Let us make hexagons now, always with the same script conventions ; we have :
aire = area
Out of the tray, H(5) would have area 150 : with a hole with area 6, as H(1), we obtain HT(5/1) which is challenge 003 (solution put on 12/11/2007).
We have also :
H(3r) would have area 162 : with a hole with area 18, as H(r), we obtain HT(3r/r) which is challenge 004 (solution put on 20/11/2007).
H(6) would have area 216 : with a hole with area 72, as H(2r), we obtain HT(6/2r) which is challenge 005.