论文标题

最小的7倍菱形瓷砖

A Minimal 7-Fold Rhombic Tiling

论文作者

Schaad, Theo P.

论文摘要

一项针对7倍瓷砖的研究,在替代方案中使用一组三个原始rhombs来占用大面积。发现一套被认为是最小或最小的一组。该方案使用11个原始rhomb来铺平下一代膨胀的瓷砖。显示了7倍取代的一般形式,并得出了7倍魔术数的作用。这些数字包括许多新发现的7倍砖。

A study of 7-fold tilings that use a set of three proto-rhombs in a substitution scheme to tile a large area. A set is discovered that is thought to be the most minimal or smallest one. The scheme uses 11 proto-rhombs to tile the next generation of inflated tiles. The general form of 7-fold substitutions is shown and the role of the 7-fold magic number phi is derived. The figures include a number of newly discovered 7-fold tilings.

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