Achimedes Vs. Leonardo Da Vinci

Setting.... Trojan War... No Greek/Trojan Hero's allowed, nor can the God's intervene. Archimedes is holed up in the walled city of Troy with Leonardo's Greek army advancing rapdily. They've both had a year to prepare for this and have used all of their very considerable intellect to either defend or take the town. Who's Army wins? Is Leonardo smart enough to try the Trojan Horse tactic? Is Archimedes going to fall for it? Will Leo eventually take the town in some other way, or will Archimedes fight him off?

Battle of the Artificers.... Fights on.