The Universe shaped like a dodecahedron? I agree Plato got a lot of things right but he's not really meant to be listened to as a scientific expert
(in the Timaeus, Timaeus claims that the dodecahedron is the shape of the cosmos)
Very interesting though. The point of this paper is that this model satisfies some observational constraints from cosmic microwave background data, though any cosmological model has a
ton of very different tests to satisfy. The current model, LambdaCDM, with a flat universe, a cosmological constant, and cold dark matter, has passed pretty much all these tests with flying colors. No other one has. I'm not sure if this model has received such other tests - I've never seen papers about it before - but prior experience tells me it's likely to run into issues
Cool idea though.
Also, I'm pretty sure a soccer ball is a sphere with grooves, not really a dodecahedron.