Two points, A and B, are fixed to a rod by pivots which are confined to move on the x-axis and the y-axis respectively. The trammel of Archimedes is a tool that draws the shape of an ellipse. As c rolls along C, A describes a curve which mathematicians call a hypotrochoid (if c moves inside C) or epitrochoid (if c moves outside C). A point A is fixed to c with distance d to the center of c. The program draws these curves up to n=7 (n=8 for a computer screen).Ī small wheel (circle) c of radius r moves tangentially without slipping along the inside or outside of a fixed larger circle C with radius R>r. It is the limit for n->infinity of curves cn which consist of horzontal and vertical line segments. It comes in a whole family of polyhedra parametrized by h, 0x from the unit interval into the unit square whose image is the whole square. Pyritohedron, version 1.0, Rolf Pütter The pyritohedron is a dodecahedron with twelve congruent pentagonal faces, which are not necessarily regular.
This program draws great circles, great circle segments, distance circles, triangles and loxodromes on the unit sphere. The rhombic triacontahedron is a convex polyhedron with 30 congruent rhombic faces. This program shows some tesselations of the plane and their duals. The program then computes p, its derivative p' and the zeros of the derivative (by the method of Laguerre) and displays them immediately (as little crosses) when a point is moved. The user enters up to 9 points (a - i) in the complex plane, the zeros of a complex polynomial p. Tammes' problem consists in finding a configuration of n points on the surface of a sphere such that the minimum distance between points is maximized. The convex hull of these circles is called the oloid. Check out the user guide before using the program first time.Ĭonsider two circles of radius 1 in 3-space, lying in orthogonal planes, each passing through the center of the other. Program does polynomial interpolation using 3 or 5 tabular values, Lagrange or cubic spline (natural) interpolation methods. Minimum requirement is: Ti-Nspire CX CAS. Program does linear interpolation and extrapolation from two known points. Program convert numbers on the fly between bin/oct/dec/hex. Malfatti posed the following problem: how are three circles to be placed into a triangle such that they don't overlap and that their added area is maximal? His conjecture was that each of the circles has to touch two sides of the triangle and the two other circles. This program illustrates the fact that such a map can be colored consistently by two colors. This program shows Penrose tilings of the kites and darts type and of the fat and thin rhombus type.Ī map is produced by dividing a rectangle by straight lines and circles. Distance is measured by the so-called taxicab metric, the sum of the horizontal and vertical distance of two points. The problem is to find the shortest network which connects them all. A number n of points in the plane is given. RSMT stands for "rectilinear Steiner minimum tree". To each value f(z)/|f(z)| on the unit circle, a color on the color wheel is assigned and a pixel of this color drawn at z. The program draws the phase portrait of some complex analytic functions. Note that to use this program, one must put it in the libraries folder. for two natural numbers a and b, where b>a, simply input Euclid(a,b) and the program will output a step by step Euclidean algorithm and the found hcf(a,b). This program is the Euclidean algorithm, with steps. With this program, you can define a graph and color it yourself or have it colored by two different algorithms. Version 1.1: some bugs removedĪ graph coloring is an assign of a color to each vertex of a graph such that neighboring vertices get different colors. The user can now guess the number of the chosen basket or order another draw until the probabilities become more clear. With the help of Bayes' formula, a new probability is ascribed to each basket. As evidence the calculator draws balls (with replacement) from the chosen basket and discloses their color and number. The calculator then chooses a basket at random. This program offers a guessing game the user can play against the calculator.The user fills three baskets with up to ten balls in four different colors. The eight equilateral triangles of the octahedron are reduced to regular hexagons. The truncated octahedron can be obtained from the regular octahedron by cutting off the vertices, thus creating six squares. The user's task is to arrange 10 points in the plane into five lines of four points each.
The Jitterbug transformation, invented by Richard Buckminster Fuller, deforms an octahedron into an icosahedron and then into a cuboctahedron Icon legend: File with screen shots File with animated screen shots File with reviews Featured programs
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