Mathematical Constants Sculpted in Geometric Precision

2x2 grid 

<instructions: input = mathematics
[AI: select the 4 most visually / conceptually rich mathematical constants. For each constant you select, analyze the specific geometric forms, curves, or patterns that define or visually prove that constant — the shapes that are inseparable from its mathematical identity. Use those discovered geometric forms as the exclusive physical construction material for the constant's symbol. The symbol must be built from the geometry it describes.]
$ typescene = a 3D sculptural rendering of the mathematical constant's symbol, letterform built entirely from physical instantiations of the geometric forms that define it.
Function Draw($ typescene){
MEDIUM: Physical geometric solids — machined metal, cast glass, or carved stone — each shaped as a constituent geometric form.
SURFACE: The constant's canonical symbol as letterform.
IMPRESSION: Legible as a symbol from distance, dissolves into pure geometry at macro scale.
- π: letterform assembled from circles and arcs of every scale, stacked and packed
- φ: assembled from logarithmic spirals and golden rectangles in physical form
- e: assembled from compound curve segments and natural growth spiral sections
- AI discovers what geometry belongs to each constant — do not be told
- Background: precision engineering black void, single directional light
- Materials: brushed aluminum, optically clear cast acrylic, polished brass
Output: one image, 8k, product photography, Octane render, precision engineering aesthetic}</instructions>