Bitcoin Wave

Visualizing Bitcoin's cycles with mathematical models — by Leo Heart, mathematician and author of the Bitcoin Rainbow Wave indicator

Live data · charts update automatically

Halving Clock

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The Bitcoin cycles as a clock face: XXIV h-hours at the top mark all the halving blocks. Every hand moves as blocks are mined — at roughly 1/1440th the speed of a normal clock.

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Deviation Rainbow

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The deviation of the Bitcoin price from its long-term trend, visualized as a rainbow of bands.

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Bitcoin Cycles

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An overview of the historical Bitcoin price cycles, aligned and compared.

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Root Chart

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A chart based on a root function to model Bitcoin's long-term growth.

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BTC H-time Calculator

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A calculator to project future Bitcoin prices based on cycle patterns.

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About the model

These charts are built on the mathematical logic developed in my open-source TradingView scripts, including the Bitcoin Rainbow Wave indicator. At the core is a power-law trend — log(BTC) = 1.5 + 5.4·log(h) — measured in h-time: block-based time where one halving cycle equals 100%. Rainbow bands mark valuation zones from undervalued to overheated, and the "no-miss zones" highlight the phases Bitcoin has visited in every cycle so far. For news and cycle updates, follow me on X.