I was thinking about the anomaly and why things associated with it look the way they do. Especially the scene inside Warwicks mind has a really organic, almost fleshy feel to it. So I crafted a little theory of how the arcane, and by proxy Viktor represents the organic/chaos and Jayce represents the artificial/order (and vice versa, cause they always mirror eachother anyways)
This theme mostly shown visually throughout the show and I believe, one time hinted at when Viktor mentions "The sublime intersection between order and chaos."
Let's start with THE visual metaphor for order in the show, which is, of course the gear.
Why? Because a gear is by default something that does not occur in nature - it's man made, a symbol for tech, machines, and progress. It most prominently appears here:
So when Jinx shoots the cannon into the council chamber, she literally smashes the "order", represented by the gear of the council table, which is later repaired with gold, showing how things can be fixed, but are forever changed by said chaos.
I also found it really interesting, that when Viktor and Jayce are floating, Jayce is the one that playfully pushes a gear through the magic - which, at this point, does not corrupt it, showing how the artificial and the organic are in harmony at that moment.
Later, Viktor remembers Jayce by the gear, that has by then become corrupted, and when he gets shot, rolls out of his hand, symbolizing the loss of the last remaining piece of this fusion.
On the other hand, the corruption of the anomaly has by this point literally become a piece of jayce - and his hammer, formerly artificial and orderly, has been changed into what resembles a butterfly (again, chaos & nature)
Which brings me to the visual representation in their physical appearance:
Jayce starts out quite clean looking. His hair, his white coat, the almost geometric lines - everything is perfectly orderly. I also think his proficiency as a tool maker plays into associating him with artificiality and order - literally bending things into shape by force. The gear also appears behind him on the men of progress mug.
Viktor on the other hand is physically impacted by the (cruel) chaos of the natural world - his body is twisted, asymmetrical and also, dying. I think his whole arc in Season 1 has many moments showing how death is inseparable from the natural world - it is, as Singed points out, part of his subjects.
I think the colour palette is also important - the hexcore is purple and black, representing death, while the anomaly is very colourful, representing life or maybe even chaos. Both are linked together by this web like structure, that ties in the organic aspect.
Arcane wouldn't be Arcane if things didn't get mixed up at some point. I think chaos, while not manifesting physically in the beginning, was always part of Jayces mind, while Viktor in his, always wished for order/control over his own body.
Commune Viktor sort of exists in an in between state - all the imagery surrounding him is very organic - while his body has become hardened and artificial (by Jayces hand no less). The further he gets in the glorious evolution, the more machine like his body becomes - while Mage Viktor seems to have again embraced the organic, as can be seen by the landscapes that surround him.
Overall, I think it's really interesting how the show visually plays with those two elements and making a point of fusing them together many times, in a way that sometimes appears harmonious (aka the commune) but ultimately is doomed to fall apart.
I think even more than chaos and order, it also represents science and nature - how one tries to shape the other, but can ultimately only go so far. If Hextech is the attempt to fuse them, then real Magic transcends them - just like Viktor and Jayce visually fuse together in pieces throughout the show, but then finally transcend together.
Updated: I just found another interesting example of this, in this shot. On the left you can see Skys notebook (containing plans to clean the Undercitys air using plants) - contrasted with the plans for hextech weapons and again, the man of progress mug on the right.