JAVA Gallery of Interactive On-Line Geometry

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New: WebEQ 2.2 is released!

JAVA Gallery of Interactive Geometry:

In order to enjoy this exhibit, you will need a Java-capable Web browser (Netscape 2.0 for Unix or IBM PC, Netscape 3.0b for Macintosh).

WebEQ

WebEQ is a java applet that allows web authors to include mathematics in their web pages. It implements the HTML3.0 specification for mathematics notation, and is an important step toward making the Web more valuable for scientific research.

For more about WebEQ, go to WebEQ.com

Hyperbolic Triangles

How big are triangles in the hyperbolic plane? Interactively explore the shape and size of these triangles using this applet. You will see how triangles with their vertices infinitely far apart will still have finite area!

Lorenz Simulation

This applet implements numerical simulation of the famouse Lorenz Equations. You will see the 3-dimensional "Lorenz attractor" from two different viewpoints, and can trace the trajectories of points as they travel through the attractor. Simply choose a starting point and see what happens!

One-Dimensional Iteration

The process of iteration is central to the study of fractals. This applet implements a classic example where a quadratic map is iterated. The effects can produce a wide range of results, including chaotic behaviors. You can explore these possibilites by changing a slider that modifies a parameter of the system.

Tetris

This applet implements a simple version of tetris that was the subject of the author's mathematical research into the game. This is one game you are destined to lose!

Leap Fractal

Leap Fractal is a version of the "chaos game" popularized by Robert Devaney's Dynamical Systems and Technology Project at Boston University. In Leap Fractal, the object is to use linear transformations to move around on a game board shaped like Sierpinski's triangle, a famous fractal.

Fractals from Iterated Function Systems

IFSoft is a collection of programs for creating and animating fractals. The fractals are the attractors of iterated function systems. By manipulating the parameters of the system, you can create a wide variety of colorful and surprising shapes and animations.

Kali: Wallpaper Patterns

Draw a figure with the mouse and have your pattern automatically replicated according to a variety of wallpaper and other patterns. This applet illustrates the mathematics of planar symmetry groups and is a lot of fun, especially for kids!

For more about tilings, go to ScienceU

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