Come to think of it, the Earth is similarly antisymmetric. Our south pole is capped with a land mass while the north pole is in the middle of an ocean surrounded by land masses. One one side of the Earth, the Atlantic ocean is flanked by the Americas on one side and Eurasia/Africa on the other, with the land masses narrowing southward. Exactly opposite the North Atlantic lies Australia, flanked on either side by oceans narrowing northward.
So what about plate tectonics and Pangaea? Earths continents have outlines that seem to fit into each other like a jigsaw puzzle suggesting that there was once a single land mass. How does this sit with what you've said about the Earths' antisymmetry?
Well, firstly, you can look at concretions and other large stone balls and deduce how they were formed in the new Paradigm. As all balls are produced in similar fashions we should see similarities.
We see in large sandstone concretions they are pieces of prestratified terrain that has been apparently, lifted into the air, carved into a sphere and dropped back to earth. Some possess a hollow core, most do not.
We see in large geodes they have been completely melted and the inside gases completely ionized and began to crystalize. Some have a flat edge where it apparently hit the ground and the vapors inside cooled differently than the rest. However, many seem to show polar symmetry. A top divit, a bottom protrusion and almost a cylinder of material wrapped around it. A Geode then is a molten ball of plasma that cooled the outside first and the crystals formed as it fell, some continuing to form after it hit the ground.
We also see a mixture. We see Several smaller balls or molten ironlike metals form seperately, then are brought together and pinched into a larger ball. This whole thing is then covered in silicates and dropped to the ground. Some breaking open, showing some spaces between the smushed balls.
So... Lets look at those as planets. The Sandstone one appears to be akin to Mars. No real magnetic field and it's metals seem to be on the surface... Not alot of basalt.
Earth seems to be the last one. We have continents, with ridges in the middle of all the oceans in between. If there were spaces in the earth they would have grown with time as the solar wind passed the planet causing the openings in the heart of planet to spin via inductance. That plasma would likely carve out a larger and larger niche for itself. Mercury might have a pocket like the earth, perhaps a smaller, lopsided one. This could also explain earth expansion.
This video explains the continental crustal imbalance on earth.http://www.youtube.com/watch?v=Om9H0Qv0LSU&feature=related
As for geode-planets... I am not sure I can say any are, with any confidence.