A New Structure of Cylinder Packing

Space group of heterogeneous cylinder packing with six 〈110〉 directions

“…The previous paper [20] includes a detailed explana tion of the Type III structure. Hence, the present paper only provides an outline of the structure.…”

“…There are several distinct 〈110〉 six way cylinder packings [16,19,20]. In this paper, we focus on the following structure.…”

“…This structure was first presented in the appendix of a pre vious paper [16], wherein a photograph and a rough explanation of its design were included. Subsequently, the detailed structure and packing density of Type III were reported in another paper [20]; however, this paper did not discuss the space group of the Type III structure. Authors have roughly summarized its space group by oral presentations on several conferences [21][22][23] since then.…”

“…Motivated by structures of composite materials [12,13], periodic cubic 〈110〉 six way cylinder packing structures have also been investigated [15][16][17][18][19][20]. The known 〈110〉 six way cylinder packings can be classi 1 The article is published in the original.…”

Symmetrical structures of nonintersecting cylinders

“…A structure can be made with a three-fold screw axis along one <111> direction, but not along all four. Teshima et al [7] have reported three types of <110> cylinder packings with packing densities 0.494, 0.247 and 0.376. Teshima and Matsumoto [8] have studied the space group of last one.…”