After more than three centuries, a geometry problem that originated with a royal bet has been solved. Imagine you’re holding two equal-size dice. Is it possible to bore a tunnel through one die that’s ...

Can you drill a hole in a cube that an identical cube could fall through? Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out the answer is yes. One can ...

Taking the minkowski sum where an operand is concave causes a significant performance regression in Manifold mode. We implement minkowski by first decomposing operands into convex operands, then ...

Abstract: This letter proposes an envelop-climbing locomotion planning for vertical obstacles by concave polyhedron construction in order to achieve high terrain adaptability of polyhedron robots.

Polyhedra Network is laying the groundwork for a new era of trustworthy AI by building infrastructure that enables ...

Sir Isaac Newton once wrote, in what must be one of the most oft-quoted lines in the history of science, "If I have seen further it is by standing upon the shoulders of giants." Well, any of us who ...

James Chen, CMT is an expert trader, investment adviser, and global market strategist. Cierra Murry is an expert in banking, credit cards, investing, loans, mortgages, and real estate. She is a ...

Abstract: This letter considers the algorithm design and convergence analysis for the non-smooth convex-concave saddle point problem (CCSPP) with a bilinear coupling term. By using a ...

Research Center for Crystal Materials; CAS Key Laboratory of Functional Materials and Devices for Special Environmental Conditions; Xinjiang Key Laboratory of Functional Crystal Materials, Xinjiang ...