Geometric Price-Time Triangle Calculator═══════════════════════════════════════════════════
GEOMETRIC PRICE-TIME TRIANGLE CALCULATOR
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Calculates Point C of a geometric triangle using different rotation angles from any selected price swing. Based on Bradley F. Cowan's Price-Time Vector (PTV) methods from "Four-Dimensional Stock Market Structures and Cycles."
📐 WHAT IT DOES
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Select two points (A and B) on any swing, choose an angle, and the indicator calculates where Point C would be mathematically. It's just vector rotation applied to price charts.
This shows you where Point C lands in both price AND time based on pure geometry - not a prediction, just a calculation.
🎯 FEATURES
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✓ 10 Different Angles
• Gann ratios: 18.435° (1x3), 26.565° (1x2), 45° (1x1), 63.435° (2x1), 71.565° (3x1)
• Other angles: 30°, 60°, 90°, 120°, 150°
✓ Visual Triangle
• Adjustable colors and opacity for points A, B, C
• Line styles: Solid, Dashed, Dotted
• Extend lines: None, Left, Right, Both
✓ Crosshair at Point C
• Shows where Point C is located
• Vertical line = bar position
• Horizontal line = price level
✓ Data Table
• Shows all calculations
• Price-to-Bar ratio
• Point C location (price and bars from A/B)
• Toggle on/off
🔧 HOW TO USE
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1. Pick your swing start date (Point A)
2. Pick your swing end date (Point B) - make sure these dates capture the actual high/low of your swing
3. Choose an angle from the dropdown
4. Look at Point C - that's where the geometry puts it
Different angles = different Point C locations. Whether price actually goes there is up to the market.
📊 THE ANGLES
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- 18.435° (1x3) - Shallow rotation
- 26.565° (1x2) - Moderate rotation
- 45° (1x1) - Gann's balanced ratio
- 60° - Equilateral triangle (default)
- 63.435° (2x1) - Steeper rotation
- 71.565° (3x1) - Very steep rotation
- 90° - Right angle
- 120°-150° - Obtuse angles
💡 PRACTICAL USE
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→ See where geometric patterns would complete
→ Test if your market respects certain angles
→ Find where multiple angles converge
→ Compare projected Point C to actual price action
→ Use 90° to see symmetrical price/time relationships
→ Backtest historical swings to see what worked
⚙️ HOW IT WORKS
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1. Takes your AB swing
2. Calculates the BA vector (reverse direction)
3. Normalizes price and time using Price-to-Bar ratio
4. Rotates the vector by your selected angle
5. Converts back to chart coordinates
Basic trigonometry. That's all it is.
📚 BACKGROUND
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Based on Bradley F. Cowan's Price-Time Vector (PTV) concept from "Four-Dimensional Stock Market Structures and Cycles" and W.D. Gann's geometric angle analysis. Cowan observed that markets sometimes complete geometric patterns. This tool calculates where those patterns would complete mathematically. Whether price actually respects these geometric relationships is something you need to test yourself.
⚠️ IMPORTANT
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- This is geometric calculation, not prediction
- Point C shows where the math puts it, not where price will go
- Some angles might work for your market, some won't
- Test it yourself on historical data
- Price-to-Bar Ratio stays constant regardless of angle
- Don't trade based on this alone
- Works on all timeframes and assets
🎨 CUSTOMIZATION
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- Show/hide triangle
- Individual colors for A, B, C points
- Adjust opacity (0-100)
- Line styles for each triangle side
- Extend lines left/right/both/none
- Show/hide data table
- Crosshair color and width
- Customizable table colors
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Jenkins
Concentric Geometry – Invariant MetricsConcentric Geometry – Invariant Metrics
This indicator demonstrates the invariant concept of a concentric circle around a selected price range. By anchoring two points (A & B), it calculates a set of ratios and slopes that remain consistent under concentric scaling of price and time. These invariants include the raw slope (ΔP/N), concentric slope, π-adjusted ratios, and √2 offsets — all of which can be used to explore deeper geometric relationships in the market.
What has been demonstrated here is not an “out-of-the-box” trading system. Instead, the outputs provide the raw invariant metrics from which the trader must derive their own ratios and extensions. For example, price-to-bar ratio inputs are not fixed — they need to be derived from the invariants themselves, and experimenting with them is the key to uncovering harmonic alignments and scaling behaviors.
Key features include:
• Range & Bars Analysis – Price range (ΔP) and bar count (N) between anchors.
• Core Invariants – Midpoint, radius (price and bar units), upper/lower bounds.
• Linear Slope Metrics – ΔP/N and √2 concentric slope.
• π-Adjusted Price/Bar – Harmonic arc-length ratio.
• Circumference & Offsets – Circle circumference, √2 and 1/√2 offsets in price and bar units.
This tool is best suited for traders studying market geometry, W.D. Gann principles, harmonic ratios, or the geometric methods of Michael Jenkins. It does not generate buy/sell signals — instead, it equips the trader with building blocks for geometric exploration.
Key point: The trader must experiment with the ratios derived from these metrics. Playing with different price-to-bar relationships unlocks the true potential of concentric market geometry, whether applied to dynamic anchored VWAPs, concentric overlays, or Vesica Piscis structures.
Use it to:
• Compare slopes across swings
• Derive new ratios from invariant metrics
• Anchor dynamic anchored VWAPs to concentric nodes
• Explore concentric or Vesica Piscis overlays
• Support advanced geometric trading strategies
