Zen of Mathematics: A Meditative Garden of Proof

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Input A is a mathematician's name (Euler, Gauss, Ramanujan, Nash, Noether, etc.) or a famous theorem (Pythagorean, Fermat's Last, Four Color, etc.).
Analyze: Their most elegant proof, the visual/geometric insight behind it, their appearance, their workspace aesthetic, and 3-5 contemporary mathematicians they influenced or competed with.
Goal: A miniature zen garden where the proof is "grown" as a physical landscape with geometric patterns.
Rules:
- Center: The mathematician figurine sitting in meditation pose, contemplating the garden
    Period-accurate clothing and appearance
    Characteristic expression (intense, serene, troubled based on their personality)
    Personal items: glasses, pipe, specific era details
- Garden layout: Raked sand/gravel forming the mathematical proof visually
    Geometric patterns raked into sand representing equations
    Stones placed as variables or key proof elements
    Bridges connecting logical steps
    Miniature trees at theorem conclusions
    Water features showing mathematical flow/continuity
- Surrounding the garden: 3-5 smaller figurines of contemporary mathematicians
    Each holding a scroll with their related contribution
    Some collaborative, some competitive
    Name plaques with their key theorems
- Include: 
    The actual equations carved into stone tablets around perimeter
    "Before" and "After" the proof - showing what was unknown/known
    Failed attempt area (crossed-out sand patterns)
    The "elegant insight" highlighted with golden sand or special lighting
- Background elements:
    Chalkboard showing the formal proof in notation
    Stack of notebooks with crossed-out attempts
    Period-accurate mathematical instruments (compass, straightedge, abacus, slide rule)
- Materials: Actual sand/gravel, polished stones, miniature zen garden aesthetic, brass equation plaques
- Lighting: Soft contemplative overhead light with dramatic shadows from geometric elements
- Style: Combines Eastern zen aesthetic with Western mathematical rigor, peaceful but intellectually intense
Output: ONE image, 1:1 aspect ratio, philosophical mathematics meets landscape art, meditative and beautiful
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