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Simple Equations Behind Interaction Design
1. Attention = Motion + Meaning
If something moves, we look at it.
But if it moves without reason, we get confused.
That’s the first design equation:
Attention = Motion + Meaning
A button that wiggles should say, “Hey, I’m clickable.”
A loading bar that fills should say, “I’m working on it.”
Every motion must carry a message — otherwise it’s just noise.
Design advice: When you animate, don’t decorate. Communicate. Motion is language.
2. Trust = Clarity ÷ Surprise
People trust what they understand.
But they also enjoy being surprised — just not too much.
That’s why we say:
Trust = Clarity ÷ Surprise
If clarity is low (the system hides what it’s doing), even a tiny surprise feels scary.
If clarity is high (users understand the logic), you can add a dash of magic.
Think of it like a playground slide — it’s fun because you know how it ends.
Design advice: Before you delight, explain. Every pleasant surprise rests on predictable ground.
3. Control = Options – Confusion
More options don’t always mean more control.
In fact, every new choice adds a little confusion.
So the next rule is:
Control = Options – Confusion
The best interfaces make users feel powerful without making them think too hard.
You don’t need a thousand knobs when one clear action does the job.
Design advice: Give users a clear path, then let them explore — never the other way around.
4. Satisfaction = Effort ÷ Reward
People judge experiences like they judge snacks — is the taste worth the effort?
That’s why we measure:
Satisfaction = Effort ÷ Reward
If something takes too much time, even a good result feels annoying.
But if it’s too easy, it feels shallow. The best designs strike balance: a small challenge, followed by a meaningful outcome.
Think of a puzzle game — it’s fun because you worked for it.
Design advice: Let users earn their success. Make every click feel like progress, not labor.
5. Memory = Emotion × Repetition
People forget features but remember how they felt.
That’s why habit-forming design isn’t about stickiness — it’s about emotional rhythm.
So:
Memory = Emotion × Repetition
If something makes you feel good once, you smile.
If it makes you feel good every time, you come back.
Designers who understand this don’t design screens — they design moments that echo.
Design advice: Consistency isn’t boring. It’s trust rehearsed over time.
Putting It All Together
Interaction design looks complex, but it’s really a set of emotional equations:
Equation What It Balances
Attention = Motion + Meaning How people notice things
Trust = Clarity ÷ Surprise How people feel safe exploring
Control = Options – Confusion How people make confident choices
Satisfaction = Effort ÷ Reward How people feel progress
Memory = Emotion × Repetition How people remember you
If you design with these in mind, your interface starts to behave like a good friend: clear, honest, and fun to talk to.

In Short
Design isn’t decoration. It’s mathematics made emotional.
Each small equation you balance — between what users want and what systems can do — turns interaction into relationship.
And that’s the simplest truth of all:
Every click tells a story. Every reaction solves an equation.