论文标题
Archimedes螺旋形成的Voronoi图
Voronoi Diagrams Generated by the Archimedes Spiral
论文作者
论文摘要
据报道，据报道，据报道，沃罗诺伊马赛克受到阿基梅德螺旋上的种子点的启发。为这些模式计算了Voronoi熵。治疗等距和非等差模式。据报道，由相等大小的细胞建造的Voronoi镶嵌物报道了对装饰艺术的主要重要性。当种子点之间的距离与螺旋形转弯之间的距离相同时，六角形的明显患病率是点数和非等分分布的图案固有的。由于模式的有限性质，五角形和七型“缺陷”细胞出现在Voronoi图中。揭示了有序的Voronoi镶嵌物，证明了大于1.71的Voronoi熵，报道了点的随机2D分布。据报道，沃罗诺伊熵的依赖性对位于Archimedes螺旋上的种子点的总数。讨论了由放置在阿基梅德斯螺旋上的种子点产生的伏洛伊镶嵌物的美学吸引力。
Voronoi mosaics inspired by the seed points placed on the Archimedes Spirals are reported. Voronoi entropy was calculated for these patterns. Equidistant and non-equidistant patterns are treated. Voronoi mosaics built from cells of equal size which are of primary importance for decorative arts are reported. The pronounced prevalence of hexagons is inherent for the patterns with an equidistant and non-equidistant distribution of points, when the distance between the seed points is of the same order of magnitude as the distance between the turns of the spiral. Penta- and heptagonal 'defected' cells appeared in the Voronoi diagrams due to the finite nature of the pattern. The ordered Voronoi tessellations demonstrating the Voronoi entropy larger than 1.71, reported for the random 2D distribution of points, were revealed. The dependence of the Voronoi entropy on the total number of the seed points located on the Archimedes Spirals is reported. The aesthetic attraction of the Voronoi mosaics arising from seed points placed on the Archimedes Spirals is discussed.
