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A display of the time-dependent Gaussian wave function describing a free non-relativistic particle, and of the supporting mathematical concept necessary for the development of the spreading packet.
Surveys some of the important concepts in relativity by providing an introduction to the topics of relative velocity, addition of velocities, the constancy of the velocity of light, time dilation, muon...
An introduction to the mathematics of catastrophe theory. The three-dimensional butterfly catastrophe surface is represented in four-dimensional space using time as the fourth dimension.
Uses animation to recreate Leonard Euler’s analysis of the problem of crossing the bridges of Königsberg in a single continuous walk.
Begins with ideas such as simple closed curves, convexity, line of support, width of a region; proceeds to a discussion of curves of constant width; finally shows how to construct a wide variety of curves of...
A dihedral kaleidoscope is formed by two plane mirrors intersecting at an angle pi/n. When an object is placed before the mirrors of such a kaleidoscope, 2n objects are seen: the original and 2n-1...
Treats a problem in the theory of dissection of polygonal regions solved by Hadwiger and Glur in 1948. They showed that every pair of polygonal regions having equal areas is equi-decomposable and that the...
Inversion is introduced and discussed to effect the solution of an apparently difficult problem involving two unequal non-concentric circles and a chain of circles, which touch both of the given circles. The...
Using carefully chosen examples, demonstrate how Newton’s laws of motion work. Shows that the law of areas for central force motion is a consequence of the first two laws of motion. Several examples are...
Considers the problem of the orthogonal projection of a given triangle into an equilateral triangle. The problem is solved by considering the ellipse which touches the sides of the triangle at their...
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