Eucalyptus falcata I recently discovered a large Silver Mallet Eucalyptus falcata, which had blown over to reveal its amazing root system. In this district Silver Mallets occur on our oldest land surfaces-shallow ironstone remnants of ancient upland mesas. I usually find them in reserves on the highest points of lateritic upland boundaries surrounding river catchments.
Dimorphic root system Proteaceae plants such as banksias and hakeas have dimorphic root systems, but they rarely occur in adult eucalypts.
There are a couple of great examples on the Breakaway Walk in Foxes Lair, which have fallen over but remained alive with side branches taking over the function of the main stem.
Fallen 10 metre Wandoo on gravel soil
Shallow root systems are certainly not limited to Australia. As with Australian trees, tap roots are inhibited by hostile subsoils, some for other reasons such as pines on permafrost.