Products Related to Fractals

Fractal Trees $19.95 In this book, by combining photographic imagery with iteration, the mathematical process at the heart of fractals, Robert Fathauer explores his unique vision of a nature that is even more fractal than the real world. These creations include a fern-like tree built from the stem of a rose bush, an infinite collection of spirals formed from the skeleton of a cholla cactus, and a tree whose outline resembles a maple leaf. Thirteen different trees are shown in two page spreads, and six randomized fractal trees are shown as well. The book also includes a section on the method used to create the trees and notes on the individual trees. Included are three classroom worksheets that teachers can copy, covering branching of fractal trees, trees in nature, and infinite series. By Robert Fathauer. 52 pages, 8-1/2" x 11".	Fractals in Our World poster $11.95 Poster with a number of photographs illustrating the role of fractals in natural and manmade objects. Comes with an 8-page lesson guide, including four reproducible worksheets. 22" x 34".	Fractal Crystal $44.95 This fractal object is constructed by starting with a first generation cube and placing a half-scale cube on the center of each face. The second-generation cubes have the same orientation as the first-generation cube. Third-generation cubes again scaled by half are placed on each unoccupied face of a second-generation cube. This process is continued ad infinitum to form a "fractal crystal". The growth of the crystal occurs more rapidly along normals to the faces of the starting cube, leading to an overall envelope (convex hull) that is an octahedron, the Archimedean dual of the cube. The sculpture includes the first 6 generations of cubes. The classical fractal known as a Sierpinski triangle occurs over and over throughout the sculpture. Approximately 2.9" along a diagonal.
Fractal d6 - RGB $2.50 On this six-sided die, the numbers one to six are indicated by one to six images of dice with one to six spots. The design is fractal, but only carried through one iteration. The number of spots on each face is the square of the number of dice on each face. Single die, in red, blue, or green; color choice can be specified on the shopping cart page. Laser etched and hand inked.	Fractal d6 - Ivory $3.00 On this six-sided die, the numbers one to six are indicated by one to six images of dice with one to six spots. The design is fractal, but only carried through one iteration. The number of spots on each face is the square of the number of dice on each face. Single die, ivory-colored laser-etched plastic.	Bats and Owls Poster $8.95 Black bats and white owls fit together in intricate patterns. Instructions relate the design to the scaling of triangles, infinite series, and singularities (points at which tiles become infinitesimally small). 22" x 26", by Robert Fathauer.
Fractal Serpents Poster $8.95 Two-headed serpents intertwine in complex geometries. Instructions relate the design to infinite series, self similarity, and fractal dimension. 16" x 26", by Robert Fathauer.	Self-replicating Dragon $8.95 A fanciful dragon is the theme for this self-replicating tile - one that can be subdivided into exact replicas of itself. Instructions relate the design to self-replicating tiles, the use of iteration to solve mathematical problems, and fractal dimension. 20" x 22", by Robert Fathauer.