I don't believe that a torus is homeomorphic to a cube, so in fact the stuffed crust is not adequately explained by the cube model. We can approximate the stuffed crust by modelling either as sushi or calzone and receive adequate results.

[–] InputZero@lemmy.ml 7 points 10 months ago (1 children)

The sushi model is more robust as it more accurately defines the thermal dynamics of the stuffed crust system. A calzone model includes closed off face, while the faces can be pinched to an infinitesimal point to create a stuffed crust like pizza. Those faces still introduce a thermal graduate to the cheese and won't replicate the results of when we cook our awesome pizza. If instead we permit the sushi model to exist in non-eucludian space we can accurately define a stuffed crust pizza with the sushi model by bending our dimensions. As a result of this the cheese-face interface is better described however it also must exclude the calzone model for describing a stuffed crust pizza.

Thank you for coming to my bullshit TED talk.

[–] BluesF@lemmy.world 5 points 10 months ago* (last edited 10 months ago) (1 children)

I realise that we have thus far only considered the crust as a separate entity, which is of course toroidal (and for which we should evidently add a new form to the model for - I would propose the 'doughnut'), however the full pizza with a stuffed crust is not - it has no hole. By compressing the centre of a calzone until the top and bottom faces meet we reach the full stuffed crust pizza. Perhaps we've been wrong all along...

[–] InputZero@lemmy.ml 5 points 10 months ago

By George I think you have it! Using radial coordinates and a calzone model a pizza is toast but a stuffed crust pizza is a calzone. How could I have never seen this before?! It's brilliant!