Pyramid Scheme

An alien pyramid has appeared on Earth, squatting in the middle of Chicago. It is growing, destroying the city as it does - and nothing seems able to stop it, not even the might of the US military. Somehow, the alien device is "snatching" people and - for unknown reasons - transporting them into worlds of mythology.
Dr Lukacs is one of the victims. Granted, he's an expert on mythology. But myths are not something he'd thought to encounter personally. Or wanted to! Weighing in at 135 pounds in his odd socks and glasses, this academic is as assertive and aggressive as a jelly sandwich. At home in an office full of dusty books, he is ill-prepared for the great outdoors. Especially this great outdoors - full of man-eating monsters, dragons, angry sorceresses and bronze-age thugs. Sure, he has a couple of tough paratroopers along with him, as well as a blonde Amazon biologist and a very capable maintenance mechanic. Unfortunately, modern weapons don't work, and the Greek gods are out to kill the heroes. All they've got is their own ingenuity, and...
Well, yes, they've got Medea and Arachne and the Sphinx on their side (both Sphinxes, actually - the Greek version as well as the Egyptian). And at least some of the Egyptian gods seem friendly.
But that can be a very mixed blessing, to say the least. Oh, and whatever you do - don't mention dwarf-tossing.