It has been some time since I have thought about this stuff but the beautiful simplicity is easy to remember. As Venus makes a pentagram from the alignments at Inferior Conjunction the planet Mercury makes a triangle with conjunctions happening every 115.88 days, that's 3 times in less than one year.
Here are some illustrations I made awhile back;
This shows Mercury's Inferior Conjunctions with Earth which make a triangle.
Now here are Mercury's Superior Conjunctions with Earth that make an inverted triangle.
Here is what we get when both of these synodic periods are added together.
The star of David.
This is an approximation of these alignments and fail to represent the actual mechanics of these motions. I think the realignment of this cycle is off by 17 1/2 days. Like I said it has been awhile since I have thought about this stuff.
What I haven't done is put these alignments together, Venus' pentagram and Mercury's star of David, in their correct astronomical alignment but I kind of get the idea. There are repeating cycles yet does this whole cycle repeat? Remember there are a lot of motions under way here.
Add to this the opposition alignments with Mars, which I think is a double square, and then we get geometrical shapes that are described in both Freemasonry and Gnosticism. Keep in mind that while these alignments are occurring over time the planes of these planetary orbits are also following points of alignment (node crossings) and these orbital plane nodes are all moving.
I cannot put all of these motions together in my mind so this is where an animation would come in handy. I think it would be valuable to put all of these physical orbital characteristics into an animation in the right perspective so we can see these alignments in motion. The key here is accuracy in the orbital alignments and apparent motions with an adjustable point of observation.