Free module · Research & investment
Technical Analysis: Geometry, Structure & Evidence
Turn chart ideas into measurable rules. Separate what a chart shows from what a strategy can earn.
Fibonacci · breakouts · FVG · Heikin-Ashi · Renko · structure
The building blocks
A chart summarizes observed prices. Start with a level and a clear observation rule; then test whether that rule helps a trading decision.
- Read candles, levels and completed observations
- Measure ratios, transformations and confirmed structure
- Test incremental value against simple baselines
Lessons in this module
- Support, resistance and reversal: start with a price zone
- Breakout detection, false breaks and retests
- Fibonacci retracements: anchors before ratios
- Harmonic patterns: ratio constraints and competing candidates
- Elliott Wave: count hypotheses, rules and invalidation
- Fair value gaps (FVG): three-bar geometry and fill measurement
- Heikin-Ashi: smoothed candles are synthetic prices
- Renko: price-driven bricks and the missing time axis
- Dynamic support, trend lines and Gann angles
- Momentum indicators, oscillators and divergence
- Volume, supply/demand zones and what OHLCV cannot reveal
- Market structure, BOS and CHOCH as a state machine
- Moon phases: encode a calendar hypothesis and try to falsify it
Practice and apply
- Distance to support — Close=101, support=100, prior ATR=2. Find normalized distance.
- Buffered boundary — Prior maximum high=102, ATR=2, buffer=.5 ATR. Find trigger boundary.
- Retracement level — L=100,H=120,r=.618. Find the level.
- Leg ratio — XA length=20 and AB length=12.36. Find AB/XA.
- Wave-three length — Wave 2 ends at 105 and wave 3 at 123. Find wave-three length.
- Gap width — First high=102, third low=104. Find bullish FVG width.
- HA close — Real OHLC is 100,106,98,104. Find HA close.
- Next up brick — Last up close=106 and brick size=2. Find continuation threshold.
- EMA update — Previous EMA=100, close=104, α=.25. Find new EMA.
- Rate of change — Price changes from 100 to 105. Find decimal ROC.
- Relative activity — Current volume=1500 and prior baseline=1000. Find relative volume.
- Pivot availability — Pivot index=10, required right bars=2. Find confirmation index.
- Quarter-cycle age — Use period 29.53059 days. Find a quarter cycle.
Work through the practice exercises · Quant development tools