+float HL_hfanf[16] = {
+ 0.0f, 0.0f,
+ 0.0f, .577350269189625764509148780502f,
+ 0.5f, .288675134594812882254574390251f,
+ 0.5f, -.288675134594812882254574390251f,
+ 0.0f, -.577350269189625764509148780502f,
+ -0.5f, -.288675134594812882254574390251f,
+ -0.5f, .288675134594812882254574390251f,
+ 0.0f, .577350269189625764509148780502f
+};
+
+/* size of a square that will exactly fit in a hexagon */
+/* 2.0/(1+sqrt(3.0)) */
+double HL_square = .73205080756887729352;
+