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The diamond shape shown above connects the topmost points of four
adjacent white fish. Convince yourself that this diamond shape
can generate the rest of the tessellation by simple translations.
In other words, we can duplicate the design contained within the
orange boundaries and cover the tessellation exactly as it is
shown. Therefore, to design this tessellation, Escher had only
to design the pattern inside of this one shape. As in a previous example, it is important to make sure points on opposite sides match
up. For example, the top of the white fish located in the center
of the tessellation is located at the top corner of the diamond
shape; we can find the top of another white fish located at the
opposite corner of the diamond shape.
All M. C. Escher works (c) Cordon Art B.V.-Baarn-the Netherlands. Modifications for demonstration purposes only. Used with permission. |