Results 141 to 150 of about 1,212,069 (375)
Gauss's Theorem on the Regular Polygons which can be constructed by Euclid's Method [PDF]
H. S. Carslaw
openalex +1 more source
A $\textit{regular polygon surface}$ $M$ is a surface graph $( , )$ together with a continuous map $ $ from $ $ into Euclidean 3-space which maps faces to regular Euclidean polygons. When $ $ is homeomorphic to the sphere and the degree of every face of $ $ is five, we prove that $M$ can be realized as the boundary of a union of dodecahedra ...
openaire +2 more sources
Engineering “Meso‐Atom” Bonding: Honeycomb‐Network Transitions in Reticular Liquid Crystals
Rod‐like molecules with highly branched carbosilane‐based side‐chains show two modes of aromatic core aggregation controlled by core fluorination. Serving as “meso‐atom bonds,” the locked‐in shift mode due to strong core–core interaction from fluorination replaces the A15‐type 3D cubic liquid crystal network phase by honeycombs with 2D periodicity ...
Christian Anders+8 more
wiley +1 more source
Periodic skyrmionic textures via conformal cartographic projections
We find periodic skyrmionic textures via conformal cartographic projections that map either an entire spherical parameter space or a hemisphere onto every regular polygon that provides regular tessellations of the plane.
David Marco+3 more
doaj +1 more source
Multi-robot control for a static polygon formation using Neighbor-Leader algorithm
One of the biggest open challenges to the robotic system is controlling robots formation. Its importance has been noted in a wide variety of applications, from truck platoons to robot-based standalone parcel delivery.
Bayadir A. Issa+1 more
doaj
Multistable Composite Laminate Grids as a Design Tool for Soft Reconfigurable Multirotors
Flexible, lightweight, stable: the reconfigurable multirotor combines stable flight in multiple shapes with low‐energy reconfiguration. Utilizing optimized multistable composites, it achieves self‐locking in open and folded configurations, cutting width‐span by 48% and allowing for safe gap traversal.
Luca Girardi+4 more
wiley +1 more source
Analysis for fluid-elastic instability of tube arrays in cross-flow
To date, no study has been conducted on analytical methods to solve the fluid dynamics governing equations system for the fluid-elastic vibration of tube arrays in a straightforward manner.
Masahiko UTSUMI
doaj +1 more source
Polygonal approximation and energy of smooth knots [PDF]
We establish a fundamental connection between smooth and polygonal knot energies, showing that the Minimum Distance Energy for polygons inscribed in a smooth knot converges to the Moebius Energy of the smooth knot as the polygons converge to the smooth knot.
arxiv
Tiling Robotics: A New Paradigm of Shape‐Morphing Reconfigurable Robots
Tiling robotics is a novel paradigm of shape‐morphing reconfigurable robots, defining them as polyform‐inspired machines capable of transforming between at least two polymorphic shapes. Various reconfiguration‐enabling and locomotion mechanisms of tiling robots are comparatively analyzed, with the electromechanical developments, along with a proposed ...
S. M. Bhagya P. Samarakoon+2 more
wiley +1 more source