Calculation of surface fragments (continents) on an expanding sphere (Earth)

Question

Suppose that plate tectonics are erroneous, and our planet Earth expanded over time, and continents were remnants of the earth's crust that once covered the entire surface of a smaller planet, and ocean floors were extruded mantle, a manifestation of expansion.

http://earthexpansion.blogspot.com/2011/02/earth-expansion-synoptic-simplicity.html

http://earthexpansion.blogspot.com/2011/02/synoptic-simplicity-again.html

It is difficult to imagine how everything will look on a shallower Earth. Well, some people did the visualization, but what about the calculations?

Unfortunately, my experience is exclusively related to Boring Business Brogramming. Therefore, when you think whether development, such as America, rotating to accommodate the Pacific Ocean , is possible, I don’t even know how to approach this problem.

Today, the Earth and geometrical data - a sphere (view), surface fragments (continents, polygons?) - could retro-calculate the Earth to a smaller size, taking into account certain restrictions (continents cannot be arbitrarily deformed) to find out if this history of the movement of the expansion in geometric form?

How would you do that? Concepts, approaches? Tools, tricks? Sources for location data?

Update

An important factor that should be taken into account when reverse engineering the Earth to the previous continental configuration on a smaller planet is the age of the ocean floors measured by the U.S. Navy and others . As you can see on the map, the ocean floor is very young throughout the world compared to the continental crust. Moving back in time and blowing away the planet, the youngest ocean floor extends (red, to spreading ridges ) should be removed first, because we were not there.

Thus, these measurements significantly limit the problem of reconfiguration of the surface on a contracting sphere. However, I do not know how to use geometry in such a problem.

Answer 1

From how I understand your problem, the surfaces of all modern continents will be the same at any given time, and the total surface area of ​​the Earth will decrease as you move backward in time. Right?

So, the question is whether continents can be placed on Earth so that their total surface area does not exceed the total surface area of ​​the Earth at this point in time. And there are some limitations to this problem: you cannot force continents to jump from one hemisphere to another in a short period of time, for example. Therefore, you will need to consider the gradual movement of the continents.

Difficult. The immediate problem with this is probably the Algorithm for setting two-dimensional polygons in an area? But additional features (for example, to divide the continent into several parts, if permitted by this theory) makes it rather complicated.