Debt Rattle April 11 2024
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Soft tilings,
( shaping of the universe )
https://arxiv.org/pdf/2402.04190.pdf
SOFT CELLS AND THE GEOMETRY OF SEASHELLS
G. DOMOKOS, A. GORIELY, A. G. HORV ´ ATH AND K. REG ´ OS˝
06 Feb.2024
Abstract. A central problem of geometry is the tiling of space with simple
structures.
The classical solutions, such as triangles, squares, and hexagons
in the plane and cubes and other polyhedra in three-dimensional space are
built with sharp corners and flat faces. However, many tilings in Nature are
characterized by shapes with curved edges, non-flat faces, and few, if any,
sharp corners. An important question is then to relate prototypical sharp
tilings to softer natural shapes. Here, we solve this problem by introducing
a new class of shapes, the soft cells, minimizing the number of sharp corners
and filling space as soft tilings. We prove that an infinite class of polyhedral
tilings can be smoothly deformed into soft tilings and we construct the soft
versions of all Dirichlet-Voronoi cells associated with point lattices in two and
three dimensions. Remarkably, these ideal soft shapes, born out of geometry,
are found abundantly in nature, from cells to shells.
Yes …. Your computer is watching what you are doing/seeing/online activities
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“The conveyor belt is designed to exactly match the speed of the wheels, moving in the opposite direction”
Wheels on an airplane are passive components. If the airplane moves forward even an inch the conveyor would try to move at an infinite speed to keep up. The backward force of the belt would only be meaningful if there was significant friction on the bearings of the wheels. That is the gist of Maxwell Quest’s response. The belt would have to go fast enough to destroy the bearings so that they could generate enough friction to produce the force to keep the plane from moving and this would need to happen very quickly. The acceleration on the belt is unimaginable. Conveyor belts like this can only be designed by spherical chickens.
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