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This article looks at several geometric, straightedge-and-compass constructions for trisecting a line segment, comparing them based on the numbers of lines or circles required for the construction.


This interactive page allows readers to construct a Kuratowski 14-Set on the real line by selecting from among ten checkboxes, each representing a given set of real numbers.
This gallery of images and animations shows many examples of how the POVray ray-tracing software can be used to display examples in three-dimensional geometry.
This tutorial shows the details of composing the POV-Ray code necessary to generate the image of a dodecahedron, and to animate rotating the dodecahedron.
This article uses a game, called Google-opoly, played on a small directed graph to describe and model the Google PageRank algorithm.
This dynamic Java applet allows the user to simultaneously plot multiple 3D surfaces, space curves, parametric surfaces, vector fields, contour plots, and more in a freely rotatable graph. This tool is intended as a dynamic visualization and exploration environment for multivariable calculus. Use it to illustrate the geometric relationships of many of the concepts of multivariable calculus, including dot and cross products, velocity and acceleration vectors for motion in the plane and in space, the TNB-frame, the osculating circle and curvature, surfaces, contour plots and level surfaces, partial derivatives, gradient vectors and gradient fields, Lagrange multiplier optimization, double integrals as volume, defining the limits of integration for double and triple integrals, parametric surfaces, vector fields, line integrals, and more.
Loci has a new Editor!
Guidelines for Loci reviewers -- including evaluation criteria and summary results.

Table of Contents for Loci Volume 1, July 2008 through December 2009.

This article introduces several basic features of Wolfram|Alpha, provides examples, and discusses along the way how this new technology can influence what we do in our classrooms.

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