The phrase "a vigorous imagination" is correct and usable in written English.
It can be used to describe someone who has a lively and creative way of thinking, often producing innovative ideas or concepts.
Example: "The artist is known for her vibrant paintings, which reflect her vigorous imagination and unique perspective on the world."
Alternatives: "a lively imagination" or "a dynamic imagination".
Children, of course, have the most vigorous imaginations and curiosity of all evolved creatures, so they thirst to talk about ideas of "How did we get here?" Besides the textbooks by Futuyma (2006) and Volpe (1985) and many others, excellent film series exist that explore theories of human evolution.
The show, on Saturday night in the Central Park Conservatory Garden, was a vigorous display of Mr. Lauren's imagination and wit, from the veiled bowlers and snow-white riding boots tipped in black to the long ruffled dresses in pastel garden prints, and the only location that might have better served his purposes than the park would have been Fifth Avenue itself.
Though born out of a vigorous anti-corruption movement that captured the people's imagination, the party's identity is forged around the notions of accountability and governance, something unprecedented in India's parties.
While Warner Bros. has been waging a vigorous Oscar campaign on behalf of the entire film, Ledger's transcendent performance has caught the public's imagination, leading the film's various members to answer questions about the young actor.
Geffen had about him a vigorous energy.
The Portnoys promptly began a vigorous defense.
Kavadh I proved himself a vigorous ruler.
A vigorous law enforcement response is essential.
A vigorous back and forth ensued.
But counterforces were at work: a vigorous upsurge of interest, influenced by European thinkers, in the education and nurture of children; the dying-out of the old Puritanism; and the accumulation of enough national history to stimulate the imagination.
