Rolling Wheel Traces a Cycloid Curve
Cycloid Animation
Overview
A short vertical‑format animation showing the path traced by a fixed point on a rolling circle, revealing the cycloid curve. The viewer sees the wheel rolling, the red point leaving a yellow trail, and a concise explanation that the curve is called a cycloid.
Phases
| # | Phase Name | Duration | Description |
|---|---|---|---|
| 1 | Title & Intro | ~3 s | Title "Bu noktanın yolu sence nasıl olur?" fades in from the top, subtitle "Çember dönerken kırmızı noktayı takip et!" appears below, then a short pause. |
| 2 | Ground Line | ~1 s | A gray ground line is drawn across the bottom of the frame. |
| 3 | Wheel & Point Appear | ~2 s | The blue wheel, white spoke, and red point appear together with a label "Noktanın izi çiziliyor..." at the bottom. |
| 4 | Rolling Motion | ~8 s | The wheel rolls rightward while the red point traces a smooth yellow cycloid trail; the label remains visible. |
| 5 | Reveal Name | ~2 s | The label fades out, then the text "Bu eğriye SİKLOİD denir." slides in from the bottom, followed by a brief description "Bir çember yuvarlanırken üzerindeki noktanın çizdiği yol." |
| 6 | Call‑to‑Action | ~4 s | The description fades, the main text transforms into "Bunu biliyor muydun? Yorumlara yaz 👇", and the handle "@baranhocailematematik" appears near the bottom. |
| 7 | Outro Pause | ~2 s | Final frame holds for a moment before ending. |
Layout
┌─────────────────────────────────────────────┐
│ TOP AREA │
│ Title & Subtitle (centered) │
├───────────────────────┬─────────────────────┤
│ │ │
│ MAIN VISUAL │ (empty – not used)│
│ (wheel, point, trail│ │
│ & ground) │ │
├───────────────────────┴─────────────────────┤
│ BOTTOM AREA │
│ Labels / explanations / CTA (centered) │
└─────────────────────────────────────────────┘
Area Descriptions
| Area | Content | Notes |
|---|---|---|
| Top | Title and subtitle text, centered near the top edge. | Fade‑in at Phase 1, remain until Phase 2 ends. |
| Main Visual | Blue wheel, white spoke, red point, yellow trail, gray ground line. | Primary focus; wheel and point are always‑redrawn to follow the rolling motion. |
| Bottom | Dynamic label "Noktanın izi çiziliyor...", then cycloid name, short description, and final CTA with handle. | Text appears/fades according to phases; CTA transforms from previous text. |
Notes
- All animations are linear unless otherwise noted; the rolling motion uses a linear rate to keep the speed constant.
- The wheel radius, ground level, and start position follow the original parameters (radius ≈ 1.25, ground ≈ ‑3.2, start ≈ ‑4.2).
- The cycloid trail is drawn with a smooth VMobject that updates each frame, using about 120 points for visual smoothness.
- No additional text is shown beyond what is specified; all information is conveyed visually.
- The entire scene fits within a vertical 9 × 16 frame (portrait orientation) as in the original code.
Créé par
Description
A vertical animation shows a blue wheel rolling across a gray ground line while a red point on its rim leaves a yellow trail, revealing the cycloid path. Labels introduce the tracing, name the curve as a cycloid, and end with a call to comment, featuring the creator's handle.
Date de création
May 31, 2026, 07:49 PM
Durée
0:25
Tags
cycloidgeometryrolling-wheel