Islamic geometric patterns are a rich and venerable ornamental tradition. Many classic designs feature periodic arrangements of rosettes: star shapes surrounded by rings of hexagonal petals. We present a new technique for generating 'freeform' compositions of rosettes: finite designs that freely mix rosettes of unusual sizes while retaining the aesthetics of traditional patterns. We use a circle packing as a scaffolding for developing a patch of polygons and fill each polygon with a motif based on established constructions from Islamic art.
翻译:伊斯兰几何模式是丰富和可观的观赏观赏传统。许多经典设计都以玫瑰花的周期性安排为特色:恒星形状环绕着六角花瓣环环。我们展示了一种产生“freeform”的玫瑰花团组成的新技术:在保留传统模式美学的同时自由混合非同寻常大小的玫瑰花团的有限设计。我们用圆形包装作为架子架子来开发多边形,并根据伊斯兰艺术的既定构造向每个多边形填充一个木板。