Some tessellations you can open out and close up.
THINGS TO TRY
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
 D. Wells,
The Penguin Dictionary of Curious and Interesting Geometry
, New York: Penguin, 1991.
Wolfram Demonstrations Project
Published: January 3, 2013
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Ed Pegg Jr
Lloyd Relaxation of Voronoi Diagrams
3D Rep-Tiles and Irreptiles
Ed Pegg Jr
Inflating a Dragon
A Twist-Hinged Dissection of Triangles
Twist-Hinged Dissection That Doubles the Sides of a Polygon
Twist-Hinged Dissection of One Pentagon to Four
Hinged Dissection of One Pentagon to Five Pentagons
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2014 Wolfram Demonstrations Project & Contributors |
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have