曲边平面砖的点阵原理与工程设计  

Lattice Principle of Curve-edged Brick and Its Engineering Design

作　　者：李效东[1] LI Xiaodong

机构地区：[1]国防科技大学文理学院,湖南长沙410073

出　　处：《科技创新与应用》2022年第2期1-7,14,共8页Technology Innovation and Application

摘　　要：根据点阵理论,提出一类边缘可为任意曲线的平面砖,其可无缝铺设无限大平面。基础平面砖TE可顺特定两轴方向平移铺排;多重平面砖T_(N)、T_(N)^(X)和T_(N)^(X/2)须多重拼合成TE后再平移铺排。所有T_(E)必基于平面点阵的基形P(平行四或六边形)。P的变形通过“等盈亏”(EGL)操作实现,得到多种EGLP。由P或一些EGLP按“过轴心N分割”规则形成的N个同形状的凸角x边形(x=3,4,5,6)可作为T_(N)的基形G。以上也可分割出等边多边形和半等边多边形以作为T_(N)^(X)和T_(N)^(X/2)的基形。所有基形的曲线化均可通过相应的EGL操作实现。由此人们可任意设计出各种形状的T以赋予其不同拼合性能、艺术风格和对称性。Based on the lattice theory,a kind of plane brick whose edge can be arbitrary curve is proposed,which can lay infinite plane seamlessly.The basic plane brick T_(E) can be translated and arranged in a specific biaxial direction,and the multiple plane bricks T_(N),T_(N)^(X )and T_(N)^(X/2) must be assembled into TE and then translated and arranged horizontally.All TE must be based on the base P(parallelogram or hexagon)of the plane lattice.The transformation of P is realized by"equal gain and loss"(EGL)operation,and many kinds of EGLP are obtained.N convex angle x polygons of the same shape(x=3,4,5,6)formed by P or some EGLP according to the rule of"over-axis N partition"can be used as the base shape G of T_(N).The above can also be divided into equilateral polygons and semi-equilateral polygons as the basis of T_(N)^(X) and T_(N)^(X/2).The curving of all the base shapes can be realized by the corresponding EGL operation.As a result,T of various shapes can be designed arbitrarily to give it different flattening performance,artistic style and symmetry.

关 键 词：曲边平面砖 平面点阵 等盈亏操作 过轴心N分割 工程设计 

分 类 号：P621[天文地球—地质矿产勘探]