1825

Bridges

2012

381-384

Bridges 2012: Mathematics, Music, Art, Architecture, Culture , براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد

In two dimensions a sequence of equally spaced parallel lines will intersect with another such sequence set at some angle to form a regular tiling of rhombi. If the lines are replaced by sine curves there are many more possibilities, depending on the relative phases of the curves. In three dimensions sets of parallel lines will intersect only in particular cases, since usually lines from different sets will be skew. A helix is a natural three-dimensional analogue of a sine curve, and again arrays of helices will intersect only in particular cases. Such configurations are so intricate visually that even small pieces of the infinite structure provide interesting sculptural forms.

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