Craft a captivating black and white logo illustration, suitable for both a logo design and inclusion in a children's coloring book, that revolves around the engaging theme of STEM education for kids. Incorporate key STEM elements such as eyeglasses, a lab coat, and a flask into the design. Envision a scene where a curious and enthusiastic child, dressed in a lab coat and wearing glasses, is joyfully engaging with a flask filled with bubbling concoctions. This illustration should inspire creativity, learning, and exploration within the fields of science, technology, engineering, and mathematics. Ensure that your design captures the essence of youthful discovery while maintaining a clear and inviting black and white aesthetic, encouraging children to color and reimagine the scene in their own unique way."