Patterns Across Words, Numbers, and Shapes
Develop disciplined problem-solving heuristics across visual, numeric, symbolic, and verbal puzzles. Learn how expert solvers break down complex matrices, isolate subtle mathematical progressions, and bypass the cognitive traps that stall analytical thinking.
Like Duolingo, but for Patterns Across Words, Numbers, and Shapes. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
24 levels across 4 sections, about 48 minutes end to end, roughly 10 days at five minutes a day. It moves through Visual Logic and Spatial Relationships, Numeric and Symbolic Deductions, Verbal Structures and Lateral Reframing, and Multimodal Synthesis and Mental Agility. It assumes you already know the basics.
Free forever · No credit card · iPhone & Android
Key ideas in Patterns Across Words, Numbers, and Shapes
- Composite puzzle figures often blend multiple independent rule tracks onto one tile
- Layering lets you mentally peel apart foreground marks from inner pointers to find separate rules
- Evaluating a multi-element figure as one whole object masks independent sub-element motions
- Boolean XOR deletes segments where two overlapping figures share identical lines
- Translation moves a feature along a consistent vector across consecutive cells
- Reflection mirrors an asymmetric figure across a horizontal, vertical, or diagonal axis
- Conservation rules preserve global sums like total line or dot count across an entire row or column
- When row-wise transitions show no clear movement rule, the orthogonal column sum often holds the invariant
- Individual tile shapes can change completely while preserving a constant underlying feature sum
- High-contrast outer boundaries trigger perceptual capture, blinding solvers to internal changes
- Decoupling the container shape from its fill allows the background pattern to be analyzed on its own
- Fill rules like line density or hatch angle frequently run entirely independent of border geometry
- Linear step progressions add or subtract a fixed, constant quantity across each cell
- Alternating sequences oscillate back and forth between two states with zero net advancement
- Accelerating patterns increase their rate of change at each step, expanding by growing increments
- Invariants like enclosed loops and branch intersections never change during rotation
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 Patterns Across Words, Numbers, and Shapes 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.
How can visual layering help you solve a busy, complicated puzzle tile?
Get it right to open this lesson and 23 more in the app.
Where Patterns Across Words, Numbers, and Shapes takes you
- 1
Visual Logic and Spatial Relationships
- Deconstructing Visual Matrices
- Dissecting Spatial and Geometric Transformations
- 2
Numeric and Symbolic Deductions
- Unmasking Non-Linear Number Sequences
- Deciphering Symbolic Constraints and Logic Grids
- 3
Verbal Structures and Lateral Reframing
- Cracking Cryptic Word Patterns and Linguistic Codes
- Lateral Reframing and Picture-Based Riddles
- 4
Multimodal Synthesis and Mental Agility
- Synthesizing Multimodal and Cross-Domain Puzzles
- Cognitive Auditing and Error Diagnosis
4 sections · 8 units · 24 levels. Built to play, not to enroll.
Tomo is in ChatGPT
Tomo is also a ChatGPT plugin: the same playable courses, built and played inside your chat.
Add Tomo to ChatGPT- What to ask
- “Make me a Tomo course on black holes.” “Turn this chat into a Tomo course.”
- What you get
- Quick questions with instant feedback, hearts and stars, ready to play in about a minute.
- Where it goes
- No sign-up to start. Connect your Tomo account and your streak carries on in the app.
You pick the voice
Patterns Across Words, Numbers, and Shapes 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 Patterns Across Words, Numbers, and Shapes today.
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