Nature's and art's symmetrical patterns can be traced to basic pattern-forming processes, which also shape the invisible patterns of harmonious human life. Two of these are identified as the "sharing of limits", and the "union of complementary opposites" or in one word: dinergy. Jointly ...
Symmetry and self-similarity are the cornerstone of Nature, exhibiting themselves through the shapes of natural creations and ubiquitous laws of physics. Since many natural objects are symmetric, the absence of symmetry can often be an indication of some anomaly or abnormal behavior. Therefore, detect...
The column may be long and slender, or may be so short in the axial direction that the body becomes disk-like. The tentacles may number many hundreds or may be very few, in rare cases only one or two. They may be simple and unbranched, or feathery in pattern. The mouth may be ...
Nature Photonics volume 18, pages 224–229 (2024)Cite this article 4900 Accesses 23 Altmetric Metrics details Abstract Since their first observation in metallic alloys, quasicrystals have remained highly intriguing ubiquitous physical structures, sharing properties of ordered and disordered media. They can...
However, saddle-splay elasticity is also known to be capable of driving a remarkably rich phenomenology, from stabilizing textures in nematic droplets19or complex geometries31, to promoting pattern formation in the Freedericksz transition32, and “lassoing” networks of line defects in a hole array...
This pattern also persists in sectors, which a priori are not related to any square root with dependence on the kinematic variables. We show in several examples that in such cases a suitable redefinition of the integrals introduces constant square roots like 3. The new master integrals are then...
in some limiting situation, such as for low energy or low mass. Random dynamics and attempts to explain all symmetries — even Lorentz invariance and gauge invariance — without appealing to any fundamental invariance of the laws of nature are discussed. A selection of original papers is ...
Thehierarchy follows from the vertical, family-independent structure of the model,in particular from the breaking pattern of the Pati-Salam group. The lightnessof the first two fermion families can be related to two family symmetriesemerging in this context as accidental symmetries....
In this nested design, the among-lantern variation is significant and similar to that of analysis 1, but rotational FA no longer appears significant (Table 3). Bilateral DA is still significant and fairly pronounced within this nested design, with a pattern identical as that shown in Fig. 4....
In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 1428–1436 (2015) 2. Wu, C.: P3.5p: pose estimation with unknown focal length. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 2440–2448 (2015) ...