Mirrored Icosahedron dome - Pocket Universe

Will the outside panels be illuminated from the inside?
Will the pattern be cut right through the plywood, leaving
holes in the remaining material (which would then have to
remain a single connected component to support itself)?

Correct,

Correct

Correct.

This is an example of one of the panels that I created for this project. I plan to cut the other 15 panels this week
https://instagram.com/p/3FkLcag5d1/?taken-by=funvill

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What about Gila products?

It will give you nice effects if there is an outside backing, or if there was none. Daytime and nighttime would give different effects. This is the same film used for infinity mirrors. Maybe worth a thought? It’s cheap…