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Some of teh Easter eggs have to do with LOST, like the Dharma symbol in the lower right hand corner of the very first shots, and Beth might be related to Hugh MacIntyre from the LOST ARG

Source

There is a Lost easter egg in Cloverfield's opening sequence. Eagle eye viewers will notice a Dharma symbol, similar the pearl station logo from Lost.

There is also a strange Lost coincidence with Beth McIntyre. She shares the same last name as Hugh McIntyre, the Communications Director for the Hanso Foundation. However, he was killed in the Lost Experience.

Interestingly, there is also an image of the Statue of liberty head from Cloverfield hidden in the new Lost ARG - Find815.com.

If you haven't been following the Find815 ARG, you still have time to get caught up before Season 4 of Lost begins on January 31!

Here is a summary from Lostpedia:

The storyline revolves around an Oceanic IT technician Sam Thomas who is intent on finding his love, Sonya, who was on board Oceanic Flight 815 as a flight attendant. Sam has been active in campaigning against the airline's decision to cancel searching for the flight, disgruntled that they wish to move on and resume business. The player learns of Find 815 through a hacked video placed on the flyoceanicair.com website.

BTW, This ARG is HUGE, and way more of a "game" than the Cloverfield ARG. If you are interested in playing along, or just catching up, check out the Oceanic Conspriacies blog.

And once Season 4 of Lost begins (Jan 31st!), come on over to my favorite Lost blog - TheLostCommunity.com - where we discuss the episodes each week.