Carnoustie for the non-golfer.

10 min north on the A92. HES; adult £5.50, child £3.30. Open daily year-round.

The ruined Tironensian monastery where the Declaration of Arbroath was signed in 1320 — the letter to Pope John XXII asserting Scottish independence that remains one of the founding documents of the nation. The ruins are substantial and atmospheric. The visitor centre is clear-eyed about the politics.

Arbroath harbour, 10 min north. Buy direct from the smoke sheds; a pair costs a few pounds.

Haddock split and hot-smoked in small batches over hardwood in half-barrels at the harbourside — a process with Protected Designation of Origin status unchanged for generations. The best approach is to buy them hot from the shed and eat them on the harbour wall. Iain R. Spink and Swankie Smokies are the names to look for.

3 miles west of Carnoustie, off the Barry road. NTS; admission charged, free for members. Open Mar–Oct, Thu–Sun.

An 18th-century working grain mill on the Barry Burn, restored by the National Trust for Scotland and still capable of milling grain. The guided milling tours run on Fridays during the season. Small, quiet, and genuinely interesting if you have never watched a millstone work.

15 min west via the A92. Free general admission; some exhibitions ticketed. Open daily 10am–5pm.

Kengo Kuma's building on the Dundee waterfront is the most interesting piece of architecture built in Scotland in the 21st century — a ship prow of textured concrete and glass reaching over the River Tay. The permanent Scottish Design Galleries inside are free and cover everything from Charles Rennie Mackintosh to oil rig interiors.

15 min west, Discovery Point, Dundee waterfront. Adult £11.50, child £6.40. Open daily.

Captain Scott's Antarctic research vessel, built in Dundee in 1901 and moored permanently at Discovery Point. The ship is in excellent condition and fully accessible below decks — the officers' and crew's quarters give a clear picture of what two winters frozen in the Ross Sea actually looked like.

15 min north via A92 to Inverkeilor, then minor road to Lunan. Free; small car park.

A two-mile arc of dark sand backed by low dunes, with the crumbling 12th-century Red Castle ruins on the headland at the south end and virtually no one else present on most days outside July and August. One of the east coast's best-kept secrets.

15 min north of Carnoustie, 3 miles north of Arbroath on the coast road. Free.

The small clifftop village where the Arbroath Smokie was originally made. The coastal path south from Auchmithie to Arbroath runs along dramatic sandstone cliffs with sea-caves and natural arches. Allow two hours for the full walk.

25 min north via Arbroath on the A933. Free exterior; check HES for tower access.

One of only two Irish-style round towers surviving in Scotland attached to a cathedral, built around AD 1100, with a carved Romanesque doorway two metres above ground level. Brechin is a town that does not get tourist coaches, which is most of the point.