Trivia: Sigourney Weaver actually makes the basketball shot. Even though the ball is out of shot for a second, she made the shot with no assistance. The shot cuts quickly because Ron Perlman dropped character in celebration, which can be seen in deleted scenes online.
Trivia: In the scene where Ripley discovers the room full of failed clones, she stumbles upon Ripley 7, a hideous, malformed but still living clone. The entire scene after she discovers her ill-fated 'sister' is ripped directly from, and is an homage to, one of the most famous deleted scenes from the original Alien. Ripley finds a long dead Brett and barely living Dallas cocooned in the bowels of the Nostromo, and Dallas asks her in a pathetic, painful voice to kill him. She obliges by using her flamethrower. The scene in Resurrection is almost 100% identical, everything from the design of the flamethrower to the emotional reaction and facial expressions she had in the cut Alien scene.
Trivia: Purvis is one of the human hosts for an alien and it rips through his chest on the betty. In an episode of The X-Files, the man who plays Purvis plays a scientist who is a human host of an alien which burst through his chest.
Trivia: Both Winona Ryder and Ron Perlman nearly drowned during the filming of the underwater scene.
Trivia: Joss Whedon's original script followed a cloned Newt (from "Aliens") instead of a cloned Ripley. Newt was going to have much more overt gifts and abilities thanks to the cloning process, and would have single-handedly fought off the new alien threat. Many who read the script compared the story and Clone-Newt character to Whedon's TV show "Buffy the Vampire Slayer" - just with xenomorphs and a future setting instead of vampires in the modern day. Eventually, it was decided to swap out Newt for Ripley, given she was the star of the series.
Trivia: On the original design of the newborn, director Jean-Pierre Jeunet designed the creature with both visible male and female genitalia. These were actually present on the creature model throughout filming, but when the studio saw the finished film with the visible genitals, they ordered Jeunet to digitally remove them because they would gross out the audience.
Chosen answer: Well firstly the queen was probably genetically engineered, like Ripley herself. A few days might be all the time they need to have a fully grown queen created. Secondly the 8 incubated victims were only the latest batch, they had been incubating people with xenomorphs for quite a time I suspect.
lionhead
With regards to the quick growth of the alien queen, it is standard for the xenomorph in nearly every film they appear (Aliens is the only exception, the only chestburster shown in the film is quickly killed by Apone) to grow to full size in around one day. Presumably the same is true for the queen.
BaconIsMyBFF