That isnt chicken wire. I used to have the same case. It is like some sort of silicon. In terms of chiucken wire...I dunno who you would get that to stick without usinbg glue which would ruin the look, unless the wire was stiff enough that you could glue it behind the casing and not directly to the side window?
You could use a straight edge and a soldering iron. But the soldering iron will cool down rather quickly and may make inconsistent lines. Also if you even care, it may put off some toxic fumes, so make sure to be in a large room or have some sort of ventilation.
Another option that may work would be to get a silver pen from a crafts store and just draw the lines on the inside.
Or use real chicken wire and build a frame that you would then bolt to the case/door.
Or get two pieces of plexiglass and place the wire inside the two pieces.
Or get some craft wire, silver, grey, green, copper and place posts along the door and just string the wire across.
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...Or get some craft wire, silver, grey, green, copper and place posts along the door and just string the wire across.
I'm thinking some approx 20# test fluorescent fishing line would be easier to work with. You'd have to look at it in the store to be sure on the thickness because they use different materials. Just use a bit of super glue or hot-melt glue at each end, and it's easy to reposition if you screw it up. I've seen fishing line comes in fluorescent blue, red, and green. I think the blue would be closer to the effect in the photos.
Big pluses, if it comes unstuck it won't short anything out, and you can remove it at any time in a few minutes.
edit to add:
Another thought though...I don't know if a case ambient runs warm if the fishing line might "sag" unacceptably as it warms up...so I'd tack up a few strands in my planned pattern and try it out for a bit before taking the time to do the whole case window. I'm thinking it probably won't be a problem but it's easier (and less frustrating) to test first.
edit to add:
included "hot melt glue" as an alternative means of securing the filament end-points.
edit to add:
also remember that when you add something like that, it can make the window a real biotch to clean. It might be better to try the "sandwich" idea in the earlier post and seal the sides of the sandwich plates to keep dust from getting inside where the filaments are located. Hot-melt glue works well for that kind of sealing when the pieces are close together like they would be here. But, hot-melt would be more difficult to un-sandwich than if you just used tape. Then all you have to clean is the unobstructed smooth surfaces of the sandwich pieces.