Shen-Guan Shih

Architecture department, National Taiwan University of Science and Technology

We are often inspired by the beauty that emerges unexpectedly from simple geometric shapes and order. Cube is one of the most simple and common forms among man-made artifacts. Simple operations on cubes sometimes uncover implicit order that is hidden behind their obvious geometry. Fibonacci sequence acts as a bridge that links artificial to natural.

Design: Kuan Ying Wu, Shen Guan Shih
Fabrication: Hsien Min Liao, Yu Lun Liu, Jiayang Lin, ChangYu Chou

Fibonacci sequence of double-side truncated cubes
Fibonacci sequence of double-side truncated cubes
10 x 50 x 50 cm

We start by truncating a cube along the plane defined by three adjacent vertices. The operation goes on to subtract the reflection of the truncated corner piece from the remaining part. The same process is then apply to the other side of the cube to derive a hexagonal segment along the diagonal of the cube. The concavity of the truncated cube allow another to stack in with 60 degrees rotation. We found it very interesting if the stacking ones are scaled over adjacent numbers in a Fibonacci sequence. The picture shows seven five-layer-stacks and six four-layer-stacks of the double-side truncated cube arranged in a hexagonal pattern.