Create an icon of a stylized brain with interconnected nodes and circuits. The brain should have smooth, rounded lines and an abstract shape, incorporating evenly spaced nodes and geometric circuit-like lines. Use a gradient color scheme transitioning from deep blue to light blue or teal, or shades of a single color. The design should be proportionate for a square or circular icon format. The icon must subtly exude a minimalist letter "G" – the letter should be aesthetically emerge from the image,