Сколько части торта съели Аян и Айжан вместе?

Overview

A short animation illustrating that Аян ate $\frac{1}{4}$ of a cake and Айжан ate $\frac{2}{4}=\frac{1}{2}$. The pieces are highlighted and then combined to show the total portion $\frac{3}{4}$ of the cake they ate together.

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Phases

#	Phase Name	Duration	Description
1	Intro	~2s	Title fades in, whole cake appears centered on screen.
2	Аян ест $\frac{1}{4}$	~3s	A slice representing $\frac{1}{4}$ is highlighted in a distinct color and slides out to indicate Аян’s portion.
3	Айжан ест $\frac{2}{4}$	~3s	Two adjacent slices (together $\frac{2}{4}$) are highlighted in another color and slide out to indicate Айжан’s portion.
4	Суммирование	~2s	The highlighted slices move back together, forming a combined highlighted region of three quarters of the cake.
5	Outro	~2s	The combined region stays, the result $\frac{3}{4}$ appears as a fraction overlay, then everything fades out.

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Layout

┌───────────────────────────────────────┐
│               TOP AREA                 │
│   "Сколько части торта они съели?"      │
├───────────────────────┬───────────────┤
│                       │               │
│        LEFT AREA      │   RIGHT AREA │
│   (main cake graphic) │   (optional  │
│                       │   small note)│
├───────────────────────┴───────────────┤
│               BOTTOM AREA               │
│   Fraction result "\(\frac{3}{4}\)"   │
└───────────────────────────────────────┘

Area Descriptions

Area	Content	Notes
Top	Title text "Сколько части торта они съели?"	Fades in during Intro, stays visible throughout
Left	Central cake illustration (circle with four equal slices)	Primary visual; slices are colored dynamically
Right	Small explanatory note (e.g., "Аян — 1/4, Айжан — 2/4")	Appears in Phase 2 and 3, fades out afterwards
Bottom	Result fraction $\frac{3}{4}$ displayed prominently	Appears in Outro phase

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Notes

• Use a simple circular cake divided into four equal sectors for clarity.
• Colors: Ayan’s slice – light blue; Aizhan’s slices – light green; combined region – blended teal.
• All transitions should be smooth (fade or slide) and keep total runtime under 12 seconds.
• No textual narration is required; visual cues convey the entire story.
• The scene must be implemented as a single Manim Scene class.