A tessellation which can be thought of consisting of a number of pieces which are hinged
at their vertices and therefore can be opened or closed to yield a series of tessellations.
Each blue square is hinged at its vertices so that the tessellation changes as any blue square is rotated.
You can alter the figure above
dynamically in order to test and prove (or disproved)
conjectures and gain mathematical insight that is less readily
available with static drawings by hand.
To explore this hinged tessellation use the replay buttons above to move step by step (1-2-3) through the geometric construction:
the Start (Step 1),
to next break (Step 2-3),
To the end.
Manipulate the dynamic pentagram
by dragging the points
at any step.
The cursor keys (left, right,
up, down) move the picture. To give the keyboard focus to
the applet, click into it.
The + and - key change the size
This page contains a
C.a.R. interactive geometry applet by R. Grothmann. Please be
patient while the applet loads on your computer. If you get a warning-security asking 'Do you
want to trust the signed applet distributed by "Rene Grothmann"?'.
Please click 'Always', and you will not be troubled again.
This version of the applet requires Java 1.3 or higher
(graphical enhanced using anti-aliasing).
If you can't see the presentation above, check a more recent
version of your browser. Alternately, it may be that your
browser supports Java, but that it’s currently set to disable
To see the screencast tutorial go to:Screencast
Tutorial: Interactive Square Hinged Tessellation.
A screencast is a recording of computer screen output, also known as a video screen capture.