Page 149 - JCAU-6-2
P. 149
Journal of Chinese
Architecture and Urbanism RuiXue Multi-Hall in reciprocal structures
Figure 6. Computational subd to NURBS surface rational optimization. Source: Drawing by Yingzi Hu, editing by Yueyang Wang
until it intersects with the nearest line segment. This
approach yields diverse reciprocal geometry grids, which
result from varying the rotation angle of the basic grid
(Figure 7).
For the 11 basic geometrically reciprocal grids, A–K,
a reciprocal geometrical library, can be established by
adjusting the rotation angle, denoted as α. The rotation
angle α spans two intervals: from 0° to 90° and from
90° to 180°, corresponding to the mirror relationship of
complementary angles. Therefore, taking the rotation
angle range of 0° to 90° as an example, we have compiled
a reciprocal geometrical shape library with a 15-degree
interval, as shown in Figure 8. It is important to note that
the algorithm allows for arbitrary non-integer values for
Figure 7. Geometric design of interpenetration for shell structures. the rotation angle, providing flexibility in defining these
Source: Drawing by Yingzi Hu angles.
Volume 6 Issue 2 (2024) 7 https://doi.org/10.36922/jcau.1635
