Scientists, Mathematicians, and Engineers are often very creative people working in disciplines that have an inherent creative imaginative component. A new mathematical idea is something that exists only in the mind of it’s creator until it is written down, expounded, proven and elucidated. Engineers tinker with everything from chemical structures and processes to electronic devices, to vast and complex urban infrastructures. Scientists try to imagine what is just beyond the boundaries of experimentally demonstrable human knowledge. Then they envision and build ways and methods to push those boundaries and discover new phenomena and physical laws.
I have often marveled at how many STEM students and professionals choose Music as their creative Artistic outlet. There are some distinct abstract commonalities between the complex ordered structures that make music intelligible and the complex bits and pieces that an Engineer tinkers into place.