Follow my instructions to [i]attempt[/i] to construct 6 tessellating equilateral (regular) triangles starting from segment AB to attempt form a regular hexagon.

Here's a summary of the directions:[br][br][list=1][*]Create Hyperbolic Circle with center A and radius B. Rename it e (if needed).[/*][*]Create Hyperbolic Circle with center B and radius A. Rename it f (if needed).[/*][*]Intersect the circles with code Intersect(e,f,1) . Rename the point C (if needed). [/*][*]Create Hyperbolic Segment from B to C. Rename it g (if needed).[/*][*]Create Hyperbolic Circle with center C and radius A. Rename it h (f needed).[/*][*]Intersect the new circle with the first circle with code Intersect(e,h,1) . Rename the point D (if needed).[/*][*]Create Hyperbolic Segment from C to D. Rename it k (if needed).[/*][*]Repeat the process [b]4 more times[/b] producing 4 more points and 4 more segments. [/*][/list][justify][/justify][center]Be sure to produce point H (a 7th point on circle e). [/center]

Questions:[br][br]Did it work?[br][br]What fact of Geometry are we relying on to be confident this construction works?[br][br]What happens when you zoom into your final vertex?