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The Su­perB pro­ject aims at the con­struc­tion of an asym­met­ric (4x7 GeV), very high lu­mi­nos­i­ty, B-Fac­to­ry on the Roma II (Italy) Uni­ver­si­ty cam­pus. The lu­mi­nos­i­ty goal of 1036 cm-2 s-1 can be reached with a new col­li­sion scheme with large Pi­win­s­ki angle and the use of “crab” sex­tupoles. A crab-waist IR has been suc­cess­ful­ly test­ed at the DAPHNE Phi-Fac­to­ry at LNF-Fras­cati (Italy) in 2008. The crab waist to­geth­er with very low beta* will allow for op­er­a­tion with rel­a­tive­ly low beam cur­rents and rea­son­able bunch length, com­pa­ra­ble to those of PEP-II and KEKB. In the High En­er­gy Ring, two spin ro­ta­tors per­mit bring­ing lon­gi­tu­di­nal­ly po­lar­ized beams into col­li­sion at the IP. The lat­tice has been de­signed with a very low in­trin­sic emit­tance and is quite com­pact, less than 2 km long. The tight fo­cus­ing re­quires a so­phis­ti­cat­ed In­ter­ac­tion Re­gion with quadrupoles very close to the IP. A Con­cep­tu­al De­sign Re­port was pub­lished in March 2007, and beam dy­nam­ics and col­lec­tive ef­fects R&D stud­ies are in progress in order to pub­lish a Tech­ni­cal De­sign Re­port by the end of 2010. A sta­tus of the de­sign and sim­u­la­tions is pre­sent­ed in this paper.