湘潭大学自然科学学报
湘潭大學自然科學學報
상담대학자연과학학보
NATURAL SCIENCE JOURNAL OF XIANGTAN UNIVERSITY
2011年
1期
7-10
,共4页
江涛%黄舟%张娜娜%段淑娟%柳旦%邓大文
江濤%黃舟%張娜娜%段淑娟%柳旦%鄧大文
강도%황주%장나나%단숙연%류단%산대문
自仿铺砖%Cantor集
自倣鋪磚%Cantor集
자방포전%Cantor집
self-affine tile%Cantor set
给出一个平面自仿铺砖,虽然在它生成的自仿铺砖中,它只有边邻居和点邻居,但它仍与自己的某些平移有Cantor集交.这显示Cantor集交在这类分形集合中的普遍性.
給齣一箇平麵自倣鋪磚,雖然在它生成的自倣鋪磚中,它隻有邊鄰居和點鄰居,但它仍與自己的某些平移有Cantor集交.這顯示Cantor集交在這類分形集閤中的普遍性.
급출일개평면자방포전,수연재타생성적자방포전중,타지유변린거화점린거,단타잉여자기적모사평이유Cantor집교.저현시Cantor집교재저류분형집합중적보편성.
We give a planar self-affine tile that intersects some of its translates in Cantor sets, even though in the tiling it generates, it has only vertex and edge neighbors. This suggests that Cantor set intersection is a universal phenomenon among self-affine tiles.
