Neon Wedge Rectangle

Overview

A 3D animation on a dark‑gray background shows a glowing neon circle divided into 16 equal pie‑shaped wedges. The wedges peel away from the center, slide outward, and re‑assemble into two interlocking rows that form a perfect rectangle whose height is $r$ and length is $\pi r$. The visual emphasizes the geometric relationship between a circle’s radius and its circumference.

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Phases

#	Phase Name	Duration	Description
1	Intro	~3s	Dark‑gray background fades in. A thin neon outline of a circle appears, then a glowing neon circle expands to full size.
2	Slice	~4s	A radial grid animates, cutting the circle into 16 equal wedges. Each wedge glows brighter momentarily as the cut passes.
3	Peel	~5s	The 16 wedges rotate slightly outward, translating away from the center while maintaining their orientation, creating a “peeling” effect.
4	Rearrange	~5s	The wedges glide along smooth arcs to two parallel rows (8 wedges per row) that interlock, forming a rectangle. Motion is eased for a fluid look.
5	Label & Highlight	~2s	The completed rectangle is highlighted; a thin neon line marks the height and a longer neon line marks the length. The symbols $r$ and $\pi r$ appear as small glowing labels next to the respective sides.
6	Outro	~2s	The whole rectangle slowly rotates 15° for a 3‑D perspective, then fades out, leaving only the dark background.

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Layout

┌─────────────────────────────────────────────┐
│                 FULL‑SCREEN VIEW            │
│                                             │
│            (3‑D scene occupies whole)       │
│                                             │
│   Bottom area: small neon labels for r, πr  │
└─────────────────────────────────────────────┘

Area Descriptions

Area	Content	Notes
Full‑Screen View	3‑D neon circle, wedges, and final rectangle	Primary visual; camera rotates slightly in the outro
Bottom	Labels "$r$" and "$\pi r$" placed adjacent to the rectangle’s sides	Appear in Phase 5, fade out with the scene

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Notes

• Background color: dark gray (e.g., #2B2B2B). All objects use a neon cyan/glow material.
• Camera: orthographic view for the circle, switching to a slight perspective during the rearrange and outro phases to enhance depth.
• Transitions: use smooth ease_in_out for all movements; wedges should maintain a slight glow trail to emphasize motion.
• No textual narration; only the minimal labels $r$ and $\pi r$ are shown.
• The entire animation fits within ~21 seconds, well under the 30‑second guideline.