#Gsp5 kaleidoscope software
Powerful multipurpose mathematical software such as Mathematica can be used to program routines that can draw Penrose and other aperiodic tilings. To produce tilings, the user must have some knowledge of the geometric transformations, of how they interact to produce tilings and of how the shape of tiles is influenced by the transformations that will produce certain tilings. They can also record 'scripts' (or macros) that can be 'played' on specified objects (such as tiles) to produce tilings with desired properties. Both programs can perform all of the Euclidean isometries (translation, rotation, reflection, glide-reflection) on constructed objects so as to create tilings. Software Reviews The Geometer's Sketchpad and a similar program called Cabri Geometre aUow precise constructions (as well as freehand drawings) of polygonal tiles that can be dynamicaUy manipulated to change shape and size. But for more precise geometric control and automatic generation of tilings, several other programs are useful. (In fact, this program was used to produce all of the tilings shown in Britton and Seymour's Introduction to Tessellations ). For relatively simple tilings, one can use one of the many powerful design programs for desktop publishing, such as Adobe Illustrator. There is a variety of computer software available to assist in the design of tilings. Schauschneider, Momvian College, Bethlehem, PA 18018-6650, U.S.A. The program is packaged with a text: Symmetry Studio: Creative ComputerResourcesfor Twa-Dimensional Design. Van Nostrand Reinhold, New York, NY, U.S.A., 1992. SYMMETRY STUDIO by Timothy Binkley andJohn Simon. Broderbund Software, San Rafael, CA, U.S.A., 1992. Wolfram Research, Champaign, IL, U.S.A., 1988. Intellimation, Santa Barbara, CA, U.S.A., 1991. Great Wave Software, Scotts Valley, CA, U.S.A., 1987. Brooks/Cole, Pacific Grove, CA, U.S.A., 1992. CABRI GEOMETRE by YvesBaulac, Franck Bellcmain and Jean-Marie Laborde. Key Curriculum Press, Berkeley, CA, U.S.A., 1991.
THE GEOMETER'S SKETCHPAD by NickolasJackiw, Visual Geometry Project. The modified WebQuest may be shared only under the same conditions.In lieu of an abstract, here is a brief excerpt of the content:ĪDOBE ILLUSTRATOR Applications Product Division of Adobe Systems, Mountain View, CA, U.S.A., 1987. Permission is granted for others to use and modify this WebQuest for educational, non-commercial purposes as long as the original authorship is credited. We all benefit by being generous with our work. I try to use technology when I can in all my classes. I am a high school geometry teacher in the Northeast Kingdom of Vermont. If I infringed on any copywrite accidentally please contact me at Biography Constance MacFarlane I want to thank all the producer of the resources and images I used for this WebQuest. Images were clipped Wikki Images and Google Images, permissions were granted. This WebQuest requires the use of Geometer's Sketchpad, software by Key Curriculum Press, version 4.0. Some material for this WebQuest comes from Discovering Geometry and Inductive Approach by Micheal Serra, published by Key Curriculum Press, CA: 1997
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