φ FIBONACCI SEQUENCE × GOLDEN RATIO
Golden Ratio.
Distinct identity.
A study in proportion. A signature with character.
Logos and identities, considered from every angle.
↓ SCROLL TO DISCOVER A DIFFERENT PERSPECTIVE
1.6180339887…
01 / FEEL SOMETHING
One number.
Endless possibility.
1, 1, 2, 3, 5, 8, 13, 21…
Each number is the sum of the two before it.
A simple rule. An expanding visual language.
Optional discovery. Curiosity encouraged.
02 / FIND YOUR FORM
A little structure.
A natural balance.
One whole. Two related parts.
The golden division is approximately 61.8% to 38.2%.
Explore the proportion. Find the point of balance.
Move toward 61.8%. Watch the two parts find their relationship.
03 / BUILD THE WORLD
From proportion.
To personality.
A framework becomes a visual world.
Type, spacing, a mark, a rhythm.
The geometry is a starting point. The character is yours.
An interactive concept. Your project starts with its own idea.
04 / BECOME WHAT’S NEXT
A clear system.
Your own character.
Thoughtful structure makes room for individuality.
A first logo, a complete identity, or a new chapter.
Let’s find the proportion that feels like you.
Fibonacci sequence.
Golden Ratio.
A simple rule becomes a sequence. A sequence reveals a proportion. In design, that proportion offers a useful way to explore the relationship between the parts and the whole.
THE CONSTANT
φ = 1 + √52≈ 1.6180339887
THE RECURRING RULE
Fn = Fn−1 + Fn−2
Each term adds the previous two.- 1
- 1
- 2
- 3
- 5
- 8
- 13
- 21
- 34
- 55
- 89
- 144
Begin with addition.
Start with 1 and 1. Add the two previous terms to find the next: 2, then 3, then 5. An expanding sequence follows one consistent rule.
Watch the ratios settle.
Divide a term by the one before it. As the sequence grows, these ratios approach φ, alternating above and below it.
89 / 55 ≈ 1.61818144 / 89 ≈ 1.61798Compose with intention.
A division of approximately 61.8% and 38.2% can guide hierarchy, spacing, and emphasis. Readability, context, and judgment still determine whether a design works.
TRY THE RELATIONSHIP
Two areas.
One considered whole.
Move the divider. Notice how the balance changes as one area grows and the other recedes.
A 62% / 38% starting division. Compare it with the Golden Ratio.
A proportional framework for exploration. The final composition is a design decision.
CASE STUDIES
LOGOS. VARIATIONS. COMPLETE IDENTITIES.Logo & identity
case studies.
View all case studies ↗CASE STUDY / IDENTITY PROPOSAL
Rezenkia Lee
A botanical identity expressed through a wordmark, monogram, badge, and extended signature.
Primary wordmark
Rezenkia Lee: a proposal identity study. DOC N.I.L.: the Signal System, from signature to applications.
THE BIGGER PICTURE
Independent minds.
A connected world.
We’re the brand identity studio in the DOC N.I.L. family. Our focus is the idea, the mark, and the world around it.
When your ambition goes further, our sister companies bring websites, production, talent, advertising, and media buying into the same conversation. One connected team, from first idea to launch.
Meet DOC N.I.L. ↗YOUR NEXT CHAPTER
Ready to look
like yourself?
Take a look around.
Find the starting point that feels right.