I used Sonic's complex surface casting function. I placed the point where the theater's speaker room would be, simply because that's where most of the sound in the theater would come from (and also because Aalto's ceiling was designed to accommodate one source point at the front of the space). Ignoring the fact that Sonic likes to raycast through the surface, it seems that the acoustics of Viipuri would actually work quite well for this theater. And why reinvent the wheel, amirite? (WRONG!)
Anyway, if I were to 3D print this "tile" it would just have to be immensely scaled down, as it is not so much a tile as an entire ceiling datum. Indeed, this is what I have done with the STL file.
The scaled-down tile compared to the overall ceiling assembly
Assuming that I would actually place this object into my theater - which I already established I wouldn't, but let's try and suspend our disbelief - materially it would be more or less the same as the Viipuri Library's ceiling; that is, shaped sitecast concrete clad with high-quality wood. This is only partially a shameless cop-out, as there is a good reason to use wood - many kinds of wood have good acoustic properties. I'll never forget this because it was ingrained into my mind by my elementary-school music appreciation teacher. She would always complain that when they restored the school they didn't replace the music room's crappy metal doors with nice, acoustic, soundproofed wooden ones. Specifically I think I would use Australian or African blackwood for the ceiling cladding, as blackwood is a tonewood (wood used for making musical instruments) that according to guitar makers (via Wikipedia) is prized for "warm, clear, bright sound with good volume."
can i like this?
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