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Hinged Tessellation: 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.
Dynamic Geometry 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:
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 To the
Start (Step 1),  Jump to
next break (Step 2-3),  To the
end.
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Manipulate the dynamic pentagram by dragging the
points  A,B,C at any step.
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The cursor keys (left, right, up, down) move the
picture. To give the keyboard focus to the applet, click into
it.
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The + and - key change the size
magnification.
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 are using a dial-up
connection, it may take a couple minutes. 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
Java applets.
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