West LA could be getting a new residential tower, but Westwood's Condo Canyon continues to see shorter wood-frame projects coming out of the er....woodworks.  According to an e-mail tipster, a trio of mid-century apartment buildings at 10763 - 10787 Wilshire Boulevard were demolished late last year.  In their place, a six-story, luxury apartment complex designed by GMP Architects (Avant, 801 Olive Street) shall rise.  10777 Wilshire would contain 60 residential units above a 150-stall underground parking garage.  Amenities include a fitness center, meditation garden, concierge service and even an on-site salon.  A rooftop patio would provide outdoor kitchen space with spectacular views of Westwood and the Santa Monica Mountains (check out renderings after the jump).  Albeit a little off the main pedestrian corridor, the project's location sits within easy walking distance of the restaurants and stores within Westwood's busy commercial hub.  On the other hand, who can afford to live in a place with concierge service?  Promotional literature from CBRE boasts that units in some of the nearby buildings command rents in excess $10,000 per month.  10777 Wilshire probably won't hit five figures, but it certainly won't be cheap.  It's also worth mentioning that this is not the first time that development has been planned for these parcels.  Way back in 2007, Curbed LA reported that French designer Philippe Starck had drawn up plans for a 27-unit luxury condominium building on the site.  That not-so-attractive concept went nowhere amid the recession, but perhaps GMP's design will have better luck in 2014.