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The secrets of Greek Fire were traded to China and India in exchange for early gunpowder over a century before 1061 (by the Muslim powers), but it took a while for either technology to be adopted by the ruling empires. However, the Chinese Navy finally found a use for Greek Fire in a campaign against the Cambodians. The liquid fire was far more useful than gunpowder arrows at sea, for it would float and be spread by water! The Chinese Navy achieved total domination after just a few battles with fire-ships. Greek Fire would be a standard addition to Chinese ships for years to come.
At roughly the same time, Gunpowder made its first appearance in the Christian world. An incursion by the Caliphate of Damascus into Roman territory included bronze cannons, marched to Caesarea. The Romans prepared for a traditional seige, but were stunned to see their walls knocked down with ease. Though a Roman counterattack turned the battle back in their favor, the walls of Caesarea were utterly ruined, and the Emperor invested in research for new methods of protecting fortifications from gunpowder.
At this time, the Muslims assaulted Malta. The small island had long been a Christian stronghold, from which the Roman Empire staged its attacks on Berber Sicily and Tunisia. Since it was critical for controlling naval access to the West Mediterranean, the Roman Emperors took greater interest in it than they had Tarento; massive fortifications dotted the island. Control of it would be a major asset for the Berber Emir. For this reason, in 1061, he sent an invasion fleet to attack it.
The commander of the fleet and army was ordered to attack Marsaxlokk Bay, a large sheltered area on the south-eastern coast of the island, and then march through the relatively low terrain to the major Roman fortresses on the Grand Bay. The army would prevent resupply by land, and the navy would guard the Bay itself. However, fearing attack by Roman fire-ships, the commander instead landed his troops at Salina Bay in the northeast. This meant that his army had three choices: Move through a low, flat, narrow stretch of land between the coast and risk being cut off by defenders; march west around the high terrain in front of them and use a much wider pass; or move over the highlands in a straight line, which meant they would have to slog uphill against any Roman defenders.
The commander chose the second option, a march through the moderate terrain of the island's center, which would probably take 3 days. However, he was ambushed in the pass by Roman troops from the coastal forts, who assailed him from the highlands on either side of him. His numbers were slowly wittled down as he advanced.
The fleet continued sailing to the Grand Bay, to cut off and destroy any ships that might be at port. However, they met heavy defenses; great machines that could shoot the liquid fire at them lined the 2 bays, and many catapults had been set up to fling bursting canisters full of it at the fleet. To make matters worse, a massive storm hit, battering the fleet more than the forts on land. By the end of the first week, the naval force was incapable of combat, and merchant ships were moving in freely.
The land forces, by the time they reached the Grand Bay, had learned that the remains of the fleet abandoned them. When offered terms of surrender, the commander agreed quickly, and the Berber assault on Malta ended. The Emir agreed to pay a ransom for his forces, and the war ended there.
In Europe, the petty states between Poland, Frankia, the Roman Empire, and the Magyar Kingdom began organizing themselves under Bayan the One-Eye, King of the Avars, as he styled himself. This new kingdom ruled what is IOTL Hungary, more or less, and provided a buffer state between the Roman Empire and the rising Christian powers of the north.
Toward the end of the century, interest in the Atlantic islands discovered by the Muslims and rediscovered by the Vikings returned to the court of the Caliph of Cordoba, who sent small naval expeditions to reclaim the islands of Madeira, the Canaries, and the Green Islands, and even assert his authority at the Jahannam Islands. The former ones had slipped out of the Caliph's grasp when the great Caliphates broke apart, but he intended to reclaim them, and even send ships further south from the Green Islands.
In North America, the Indians of Georgia and South Carolina put the iron weapons bought from the Vikings to good use. The local chieftains of that region became the dominant powers of their Mound-Builder culture, and new ideas came from their contact with the Europeans. For example, some of them began to adopt a written language, and others experimented with stone architecture. But even in the midst of all this, the plagues that had decimated indian populations on the St. Lawrence River began to spread. Though their effect was less extreme than in those regions frequented by the vikings, thousands still died.
In Mesoamerica, the Maya hegemonies collapsed, and a remnant of their great society formed in the Northern Yucatan, which turned to a maritime culture, trading frequently with Taino populations in the Caribbean. Further west, new city states were emerging, populated by Purhepecha peoples.
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