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The simplest solution is branching like a tree:
No superstructures, just four switches (like the one below: not only the end but the centerpiece is movable, too), one train passes three of them.
But such a simple bifurcation (AFAIK the one at Courtalain on the LGV Atlantique was such for some transitional time) is a bottleneck. To allow two trains to pass, you need at least one bridge:
If train control foresees switching tracks there must be such switches on one arm. So one superstructure, six switches, one train passes 3(4). Most high-speed line connections and bifurcations are like this. Most of them in Italy, as the Italian high-speed philosophy involves connections to conventional lines every 30-50 km, often built out in a pharaonic way:
On a very busy line, it would be ideal if track-changing at the branching would be level-separated, too. What to do? One could double the tree:
But 4 superstructures, 14 switches, every train passing 5 -- expensive, and this number of routes is overkill. The following still does all 12 cases, but spares 2-2 bridges and switches, and switch passages for one train can be 3-4.
*Lunatic*, n. One whose delusions are out of fashion.
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