The Geometry of Growth
Like Duolingo, but for The Geometry of Growth. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
For the part of you with thirty open tabs that never became anything.
Free forever · No credit card · iPhone & Android
Key ideas in The Geometry of Growth
- Exponential growth uses a constant multiplier rather than a fixed addition
- The 'knee' is a visual artifact of the scale used on the y-axis
- The growth factor is applied repeatedly to the previous total
- The growth rate remains constant even when the visual curve looks steeper
- Distinguishing between additive and multiplicative growth patterns
- Understanding that the 'knee' is a perspective shift, not a mathematical shift
- Small changes in the percentage rate compound into massive gaps over time
- Feedback loops occur when the output of one cycle becomes the input for the next
- Exponential divergence accelerates as the time horizon extends
- Reinvestment is the specific mechanism that drives financial exponential growth
- Identifying the components of a feedback loop in growth
- Linear thinking relies on finding a common difference to add
- Predicting the impact of small rate changes over time
- Exponential thinking relies on finding a common ratio to multiply
- Comparing the predictive logic of linear vs exponential models
- The Rule of 70 estimates doubling time by dividing 70 by the percentage growth rate
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives The Geometry of Growth the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
If a group of bunnies grows exponentially, how are the new bunnies calculated each month?
Get it right to open this lesson and 11 more in the app.
Where The Geometry of Growth takes you
Move beyond simple addition to master the math of change. Learn to spot exponential patterns, use logarithms to manage scale, and predict how systems evolve over time.
- 1
Seeing the Curve
- Spotting Exponential Change
- The Power of Doubling and Halving
- 2
Mastering the Scale
- Logarithms as a Sense of Scale
- Navigating Compounding and Decay
2 sections · 4 units · 12 levels. Built to play, not to enroll.
You pick the voice
The Geometry of Growth is taught in the Explain Like I'm 5 style: no big words. promise.. Want a different feel? In the app you can spin up the same topic in any of Tomo's teaching styles. Same facts, totally different vibe.
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Start The Geometry of Growth today.
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