Easter egg: This can only be done when viewing the DVD on a computer. On the Special Features DVD, go to Phase 2, then go to Deleted Scenes. Select the right arrow until you are at the last menu of deleted scenes and there is just one arrow pointing left near the bottom of the menu. Highlight this arrow, and move the mouse a bit to the right, and a grey dot will appear beside the arrow. Select this arrow to view a clip about rain on the set of Lost.
Easter egg: Once you have watched the clip from the Dharma Initiative, you will be taken to a menu with three options, numbered 1 to 3. Select three then press 'up' on your remote. If you look towards the model dome at the edge of the screen, you should see that one of the triangles has been highlighted in red. Press select for the easter egg.