What the sketch is doing (without the jargon wall)
Each run begins at the base point, draws one segment, then walks outward. At every tip the code spawns as many new segments as you chose, aims them across the angle spread you set, shortens them by your scale factor, and repeats until depth runs out. Palette modes only change how strokes pick color along the way. Nothing leaves the tab.
We recommend keeping depth at six or below while you learn the pairing between branch count and spread.
If you already use the Fractal Dendrite Generator for softer silhouettes, think of this page as the obsessive tuning bench where each joint exposes its numbers.
Parameter cheat sheet in plain language
- Recursion depth
- How many generations of branching fire after the root. Higher values stack more detail and more CPU work.
- Branches per joint
- How many child lines each parent tip sprouts. Two feels sparse, five fills the sky fast.
- Angle spread
- How wide the fan opens. Tight spreads look like narrow crystals, wide spreads resemble umbrellas.
- Child length scale
- Shrink factor for each next segment. Push toward 0.8 for gradual taper, drop toward 0.35 for abrupt twigs.
When this page helps, and when to bail
Teachers who want a five-minute demo of self-similar branching get a clean win. Students who need exact McWorter measure-theoretic statements should return to papers or computer algebra systems.
Motion replay is a teaching aid, not a video editor. Export PNG when you need a slide asset.
The honest ceiling on depth sliders
Your device still has finite pixels and a finite budget for line segments. Depth nine with five branches per joint is mathematically valid yet visually muddy because strokes overlap into soup. If the canvas looks noisy, lower depth before you touch color modes.
| Combo signal | What usually helps |
|---|---|
| Filled disk, no breathing room | Widen angle spread slightly or drop one branch per joint. |
| Thin hair with no mid-tier structure | Raise child length scale toward 0.65 and add one depth level. |
| Colors look muddy | Switch from thermal to depth ink until structure reads clearly. |
Quick dendrite facts you were not looking for
McWorter dendrites show up in discussions about plane topology because they model how connected sets snake without crossing themselves. Artists borrow the shape for lightning, neurons, and river deltas even when the math story differs.
Grammar-first explorers should still open the L-System Visualizer when they want axioms and production strings instead of numeric sliders.
In March 2024 a small study group at a community college timed themselves: five participants needed roughly twelve minutes each to find a pleasing poster frame using only depth and spread, while branch count took another six minutes once they understood the exponential fan. Your mileage varies, yet the lesson stuck. Small integer changes upstream create huge visual shifts downstream.
We treat crystalline mode as the guilty pleasure for neon slides. Radial symmetry reads well on projectors because every spoke shares the same rhythm, which hides minor projector blur better than thin organic jitter.
When someone asks whether dendrites belong in serious analysis courses, our answer is blunt. Visual intuition belongs beside proof. This page supplies the intuition layer. Pair the PNG with your own lemmas if grades are on the line.
Last reviewed March 2026. We adjust copy when feedback highlights confusing controls.
