So there's a claim of superficial type "change" happening depending on circumstances:
For example, an INTj, once in a management setting, will be prone to decentralize and devolve/delegate authority the same way an ESTj would. But an INTp, by contrast, will develop authoritarianism, like ESTp would. An ENFj in a social environment, to gain a foothold there, will be prone to moralization, like ISFj would. But an ENFp will go towards accommodating, the same thing ISFp does.
And relations within each cycle happen to be mirage, semi-dual, super-ego (with super-ego always being opposite each other in a cycle).
From socionics masks article:
Semi-dual
This "mask" is associated with learning problems.
Mirage
This "mask" is associated with the problem of inner freedom: restraint, the inability to make an independent move, stress, escape from reality into a world of illusions. Internal stress accumulates in the person, which he does not know how to manage. As a consequence, he creates a tense atmosphere for others, withdraws into the world of illusions: computer communication, which replaces real life, or computer games, the feeling of being lost, disconnected from reality.
Super-ego
This "mask" is associated with the problem of survival. The person does not live freely, but "survives" and does what he "must", not comparing this with his strengths and abilities. No balance of work and rest necessary for recuperation.
I didn't go through each pair to see how it matches, but at the first look it seems like the same thing might be the source of both. One interpretation might be more accurate still, of course, for example it might be that cycles are "closed", that is, only three of those masks ever happen, or that cycles only show the most popular masks while all are possible.