Email Print Share
October 12, 2006

KaleidoTile 3.0 (Image 3)

KaleidoTile 3.0 (Image 3)

Kaleidoscopic effects illustrate the symmetries of an icosahedron and other polyhedron.

More about this image
KaleidoTile is intended mainly for grades 9-12, but has also found use in college and university geometry courses (for studying symmetry groups), in middle schools (for introducing symmetry through art) and as part of an exhibit on polyhedra at Heureka, the Finnish Science Centre. A new option in KaleidoTile 3 lets students view the reflected and non-reflected parts of the tiling separately, for a better understanding of symmetry groups and chirality. KaleidoTile comes with a set of accompanying questions titled Tilings and Symmetry, for small group investigation or individual study, along with a Technical FAQ.

"KaleidoTile" was taken from the website Jeff Week's Topology and Geometry Software, Fun and Games for Ages 10 and Up. The website, which contains free, interactive software, is suitable for middle and high school math and art projects. (Date of Image: March 17, 2004) [One of three related images. See Next Image.]

Credit: Image courtesy of Jeff Weeks; produced using www.geometrygames.org/KaleidoTile

Special Restrictions: Image is available for public use, subject to the condition that the user reproduces the credit line "Image courtesy Jeff Weeks; produced using www.geometrygames.org/KaleidoTile." The owner also asks that the user send him a message (via http://www.geometrygames.org/contact.html, informing him of the location where the image will appear.


Images and other media in the National Science Foundation Multimedia Gallery are available for use in print and electronic material by NSF employees, members of the media, university staff, teachers and the general public. All media in the gallery are intended for personal, educational and nonprofit/non-commercial use only.

Images credited to the National Science Foundation, a federal agency, are in the public domain. The images were created by employees of the United States Government as part of their official duties or prepared by contractors as "works for hire" for NSF. You may freely use NSF-credited images and, at your discretion, credit NSF with a "Courtesy: National Science Foundation" notation.

Additional information about general usage can be found in Conditions.

Also Available:
Download the high-resolution TIF version of the image. (2.5 MB)

Use your mouse to right-click (Mac users may need to Ctrl-click) the link above and choose the option that will save the file or target to your computer.