To conjure up
Examples
Orchestras have often been used to conjure up the natural world: Swans, sharks, trout, but not, as far as I know, the often maligned jellyfish.
It is foolish to conjure up woe where none exists.
One trick, known as the journey method or 'memory palace,' is to conjure up a familiar space in the mind's eye, and then populate it with images of whatever it is you want to remember.
The Neanderthal probably thought the Cro-Magnon man had merely an improved line. A little more advanced ability to conjure up symbols and shape flint. From your description, this thing is more radical than a mere improvement.
Perhaps he'd want me to conjure up an illusion. That might be fun: there was bound to be a way of misinterpreting his request and upsetting him†. †One magician demanded I show him an image of the love of his life. I rustled up a mirror.