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The square outlined above connects the uppermost points of four adjacent creatures. Notice that this square can generate the rest of the tessellation by simple translations. In other words, we can duplicate the design within this square to produce the rest of the tessellation (disregarding the color differences). Therefore, to design this tessellation, you need only to design this one square. When doing so, keep in mind that the the left and right edges should be identical in terms of the location of points, so that the design will be continuous when you translate the design. The same should be true for the top and bottom edges. For example, locate the neck joint of the white creature outlined
by the orange square above. The location of this neck joint on
the left edge of the orange square is the same location of the
tip of the creature's wing on the right edge of the orange square.
All M. C. Escher works (c) Cordon Art B.V.-Baarn-the Netherlands. Modifications for demonstration purposes only. Used with permission. |