All the planets revolving around the sun is materially different than all the planets and the sun revolving around the Earth. Maybe I am misinterpreting what you mean by heliocentric.
I'm referring to the neo-tychonic geocentric model, which has been shown to be equivilent to the copernican model: http://arxiv.org/pdf/1302.7129.pdf
This is fascinating. Tycho Brahe's geo-heliocentric model is bizarrely fantastic. Thanks for sharing, Tausami