Implement SPS Strat 3 #40
Description
Assume that A is the initiall point and that B and C are the locations of the two large items. We can find a point D where both triangles (ABD and ACD) have equal area. We can go to that point, drop the second SPS and then head for the free large item (i.e., the one that the oponent doesn't have got nor is headed towards it). In this case we have complete control over the resulting triangle. To illustrate the idea, I attach two geogebra files (one 2D and one 3D). You can play with those and find the posiible locations of point D.