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Victoria might have an overall statewide average density that's higher but people don't live evenly distributed across the state.Victoria has the most dense population and coldest climate other than Tasmania (which has very low population density and a small population size). You are ignoring the primary factors which determine what a virus will do.
Sydney is almost exactly the same size population as Melbourne.
Brisbane, Adelaide and Perth are all substantial cities. They all have big buildings, they all have public transport and so on just as Melbourne does.
Whilst very much smaller Hobart does have a CBD as such, it does have buses, people do go to restaurants and pubs and so on. It's a small city but people do normally come in contact with others and the basic requirements to spread the virus do exist. It also has fewer options for anything by virtue of its smaller population - Eastlands and Northgate (the two largest suburban shopping centers) alone would have had a decent % of the entire population through them since this started and both are completely indoor environments.
Adelaide and Perth aren't particularly warm in Winter. People wear winter clothes and use heating in buildings yes. Adelaide also gets most of its annual rainfall during winter.
And so on. About the only thing which is truly unique to Melbourne is that trams are a significant method of transport, being either a minor thing or nonexistent elsewhere. They seem an unlikely source of the problem however given their similarity to trains and buses one or both of which operate in all cities.
The one thing which does seem markedly different in Victoria is the approach taken. At the risk of sounding rather harsh, to someone looking from the outside it looks like a population whinging about doing what needs to be done combined with a heavy handed approach to the law neither of which are in any way helping.