its connection to the rig structure 602 with the rig structure 602 fully erected fig1 a 16c illustrate steps in the erection of the rig structure 602 powered cylinder apparatuses 624 connected between a top 602 a and a bottom 602 b of the rig structure 602 as shown in fig1 a the apparatuses 624 are energized and the rig structure 602 begins to rise as shown in fig1 b the rig structure 602 continues to rise as shown in fig1 c the rig structure 602 has reached its full height and is locked in place with locking apparatuses 625 the rig structure 602 has four multi part lets 605 each with a base 605 a pivotably connected mid section 605 b and an upper part 605 c fig1 a 17s illustrate steps in a method according to the present invention using the system 600 as shown in fig1 a a blowout preventer stack 608 is lifted by lifting apparatus e g by the crane 630 and placed in position over the well location 613 a drilling machine dm 1 is moved adjacent an end of the rig structure 602 and the crane 630 proceeds to begin lifting of the drilling machine dm 1 fig1 b fig1.