Hinged Tessellations
Hinged Tessellations
Some tessellations you can open out and close up.
Details
Details
Open the tessellation, extend its region, zoom in or out, drag to pan the image, or select a different tessellation.
Such tessellations are composed of solid pieces hinged at their vertices and separated by empty space. At some intermediate positions, the white spaces assume regular shapes.
Snapshot 1: tessellation of equilateral triangles of two sizes
Snapshot 2: tessellation of squares and rhombuses
Snapshot 3: tessellation of crosses and 12-gons
References
References
[1] D. Wells, The Penguin Dictionary of Curious and Interesting Geometry, New York: Penguin, 1991.
External Links
External Links
Permanent Citation
Permanent Citation
Borut Levart
"Hinged Tessellations"
http://demonstrations.wolfram.com/HingedTessellations/
Wolfram Demonstrations Project
Published: January 3, 2013