mg.metric geometry – Kakeya crossed-needles problem Answer

plane geometry - Does the intersection of two moving curves sweep out a continuous line?

Hello dear visitor to our network We will offer you a solution to this question mg.metric geometry – Kakeya crossed-needles problem ,and the answer will be typical through documented information sources, We welcome you and offer you new questions and answers, Many visitor are wondering about the answer to this question.

mg.metric geometry – Kakeya crossed-needles problem

the Kakeya needle problem asks for the minimum area planar region in which one can completely turn around a line segment through a series of translations and rotations. There is no minimum: There are Kakeya needle sets of arbitrarily small area.

I ask the same question but for a rigid plus-sign, two equal-length segments at $90^\circ$ sharing their midpoints, forming a $+$ shape. Because it seems difficult to achieve $360^\circ$ rotation using the type of spikey sets so effective for a single needle, I’m wondering if the answer here might be just a disk?

KakeyaPlus

we will offer you the solution to mg.metric geometry – Kakeya crossed-needles problem question via our network which brings all the answers from multiple reliable sources.