Lexus will unveil the LF-C2 Concept at the Los Angeles Motor Show on November 19th. For now, the Japanese car manufacturer has managed to keep the details closely guarded but they have described the upcoming prototype as an exciting new open-air concept. 

That is not much but the LF-C2 could be an updated convertible version of the LF-LC Concept, but it also could be a preview of the upcoming RC / RC F convertible

Regardless of what it will be, the LF-C2 Concept will feature a rakish windscreen, a special rear deck and an integrated trunk spoiler. Furthermore, the prototype appears to have two seats with a unique nose.
Social Campaign 

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According to Lexus, the upcoming LF-C2 Concept will be simultaneously revealed hour by hour through a "72 hour eclipse" online social media campaign that can be seen at:  Check for this on this 16th.

Source: Lexus