Seems there are many results/pictures of the wave pattern yet all the
results/pictures of any particle pattern is just either an animation
or an impression of what it looks like.
No. What you see in those pictures is the actual impact of the real thing on the experiment's detection screen. Interference fringes are actually recomposing themselves, one photon at a time.
Yet another example for the record :
If you don't alter the system, you may wait any time you want between each firing of a photon, the interference figure will emerge. The commonly accepted explanation of that phenomenon is that each particle expresses one of the potentialities of the photon field, and that every one of those potentialities has to actually happen according to the probabilities that are attached to it in the mathematical model.
Individual photons are just a partial expression of their field. Partial expressions have only that much probability to happen (the probability stated in the model), but the global repartition has 100% chance to happen over iterations.
This is why, in the above picture, you see individual photons "magically recomposing" the typical pattern (interference fringes). There is no need for "recomposition" and there is no "magic" as soon as you consider that the very same field is excited every time, and that field is behaving according to its (probabilistic) nature.
Metaphorically, if one photon particle was an answer, the field would be the person speaking. Wishing that the particles exist by themselves, without considering the field, compares to according a real existence to a sentence, without looking at the fact that there is a person speaking.
It is as relevant as trying to understand the rules of Bridge by tearing a deck of cards after the game.
I'm curious to see this particle pattern when the photons are being
It's not possible to do this. As the double-slit experiment itself demonstrates, it is impossible to "observe a photon" when photons are producing this "pattern" : whenever one detects through which slit the particle went, interference fringes cannot be observed anymore.
This phenomenon is accounted for by Heisenberg's "uncerttainty principle" : we cannot know both the position and the momentum (mass, speed, and direction) of the particle at the same time. As from the moment we're observing at which slit the particle is passing through, we know its position, and because of the interaction that this very observation implies, its direction is undetermined.
Look at what the observation is causing to the experiment in the following popular science video (at 7:00) :
So, if you observe that typical pattern of interference fringes, you don't observe individual particles directly, and vice-versa.
The unexpected result of the double-slit experiment has had theoretical physicist argue for almost one hundred years about weird and misleading concepts like "spooky action at a distance", "particle-wave duality", "wavefunction collapse", etc.
Bring this altogether with the fact that original Quantum Mechanics was incompatible with Einstein's Relativity, and you'll feel a bit of the pain modern physics did endure to be born.
Today, it seems that scientists have overcome those apparent contradictions of Quantum Physics in a quite recent edifice called Quantum Field Theory :
According to QFT, particles are not the ultimate reality, they are the momentaneous expression of a more perennial, albeit fundamentally probabilistic, natural phenomenon called quantum fields.
Those seem to be able to account as well for waves as for particles, as well for Special Relativity as for what happens in double-slit experiments.