guide, Springer, Berlin. Mittag, H.-J. (2000). Learning and teaching statistics in a networked world, 68, p (1999). Web VRML, (1998). Web CGI,, 11(1), (2000)., 14, 2 5.

11 Proceedings of the Institute of Statistical Mathematics Vol. 49, No. 2, (2001) 303 Statistical Graphical Representation in VRML Yoshiro Yamamoto (Faculty of Management and Information Science, Tama University) Tomoyuki Tarumi (Faculty of Environmental Science and Technology, Okayama University) Yoshiharu Sato (Graduate School of Engineering, Hokkaido University) Even though the statistical services provided on the Web have become general, almost all of the statistical graphics are still static. To provide a dynamic service, we can use Java language. However, there are several plug-ins for Web browsers with dynamic and interactive facilities. It is possible to easily make interactive statistical graphs by using these Internet technologies. VRML (Virtual Reality Modeling Language) is a modeling language that realizes virtual space with a VRML browser or a VRML Plug-in for a Web browser. By expressing the statistical graphics with VRML facilities, it becomes possible to materialize a method for new graphical application that does not rely on a platform. To make VRML statistical graphics, we have provided prototypes and disclose them to our home page. We have also provided a Web application to make VRML statistical graphics. Finally, we discuss present problems of VRML statistical graphics. Key words: VRML, 3D graphics, interactive graphical method.

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