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arXiv 1206.0152math.CO
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多边形砖墙图案和二维替换

Polymetric brick wall patterns and two-dimensional substitutions

Michel Dekking

摘要:

多边形墙是由砖砌成的墙,尺寸不止一种。建筑师和建筑商希望建造满足某些结构和美学约束的polymetric墙。在最近的一篇论文中,de Jong,Vinduska,Hans和Post通过整数规划技术解决了这些问题,对于由40多个砖块组成的图案来说,这可能非常耗时。在这里,我们给出了一个非常快速的方法,生成任意大小的图案。

英文摘要:

Polymetric walls are walls built from bricks in more than one size. Architects and builders want to built polymetric walls that satisfy certain structural and aesthetical constraints. In a recent paper by de Jong, Vinduska, Hans and Post these problems are solved by integer programming techniques, which can be very time consuming for patterns consisting of more than 40 bricks. Here we give an extremely fast method, generating patterns of arbitrary size.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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