About site: Math/Recreations/Tessellations - Tessellations Using Geometer's Sketchpad
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  About site: http://www.mste.uiuc.edu/courses/ci336kt/garrison/skpdindx.html

Title: Math/Recreations/Tessellations - Tessellations Using Geometer's Sketchpad Description of a class project.
Tessellations_with_Java Examples and source code.

Tiling_Plain_and_Fancy Tiling from the mathematical and historical viewpoint by Steve Edwards. Provides a number of examples of various types of tiles that tile the plane and includes periodic tiling plus Penrose's aperiod

Tilings_and_Geometric_Ornament Applying principles of computer graphics to the creation of geometric ornament, as a continuation of the tradition of ornamental design using modern tools and algorithms.

Totally_Tessellated An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.

17_Wall_Paper_Symmetry_Groups_to_Create_a_Regular_Division_of_the_Plane Graphics.

Wallpaper_Groups Images and descriptions of the 17 plane symmetry groups.


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SketchPad Unit Index a unit by Lari Garrison lari@iconnect.net Warren Township High School     According to the NCTM Standards geometry "provides an opportunity for students to experience the creative interplay between mathematics and art." This project is specifically designed to allow students to demonstrate their ability to create art using transformational geometry. Many high school students are familiar with the work of M. C. Escher, and are very excited to get the chance to create tessellations, especially since they get to use computers. This lab-based unit will take approximately three class days (our periods are 45-50 minutes) and a couple of hours outside class for the students to complete. At the beginning of the project students will be given a packet including a description of the project, instructions for creating translation, reflection and rotation tessellations, and the rubric (this is a Word 5.1 document) which is to be used to evaluate student work. Students should be given the three class days to work at their own pace on the project. Prior to this unit students should be exposed to the concepts of translation, rotation, reflection and vectors or the project will not be successful. Having done the same unit without the benefit of being able to use Geometer's Sketch Pad, I can say that the technology enables the students to really focus on transformational geometry while they are creating the tessellations. Check out some excellent student work that my eighth hour students did. I have samples of tessellations that were created and samples of the written explanations that students submitted.   back to projects page.
 

Description

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a

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project.

http://www.mste.uiuc.edu/courses/ci336kt/garrison/skpdindx.html

Tessellations Using Geometer's Sketchpad 2009 January

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Description of a class project.

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