Mathematical Visualization Infographic Prompt

Please create a mathematical visualization infographic about "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: 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.

Originele prompt

请创作一张关于「数学概念/知识点」的数学可视化信息图，目标是帮助读者直观理解：它是什么、为什么成立、几何/结构直觉是什么、在不同场景下如何表现。画面要像高质量数学讲义 + 手绘教育海报，优雅、清晰、信息丰富，但不要杂乱。

视觉风格：竖版或横版均可，干净的浅色纸张背景，深蓝标题，黑色/深灰正文线条，搭配少量优雅的蓝色、青绿色、金色、红色强调色。使用圆角卡片、细线边框、编号标签、手绘箭头、局部放大框和总结栏。整体要美观、平衡、有学术感，让人一眼看懂这个概念的“结构”和“为什么”。