A drill forms a dental implant fixture socket having an ovular cross section with a series of tapering tiers that are widest near the gumline and narrowest near the root. The drill may have laterally oriented opposed drill points each having an ovoid or conical shape. Mechanical transmission elements operatively connect the gears to a dental hand piece. A plurality of differently sized drill point pairs can be provided along the length of a framework to allow a multi-tiered socket to be formed in a single drilling pass. An implant fixture may have a generally ovular or non-circular cross section having a plurality of tiers that successively narrow in a direction from the gumline region toward root region. The tiers are adapted to fit snugly with the resulting socket tiers formed by the drill. The fixture can be adapted to receive abutments.