Spirograph

Create mesmerizing mathematical art! Draw hypotrochoid and epitrochoid curves with animated spirograph patterns β€” pick presets or randomize for infinite designs.

How to Play:
Watch as the spirograph pen traces stunning geometric curves on the canvas. Each completed pattern earns you points based on its complexity!

Starting:
1. Click or tap anywhere to begin drawing your first pattern
2. A pen animates along the spirograph curve in real time
3. When the pattern completes, your score is updated

Controls:
- Space / Click canvas: Draw the next random pattern
- β—€ Prev / Next β–Ά buttons: Cycle through 8 named presets (Star, Flower, Mandala, Rose…)
- 🎲 Random button (or R key): Generate a random spirograph
- ⇄ Toggle button (or H key): Switch between Hypo and Epi modes for different curve styles
- βœ• Clear button (or C key): Wipe the canvas and reset score

Curve Modes:
- Hypo (purple): Rolling circle inside the fixed ring β€” classic Spirograph toy patterns
- Epi (orange): Rolling circle outside the fixed ring β€” loop and petal shapes

Scoring:
- Each completed pattern scores points based on curve complexity
- Higher difficulty multiplies your score (Easy Γ—1, Medium Γ—2, Hard Γ—3)
- More intricate ratios between wheel sizes = higher base score

Tips:
- Watch the guide circles (transparent) to see how the pen moves
- Try all 8 presets to discover your favourite pattern
- Randomize on Hard difficulty for maximum points!

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