Sorry for the delay in responding, I was working on something else and I wanted to be sure to take the time to properly reflect and respond on issue raised.
Tomas Vencl said:
is the put circles with the object's emojis always to 1 second events of proper time. Then is clearly visible, that in case of 2 observers is situation symmetric.
The green wordline, is the "reference" worldline (for the lack of a better term). I don't necessarily mean the reference frame, although it starts as that too. Events, the emoji circles, are shown, I guess somewhat arbitrarily, at one second interval on it's proper time clock. It is the "reference" in that these events are projected to any subsequent object's worldline added to the diagram such that the projected event occurs simultaneously as viewed from the "reference's" perspective. If one then changes "reference frame" the events no longer appear as occurring simultaneously and the user immediately witnesses time dilation.
Now, for the case of adding the events to each worldline based on it's own proper time clock. The issue is that all worldlines would appear with the same length and all events would always appear at the same relative locations. In other words, there would only be a single set of spacetime intervals, and the emoji would always remain on them. To demonstrate the effect of time dilation one would need to project one worldline's event onto a another. For a one to one relationship (only 2 worldlines shown) this would be feasible, but in a one to many scenario (up to 5 in my model) it then would become visually cluttered and complex.
The final point is that a user would want the events to be referenced from a different object's worldline. That is to make the object2's events the "reference". Currently, that would simply require the user create another diagram with object2 as the reference and the other worldline are then added relative to it. Ideally I could add a button to automate that process. This would then technically achieve showing another worldline (not reference worldline) with event at its proper time clock.
Please let me know what you think.