I.
The man
He spent twenty years on one idea.
Astronomers and sailors of his time were drowning in multiplication. Napier, a Scottish laird, spent two decades by candlelight building tables that turned it into simple addition. Everything we know about compounding grew from there.
How one idea compounded
From a candlelit desk to your growth chart
-
The 1590s
The problem
Astronomers and sailors lose weeks multiplying huge numbers by hand.
-
1594 – 1614
Twenty years of tables
Alone at Merchiston, Napier works out every value with a quill.
-
1614
Logarithms
His book turns multiplying into adding. Hard maths becomes easy.
-
1683
Compound interest
Bernoulli uses the same idea to see how money grows on money.
-
Today
Compounding growth
Every growth curve is read on Napier's scale. Including yours.
II.
The discovery
He made huge numbers simple.
He gave every number a step on a ruler. To multiply two numbers, you just add their steps.
Each step is ten times bigger.
The logarithmic scale
20
doublings. That's all it takes to go from your first user to your millionth.
III.
The power of compounding
Growth is a rate. Rates compound.
Plan it Napier's way. Get the hockey stick.
Napier's view
LogarithmicThe result
LinearIV.
What we do
Four levers. We raise each one.
- iAcquisition
Channels that get cheaper as you scale.
- iiActivation
Get new users to value, fast.
- iiiRetention
Keep them, so every cohort stacks on the last.
- ivMonetization
Pricing and packaging that grow with your customers.
V.
The Napier method
Our whole engagement fits in one formula. We work on every term.
- B
Step 01 · Weeks 1–2
Measure the base
An audit of your funnel, cohorts and unit economics.
- r
Step 02 · Weeks 3–4
Find the rate
Find the one rate that moves everything else.
- +
Step 03 · Ongoing
Run the experiments
Weekly tests across channels, product and pricing.
- t
Step 04 · Quarterly
Let time work
Lock in gains as systems, not campaigns.
The best time to start compounding was 1614
The second best time
is this quarter.
Start with a two-week growth audit.
Book a growth audit