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已更新 Concentric Geometry – Invariant Metrics
Concentric 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
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
版本注释
Added 8-decimal precision to table and box outputs.版本注释
Metrics added开源脚本
本着TradingView的真正精神，此脚本的创建者将其开源，以便交易者可以查看和验证其功能。向作者致敬！虽然您可以免费使用它，但请记住，重新发布代码必须遵守我们的网站规则。
免责声明
这些信息和出版物并不意味着也不构成TradingView提供或认可的金融、投资、交易或其它类型的建议或背书。请在使用条款阅读更多信息。
开源脚本
本着TradingView的真正精神，此脚本的创建者将其开源，以便交易者可以查看和验证其功能。向作者致敬！虽然您可以免费使用它，但请记住，重新发布代码必须遵守我们的网站规则。
免责声明
这些信息和出版物并不意味着也不构成TradingView提供或认可的金融、投资、交易或其它类型的建议或背书。请在使用条款阅读更多信息。