I may be wrong, however at the moment i don't think you will get a solution that will have an accurate TOPO & work on a smart phone.
I use Navigon on my Samsung S3, which is a supplied app that was on my phone & it uses a Garmin supplied free City navigator style map.
It needs GPS to be accessible by your phone (wont work so well in dense bush), works without phone reception, gives turn by turn directions & keeps your location centered.
It is no more accurate than your average city nav map & does a reasonable job in rural areas, no bush tracks though.
I find the best solution for me is a dedicated GPS. I use Garmin; I have 2 Nuvi's (battery life ~3hours) & a handheld Etrex Vista that has a battery life of ~24 hours.
All 3 can run Topo maps on a micro SD card, I use Garmin Topo & OZ Topo.
Garmin Topo can be displayed in 3d on enabled devices (neither of mine) & on your PC with BaseCamp (free Garmin program - does not come with a map).
It is very accurate in most places when you get way off the beaten track, however lacks in some places.
Luckily OZ Topo usually has those places that are lacking covered well.
OzTopo is just as accurate, if not a little better than Garmin Topo in most places & has very few places that are not covered accurately.
The best part about OzTopo is that it has a 2 layer format so you can turn the TOPO layer off & just use the roads & tracks layer to navigate without the complication of the topo lines.
Great if you are just using it in a car or on a motorcycle.
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