Absolute Value Explained with Persian Number Line

Animation Specification for Absolute Value Lesson (Persian)

General Overview

• Scene: Single Manim Scene (e.g., AbsoluteValueLesson).
• Purpose: Visually introduce the concept of absolute value as "distance from zero" using a number line, concrete examples, and a short philosophical wrap‑up, all presented in Persian.
• Style: Clean, modern colors, smooth transitions (FadeIn, Write, GrowArrow, ShowCreation, etc.). Use a Persian‑compatible font (e.g., Vazir or system default that supports Arabic script). All text objects have an opaque contrasting background when displayed over other objects.
• Total Duration: ~28 seconds (well under the 30 s limit).

Visual Elements & Colors

Element	Manim Object	Color	Size / Scale	Additional Details
Title text	Tex/MathTex (Persian)	White on semi‑transparent dark background	0.9	FadeIn → hold → FadeOut.
Example expression "	-5	=	+5	= 5"
Number line	NumberLine from -6 to 6	Light gray for line, black for ticks	default length ~12 units	Arrow tips at both ends, tick labels at -5, -3, 0, 3, 5 (Persian numerals optional).
Red dot at -5	Dot	Red (#E63946)	radius 0.12	Label "-5" (Persian numeral) as Tex above the dot, white text on dark background.
Green dot at +5	Dot	Green (#2A9D8F)	radius 0.12	Label "+5" above the dot, same style as above.
Yellow distance arrows	Arrow (thick)	Yellow (#F4A261)	thickness 6	One arrow from -5 to 0, another from +5 to 0, both pointing toward 0.
Equation "	x	= 3"	MathTex	White
Blue dots at ±3	Dot	Blue (#457B9D)	radius 0.1	Labels "3" and "-3" above each dot, same text style as other labels.
Answer text	Tex	White on dark background	0.6	"جواب: x = 3 یا x = -3" placed below the number line.
Warning text	Tex	Red (#E63946)	0.6	"اگر
Philosophical message	Tex with mixed colors	"قدر مطلق" in Yellow (#F4A261), rest in white	0.7	"قدر مطلق = فقط اندازه‌گیری فاصله، بدون قضاوت علامت!" centered, fades in last.

Animation Sequence & Timing

1. Title (0 s – 3 s)
   • FadeIn the title "قدر مطلق یعنی فاصله از صفر" (0.8 s).
   • Hold for 1.4 s.
   • FadeOut (0.8 s).
2. Example Expression (3 s – 6 s)
   • Write the MathTex "|-5| = |+5| = 5" with a scaling effect (start at 0.5×, grow to 1×) over 1.2 s.
   • Hold for 1.0 s.
   • FadeOut (0.8 s).
3. Number Line Introduction (6 s – 9 s)
   • ShowCreation of the number line (including arrows) over 1.2 s.
   • FadeIn tick labels simultaneously.
   • Hold for 0.6 s.
4. Place Dots & Labels (9 s – 12 s)
   • FadeIn red dot at -5 (0.4 s) and its label "-5" (0.4 s).
   • FadeIn green dot at +5 (0.4 s) and its label "+5" (0.4 s).
   • Small pause (0.4 s).
5. Distance Arrows (12 s – 15 s)
   • GrowArrow from -5 to 0 (yellow, 0.8 s).
   • GrowArrow from +5 to 0 (yellow, 0.8 s) starting slightly after the first (0.2 s offset).
   • Hold for 0.4 s.
6. Equation "|x| = 3" (15 s – 17 s)
   • FadeIn the equation at the top (0.6 s).
   • Hold for 0.8 s.
7. Solution Dots (17 s – 20 s)
   • FadeIn blue dot at -3 with label "-3" (0.4 s).
   • FadeIn blue dot at +3 with label "3" (0.4 s) (offset 0.2 s).
   • Hold for 0.6 s.
8. Answer Text (20 s – 22 s)
   • FadeIn the answer line "جواب: x = 3 یا x = -3" (0.6 s).
   • Hold for 0.8 s.
9. Warning Text (22 s – 24 s)
   • FadeIn the red warning "اگر |x| = -2 → هیچ جوابی ندارد!" (0.6 s).
   • Hold for 0.8 s.
10. Philosophical Message (24 s – 27 s)
    • FadeIn the final message, with the phrase "قدر مطلق" colored yellow (0.8 s).
    • Hold for 0.6 s.
11. Final Fade Out (27 s – 28 s)
    • Simultaneously FadeOut all remaining objects (0.8 s).

Camera & Perspective

• Static camera, centered on the number line. No zoom or pan needed.
• All objects are placed within the default frame ([-7, 7] horizontally, [-4, 4] vertically) to keep everything visible.

Additional Notes

• Ensure every Persian text uses a font that supports Arabic script; set font="Vazir" (or fallback) in the Manim objects.
• All fade‑in/out durations are chosen to keep the total runtime under 30 seconds while giving the viewer enough time to read each Persian phrase.
• Colors are chosen for high contrast against the dark background (default black) and to match the requested palette (red, green, yellow, blue, teal).
• No extra textual explanations are displayed; all concepts are conveyed visually.
• The scene ends with a clean fade‑out, leaving no lingering objects.