论文标题
用多种类型的菱形转换为五边形瓷砖
Converting tilings with multiple types of rhombuses to pentagonal tilings
论文作者
论文摘要
涉及由Penrose,Ammann,Beanker或Socolar发现的多种类型的菱形的旋转对称瓷砖的结果被转换为具有多种类型的五角星的瓷砖。五角星可以是凸面的或凹的,并且可以退化为梯形或平行四边形。如果Pentagons是凸,它们属于2型家族。
The results involving rotationally symmetric tilings with multiple types of rhombuses, discovered by Penrose, Ammann, Beenker, or Socolar, are converted to tilings with multiple types of pentagons are presented. The pentagons can be convex or concave, and can be degenerated into a trapezoid or parallelogram. If the pentagons are convex, they belong to the Type 2 family.