Aroks symbol. Radial patterns, Fibonacci, L-systems, and mandalas

Flowers in Circles: Calm, Order, and a Gentle Flow

How it works: Start with a circle and repeat a single shape — it forms petals. Add more circles — and you get a rosette. Slightly rotate each new layer — and the pattern “breathes,” like a flower touched by a breeze.
Where it appears: Stained glass, ceramic ornaments, facade rosettes, sea stars, and asters.
What it conveys: Circles imply wholeness and safety. Repetition brings order and predictability. A slight swirl suggests energy without chaos.

• Symmetry N: 8–12 for a star, 5 for a flower.
• Rings / rStep: More rings = richer rosette; small step = dense texture.
• Swirl: 0 = strict rings; slight negative = dynamic outward spin.
• sMin / sMax / γ: For “growth effect” increase sMax and set γ≈1.5–1.8.
• Jitter: 1–2 px gives enough “life”.

Sunflower Spiral: Equal Space, No Lines

How it works: Each new point is rotated a fixed angle from the previous one and gradually moves outward. If the angle is near the “sunflower angle” (~137°), the points naturally spread evenly.
Where it appears: Sunflowers, pinecones, pineapples — look closely, and you’ll see spirals in both directions.
What it conveys: These patterns express balance, growth, and gentle progression.

• Points: 800–1200 for a rich, granular center.
• Angle: 137–138° for balance; shift to create visual “tracks”.
• Scale (c): Controls outward movement.
• Sizes: Small sMin, medium sMax, γ≈1.2 creates natural growth.

Recipe-Based Patterns: Growing Branches and Snowflakes

How it works: Imagine a short instruction: “step forward, turn, occasionally branch”. Repeat a few times and it builds branches, snowflakes, or snake-like lines.
Where it appears: Tree branches, leaf veins, lacework, fractal ornaments.
What it conveys: Patterns of structure and self-similarity — the small resembles the whole.

• Simple mode: Choose a preset (plant/snowflake/”dragon”) and adjust step count, angle, length.
• Rendering: Line = clean; Dots = more decorative.

Mandalas: One Wedge, Many Reflections

How it works: Draw a petal in a wedge, then replicate and reflect it around the circle. You can use rose-like waves or recipe-grown L-shapes as petals.
Where it appears: Stained glass, carpets, architectural rosettes.
What it conveys: High symmetry signals focus and ceremony. Mirroring adds clarity and confidence.

• K (repeats around): 8–12 = classic rosette; 6 = calmer star.
• Mirror: Turn on if the pattern feels scattered.
• Rose: Adjust “m” and radius for fluid petals.
• L-petal: Increase steps for intricate vein-like growth.

Colors and Gradients: Keep It Clear

We offer four built-in gradients: green (natural), blue (trust), black-orange (bold), and blue-cyan (tech). Apply one to all or alternate by reordering with drag-and-drop.

• Large shapes suit gradients; small dots work best with solid color.
• Bright background = monochrome elements. Calm background = use gradients.
• Transparent PNG allows layering over images or backgrounds without edges.

Quick Form Psychology

• Circle — wholeness and safe space.
• Spiral — growth and outward journey.
• Radial symmetry — balance and order.
• Mirror — focus and dignity.
• Small asymmetry (1–2 px jitter) — warmth; too much — chaos.
• Left-to-right or upward flow often reads as “growth” (in left-to-right reading cultures).

Preset Ideas

“Flower from Depth” (poster): N=8, Rings=14, rStep~22, r0~28, swirl ~-0.7; sMin~10, sMax~180, γ~1.7; shape = ring (thickness 12–14); blue-cyan gradient; PNG with transparency.
“Sunflower Plate” (header): 900–1200 points, angle ~137.5°, c~7, n₀~30; sMin~6, sMax~20, γ~1.2, jitter 1px; shape = circle, light background.
“Snowy Line” (winter cover): Koch flake: 3–4 steps, 90° angle, step 10; white line on dark blue. Softer option — dots instead of line.
“Formal Rosette” (poster): Mandala Rose+Mirror: K=12, m=6, radius~260, density~220; shape = square or ring; alternate gradients by drag-ordering.

Smart Tips to Save Time

• Adjust one setting at a time — it’s easier to spot the effect.
• If things get messy, add symmetry or enable mirroring.
• Save both formats: SVG for editing, PNG (optionally transparent) for display use.
• Randomizer makes solid drafts — tweak 2–3 right away for a series.

Aroks symbol

Logo idea. The Aroks spiral is the journey of an idea from the center to scale. The circle stands for reliability; the spiral for development; the varying diameters mark the stages of growth. We connect technology and marketing into one system so that businesses grow steadily across European markets.

• Mode: Radial Rings.
• Symmetry N: 1; Rings: 14; rStep: 22; r0: 28.
• Swirl: −0.71; Angle: 212 (suggests “growth” up and right).
• Sizes: s0=2, sMin=10, sMax=180, γ=1.7; shape = circle; no jitter.

Colors: Base — dark gray (#333) on white. Accents — blue-cyan gradient, or black-orange for bold campaigns. Contrast rule: dark background = light dots; bright background = solid tones.