Observations on the Flight Behavior of a Butterfly Charles Waters Institute of Geometric Entomology Scotch Plains-Fanwood High School Scotch Plains, NJ 07076 Due to the power of the notation and functions on arrays, APL has applications in an educational environment that transcend mere formula translation. Some of the to instruction in most USefUl this school have had little practical consequence but great heuristic value. Students here are challenged to construct expressions satisfying specific requirements for which no algorithm exists.. One such problem, proposed by Dr. Linda Alvord, will serve as an example. A butterfly flies about a unit cube a:Lighting on the vertices. The origin of flight and the subsequent sequence of vertices are random:Ly selected. No vertex is repeated until all have been ocwhereupon the insect recupied, turns to the starting point in its eighth flight. Individual flight components are invariably straight and measure 1, 42, or J3 for flights on an edge, face diaor interior diagonal, regonal, Examples of these spectively. measures rns be seen in the segments i;H, GF, and GB in Figure 1. The problem specifies identification of the sequence of vertices and determination of the tour's distance. PermissIon to cq>y without fee alI
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