TY - JOUR
AU - Guest, Simon D.
AB - The Miura fold pattern, or the Miura-ori, is a flat-foldable origami tessellation which has been applied to the folding of deployable structures for various engineering and architectural applications. In recent years, researchers have proposed systematic (see, e.g., [1] or [2]), and also free-form [3], variations on the Miura pattern.This paper develops a geometric framework for the symmetric generalisation of the Miura-ori while preserving the ‘stacking while folding’ behaviour of the pattern. We present a number of novel concepts and definitions which help us apply systematic variations on the original pattern. We study the Miura crease pattern as a pmg wallpaper pattern which is one of the seventeen distinct wallpaper groups. We reduce the symmetry of the Miura-ori to obtain new patterns while preserving the flat-foldability condition at each node. We conclude that we are able to use the Miura-ori, which is a globally planar pattern in its partially folded states, to systematically design either ‘globally planar’ or ‘globally curved’ patterns, through appropriate design variations on the original pattern.
TI - A Framework for the Symmetric Generalisation of the Miura-ori
JF - International Journal of Space Structures
DO - 10.1260/0266-3511.30.2.141
DA - 2015-06-01
UR - https://www.deepdyve.com/lp/sage/a-framework-for-the-symmetric-generalisation-of-the-miura-ori-p91Z7p3bcv
SP - 141
EP - 152
VL - 30
IS - 2
DP - DeepDyve
ER -