Newton Quote with Dynamic Rectangles

1. Overview

• Title: A Quote from Newton – displayed at the top of the scene.
• Main Visuals:
  1. A blue‑colored quote by Newton surrounded by a yellow rectangle.
  2. A large "Hello World" LaTeX text surrounded by a rounded‑corner rectangle.
• Purpose: Demonstrate grouping, surrounding rectangles, and coordinated animations (shifting and stretching) in a concise, visually appealing way.
• Total Duration: ~15 seconds (well under the 30‑second limit).

2. Visual Elements

Element	Type	Content / Parameters	Color	Size / Scale	Position	Notes
title	Title	"A Quote from Newton"	White (default)	default	Center‑top, slight upward offset (≈1.5 units)	Fade‑in over 1 s
quote	Text	"If I have seen further than others,
it is by standing upon the shoulders of giants."	Blue	0.75× original	Directly below title	Appear with a Write animation
quote_box	SurroundingRectangle	surrounds quote	Yellow	default thickness	tightly wraps quote with a small buffer (MED_LARGE_BUFF)	Fade‑in together with quote
hello	Tex	"Hello World"	White	1.5× original	Initially placed below the quote group	Appear with a Write animation
hello_box	SurroundingRectangle	surrounds hello	White (stroke)	corner radius 0.2	tightly wraps hello	Fade‑in together with hello
group_quote	VGroup	(quote_box, quote)	–	–	–	Arranged vertically, centered horizontally
group_hello	VGroup	(hello, hello_box)	–	–	–	Arranged vertically, centered horizontally
all_groups	VGroup	(group_quote, group_hello)	–	–	–	Arranged DOWN with default spacing, centered on screen

3. Animation Sequence & Timing

1. 0.0 s – 1.0 s: title fades in (opacity from 0 to 1).
2. 1.0 s – 2.5 s: quote is written (stroke‑by‑stroke) while quote_box fades in simultaneously.
3. 2.5 s – 3.5 s: hello is written and hello_box fades in together.
4. 3.5 s – 4.0 s: Short pause (hold the static composition).
5. 4.0 s – 6.0 s: Coordinated animation (all actions run in parallel):
   • group_quote's rectangle (quote_box) shifts up by 2 units and stretches horizontally to a width of 3 units.
   • hello_box stretches horizontally to a width of 8 units.
   • group_hello (both hello and its box) shifts down by 2 units.
   • Use a smooth ease‑out interpolation for natural motion.
6. 6.0 s – 7.0 s: Hold the final layout for emphasis.
7. 7.0 s – 8.0 s: Fade out all objects together (optional graceful exit).
8. 8.0 s – end: self.wait() equivalent – scene ends.

4. Camera & Perspective

• Camera: Fixed, orthographic view; no zoom or pan required.
• Framing: All objects remain within the default frame ([-7, 7] × [-4, 4]).
• Background: Plain dark (default) to ensure high contrast with blue, yellow, and white elements.

5. Transitions & Easing

• Use FadeIn for title and rectangles, Write for text elements.
• For the coordinated shift/stretch, apply run_time=2 seconds with rate_func=there_and_back not needed; a simple smooth (default) works best.
• Ensure that the stretch operations keep the rectangle centered on its original midpoint before the shift.

6. Additional Details & Corrections

• Grouping: The original code attempted to animate mobjects[0][0] (the rectangle) and mobjects[1][1] (the second rectangle). In the specification we explicitly name these as quote_box and hello_box for clarity.
• Ordering: The VGroup arrangement is performed after all individual objects are created, guaranteeing proper vertical stacking.
• Scaling: The quote is scaled to 0.75, and hello to 1.5 as in the original code.
• Buffer: MED_LARGE_BUFF is retained for the yellow rectangle around the quote to give a comfortable margin.
• Corner Radius: The rectangle around "Hello World" uses a corner radius of 0.2 for a softened look.

7. Summary of Expected Visual Flow

1. Title appears.
2. Newton’s quote emerges with a yellow border.
3. "Hello World" appears with a sleek rounded border.
4. The quote’s border lifts and narrows, while the "Hello World" border widens, and the whole "Hello World" block drops down, creating a dynamic rearrangement.
5. The scene holds the final composition briefly before fading out.

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All timings are approximate and can be fine‑tuned within the 15‑second window while staying under the 30‑second maximum.