The Shortest Enclosure of Two Connected Regions in a Corner
The Shortest Enclosure of Two Connected Regions in a Corner
Fix a sector in the Euclidean plane bounded by two rays emanating from a common point.We investigate arc-length minimizing enclosures of two connected regions in this sector with prescribed areas, where the bounding rays do not contribute to the arc-length.We show that the perimeter minimizing configuration is one of two …