Debutant Charlie Wakim's gigantic ton laid the foundation and then spearhead Jackson Bird's fifth 10-wicket match in his First-Class career marched the Tigers to an outright win in the JLT Sheffield Shield at the Adelaide Oval.
South Australia - through Jake Weatherald's 150 and half centuries to skipper Travis Head and Callum Ferguson, looked to have offered enough resistance on Day 4 to secure a draw before a remarkable collapse.
The Redbacks lost 6/3 in 21 deliveries just before the Tea break to only set the Tigers 110 from 45 overs for victory.
Tom Rogers sparked the collapse when he yorked Jake Weatherald and then Jackson Bird took over, finishing with match figures of 11/112.
The Tigers top five each contributed in the chase as they cruised to the total four wickets down, Matthew Wade fell when scores were level for 15 after he scored 77 in the first innings batting up the order at number four.
Aside from Jackson Bird's haul which will rightly grab the headlines on the final day, it was first-gamer, 27-year-old Charlie Wakim who received the bulk of the plaudits through the first three days.
His magnificent 160 (from 333 deliveries) lifted the Tigers to a mammoth 467 in the searing Adelaide heat.
Not only that, but he snared a key wicket on the stroke of lunch on Day 1 with his serviceable off-spinners.
The Tigers return to Hobart on Wednesday for a few days of recovery and preparation before returning to the mainland on Sunday ahead of their next Shield clash, a battle with table-toppers Victoria at the Junction Oval from Tuesday.
This match will begin from 10:30am and be on livestream at cricket.com.au and the CA Live app.