Mathematical Visualization Infographic Prompt

Please create a mathematical visualization infographic about "{argument name="topic" default="mathematical concepts/knowledge points"}" to help readers intuitively understand: what it is, why it holds true, the geometric/structural intuition, and how it behaves in different scenarios. The image should look like a high-quality math lecture handout + hand-drawn educational poster—elegant, clear, and informative without being cluttered. Visual style: {argument name="layout" default="vertical or horizontal"}, clean light-colored paper background, dark blue headings, black/dark gray body lines, accented with a few elegant blue, turquoise, gold, and red colors. Use rounded-corner cards, thin borders, numbered labels, hand-drawn arrows, partial magnification boxes, and summary columns. The overall design should be aesthetic, balanced, and academic, allowing one to immediately grasp the "structure" and "reasoning" behind the concept.