Geometric Seamless Pattern With Curved Shapes Vector Image

About Geometric Pattern

The geometry of surfaces have been shown to in uence dynamics and play a functional role, yet a comprehensive understand-ing is still elusive. Here, we report for the rst time that a static Turing pattern on a at surface can propagate on a curved surface, as opposed to previous studies, where the pattern is presupposed

Pattern dynamics on curved surfaces are found everywhere in nature. The geometry of surfaces have been shown to influence dynamics and play a functional role, yet a comprehensive understanding is still elusive. Here, we report for the first time that a static Turing pattern on a flat surface can propagate on a curved surface, as opposed to previous studies, where the pattern is presupposed to

A generalized theory is provided for the quantitative description of wrinkling morphologies and of the transitions between surface patterns in curved elastic bilayer materials.

Although the effect of surface topography on pattern dynamics has gained much interest, there is a limited understanding of the roles of surface geometry and topology in pattern dynamics. Recently, we reported that a static pattern on a at plane can become a prop-agating pattern on a curved surface Phys. Rev. Lett. 128, 224101 2022. By

of curved surfaces and discuss the relation between the surface geometry and the tools. Our main motivation is to shed light on how the geometric construction of the designs and the making of these patterns correlate. Introduction Geometric patterns consisting of polygons, stars and lines were used as ornaments on monumental building

Pattern dynamics on curved surfaces are found everywhere in nature. The geometry of surfaces have been shown to influence dynamics and play a functional role, yet a comprehensive understanding is

Patterns on curved surfaces are ubiquitous, yet the influence of surface geometry on pattern dynamics remains elusive. We recently reported a mechanism of pattern propagation in which a static pattern on a flat plane becomes a propagating pattern on a curved surface Phys. Rev. Lett. 128, 224101 2022. Here, we address whether surface curvature can drive more complex pattern dynamics beyond

sliding parts 5. Additionally, a surface pattern can give be configured as an ornamental design on the exterior of such items as wall tiles, figured glass, etc. Therefore, the ability to form such surface patterns on a curved surface would be advantageous for the machinery industry. A surface pattern can be generated chemically, or by

theory that predicts quantitatively the surface-pattern selection in curved bilayer systems consisting of a stifilm on a soft substrate Figs 1 and 2. Buckling of thin films plays a prominent role in the morpho-genesis of multilayered soft tissues, governing the wrinkling of skin15, fingerprint formation16 and the development of brain

observed patterns conrm the transition from hexagonal d to labyrinth-like wrinkles f via a bistable region e when the radius-to-thickness ratio Rh see Fig.2 is increased. Scale bars, 10mm.