4 papers
Universal Triangle Covering Curve and Polygonal Chain: Escaping Forest and Fitting Worm
Zhipeng Deng
In this paper, we present a general formulation to address the problems of covering curves and polygonal chains with triangle, and fitting these curves into triangle. These problem…
Revisit escape path for infinite unit strip forest and unit broadworm
Zhipeng Deng
Building on our previous general computational solution to Bellman's Lost-in-a-Forest Problem, we present a new approach and analytical formulas for the previously well-known escap…
Proof and More Variations of Bellman's Lost-in-a-forest Problem
Zhipeng Deng
In this paper, based on our previous general formulation and computational solution to Bellman's Lost-in-a-forest Problem, we provide the proof of general solution and obtained mor…
A General Solution to Bellman's Lost-in-a-forest Problem
Zhipeng Deng
We present a general solution and formulation framework to Bellman's lost-in-a-forest problem. The forest boundary is known and may take any shape. The starting point and the orien…