The Game Is Afoot

But

“Look conquering an island by making it not an island any more is ridiculous that’s never going to be believable.”

But

He offered to let them surrender peacefully. They told him to get fucked, secure in their place on a fucking island in a fortified city.

“Fine.” Said Alexander, cracking his knuckles. “Get me my engineers, we’re building the land out to this island.”

“Holy shit”, his generals presumably said. “Holy fuckin shit, man.”

And so, at Alexander’s command, his engineers constructed a causeway to connect the island of Tyre to the mainland. It took eight months. Tyre hurled everything they could against the workers, so Alexander rolled siege engines out there to protect them.

Anyway, long story short, the causeway was completed, Tyre fell and was burned and sacked (unusually, as Alexander normally did not allow his army to pillage and plunder and destroy, but he was, apparently, mega peeved).

Ancient History Encyclopedia says:

“ Negotiations having failed, Alexander began his operations in January 332 BCE. After occupying old Tyre, he began to construct a causeway (or mole) across the channel toward the walls of Tyre, using rocks, timbers, and rubble taken from the buildings of the old city. Initially, work progressed well: the water near the mainland was shallow and the bottom muddy, but, as the causeway lengthened, the Macedonians and Greeks began to run into trouble. The seafloor shelved sharply near the city, to a depth of 18 ft (5.5m). Work slowed to snail-pace, and the work gangs found themselves increasingly harassed by missile fire from the city walls.

Alexander constructed two siege towers from timber covered with rawhide and positioned them at the end of the causeway. Artillery engines at the top of these towers were able to return fire at the walls, and the work gangs erected timber palisades as an added measure of protection. Work proceeded, and Alexander spent much of his time on the mole, dispensing small gifts of money to his sweating labourers and leading by personal example.” 

Traditional Mexican clothing, photos by Diego Huerta