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Having briefly mentioned ‘other formats' in the introduction, I now discuss these in more detail. As such, the only limit is one's imagination, with essentially any geometrical shape being possible. Examples below include a 'rectangular loop' and a 'winding strip', all based upon a square. However, of necessity an 'appropriate' choice must be made, for example with a composition based upon a square, a squared base example would be chosen, as to attempt to show this as a triangle format would be inappropriate, if not to say impossible.
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| No.1 |
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This example is most pleasing of its type, as it forms a rectangular loop, of which an ‘eternal,' never ending cycle can be observed. Such examples of this sort are rare, as essentially this takes, in principle at least, four parquet deformations, which of necessity all have to join at their respective beginning and ending stages, and furthermore, due to the ‘loop' format, they also have to consist of tiles that can effectively ‘turn the corner.' Therefore, due to the above complications, such examples are noticeably less frequent than the more simple examples of Parquet Deformation 1. |
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No.2 |
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Another format is of what I term as a ‘winding strip', whereby the parquet deformation can be seen to wind around itself, this being of a somewhat similar nature in idea or format to Escher's plate I in Regelmatige vlakverderling (as shown in Escher The Complete Graphic Work), albeit his involves motifs and is not a parquet deformation per se. As such, the example here is a tour de force of the genre, of which this is perhaps the best I have undertaken of its type. Again, despite apparent simplicity, this belies some considerable difficulties of achieving of which much planning beforehand was in order. However, in retrospect, even this splendid example can be said to possess shortcomings, as it ends somewhat arbitrarily, as by the 'simple' expedient of adding another cycle the strip itself (but not the deformation) would possess 180° rotational symmetry, thus resulting in a more satisfying completion in an aesthetic sense.
Last Updated: 29 September 2009 | |
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