The Hidden Geometry of Your World
Like Duolingo, but for The Hidden Geometry of Your World. 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 during early access · No credit card · iPhone & Android
Key ideas in The Hidden Geometry of Your World
- Always extend the path that currently has the lowest total time from the start
- Checking the shortest known connection first prevents missing a shortcut
- A small delay can make an alternative branch of the network suddenly faster
- The 'best' path depends on the relative cost of all connected options
- Systematic pathfinding
- Network sensitivity
- Calculate the new total time using the shortcut
- Why a single change in a network can invalidate the entire current best route
- Compare the new total to the previously recorded 'best' time
- Update the route map only if the new total is lower
- The sequence of updating path values as new information is discovered
- The person cutting must create two shares they value exactly the same.
- Fairness is based on what each individual person values most.
- The person not cutting gets to pick their favorite piece first.
- Identical slices can have different values if the contents aren't uniform.
- Applying the 'divider-chooser' method to ensure fairness
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 Hidden Geometry of Your World 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.
You're mapping out a route. If you have three different paths started, which one should you explore further first?
Get it right to open this lesson and 25 more in the app.
Where The Hidden Geometry of Your World takes you
Move beyond basic shapes to see the invisible patterns that govern everything from city maps to nature's growth. Learn to predict outcomes and optimize your surroundings using the logic of space and connection.
- 1
Solve Real-World Puzzles
- The Shortest Path: Navigating Networks
- Fair Shares: Dividing Resources Without Conflict
- Packing Light: Fitting Shapes into Tight Spaces
- The Logic of Luck: Making Better Bets
- 2
Notice the Patterns Around You
- Nature’s Spiral: Why Plants Grow the Way They Do
- Self-Similarity: Patterns That Repeat at Every Scale
- The Golden Ratio: Finding Balance in Art and Design
- Symmetry: The Secret Language of Reflection
- Visualizing Change: Reading the Curves of Growth
- Data Distortions: How Graphs Can Mislead the Eye
- 3
Master the Rules of the Game
- The Power of Variables: Thinking in Relationships
- Dimensions Beyond Sight: Exploring 3D and Higher
- The Infinite Loop: Understanding Limits and Totals
3 sections · 13 units · 26 levels. Built to play, not to enroll.
You pick the voice
The Hidden Geometry of Your World is taught in the The Bestie style: your friend who just gets it. 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 Hidden Geometry of Your World today.
Download Tomo, search The Hidden Geometry of Your World, and play your first lesson in under a minute.