This page exhibits 10 MATHEMATICA® Animations of algebraic curves with nodes and cusp points. A notebook with the animations and source code is available.
California State University National Curve Bank
California State University National Curve Bank Collection Resources (94)
This page discusses calculating areas of surfaces of revolution with animations, formulas, and examples. Special attention is paid to the paradox illustrated by Gabriel's horn or Torricelli's Trumpet.
The page discusses the curve known as an astroid or hypocycloid of four cusps. In one quadrant, the astroid may be thought of as a falling ladder,a problem often found inintroductory Calculus. In thiscase, the curve is also known as a glissette.
This page features a mathematical art project consisting of a Generation 3 Sierpinski tetrahedron made from 384 baseball bats and 130 baseballs.
This page gives history of the cycloid and Pascal's work on it. There are links to animations and more information.
A Power Point Slide Show which features the life and work of Rafael Bombelli, 1526-1572. In particular his work with negative and imaginary numbers.
This page contains a discussion of the Brachistochrone problem and an animation showing a particle sliding down a line and a cycloid.There are links to 4 additional pageswith different approaches to the Brachistochrone problem. Interesting historical notes.
A discussion of quilts created to represent the Cayley table for the quaternion group and for the intersection of this group with D4.
This is a page devoted to the cissoid of Diocles with equations, animations, and history of its relation to the duplication of the cube problem.
This page contains 3-dimensional surfaces ploted in color using POVRAY (Persistence Of Vision RAY tracing). There are links to pages containg the code for the plots and to a page of references and additonal plots.