Rob posted the new image to easter-eggs without any accompanying message.

An identical copy of the image was immediately posted to the official-art channel:

1) 7, 18, 21, 11 pixel squares in image corners

Using these lengths to index into the alphabet (starting at one) gives the string “GRUK”
Referring to grook

grook (Danishgruk) is a form of short aphoristic poem or rhyming aphorism created by the Danish poet, designer, inventor, and scientist Piet Hein.

2) x2 + [1.4^x*1.6y]2

When set equal to one, this forms an equation which depicts an egg when graphed

3) Johannes Kepler’s Signature

wiki

Kepler was a mathematics teacher at a seminary school in Graz, where he became an associate of Prince Hans Ulrich von Eggenberg.

He then set about calculating the entire orbit of Mars, using the geometrical rate law and assuming an egg-shaped ovoid orbit.

4) 0345351738

ISBN for 2061: Odyssey Three

5) 202/456/1111px lines

White house phone number (oval office)

6) Kumblehaven

7) Sergels Torg

8) — .. —

Not found until revealed in a post from Rob.
Morse for MOM: Mars ORBITAL Mission

9) Oval shaped iris

10) Water drop unknown text (?)

Unsolved