Interactive Square Hinged Tessellation

Interactive Square Hinged Tessellation - Dynamic Geometry

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:

  • Start buttonTo the Start (Step 1),  Next buttonJump to next break (Step 2-3),  End button To the end.

  • Manipulate the dynamic pentagram by dragging the points A,B,C 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 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 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.

Screencast Tutorial
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.

  Hinged tessellation, Dynamic geometry


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