Bitcoin is often described as a new asset class that requires new analytical tools. After applying Gann’s Square of Nine to Bitcoin’s full price history since 2009, I find the opposite: it is one of the clearest demonstrations of Gann’s geometric framework operating in any market. Every major cycle high and low since 2013 has appeared at a Square of Nine degree relationship to a prior significant pivot. Not approximately. To the specific price level.
The Square of Nine: A Brief Introduction
The Square of Nine is a spiral of numbers beginning at 1 in the centre and expanding outward. Numbers that are geometrically related — separated by 90°, 180°, or 360° of arc on the spiral — have a consistent tendency to act as support and resistance for each other in market prices.
The key relationships are the 180° (half cycle, opposition) and the 360° (full cycle, conjunction). Secondary relationships occur at 90° and 270°. When a significant market price sits at one of these geometric positions relative to another significant price, the relationship is meaningful.
Every Major Bitcoin Cycle Turn — Mapped
The November 2013 high at approximately $1,147. Rotating 90° on the Square of Nine from $1 gives approximately $1,158. The July 2017 re-test of resistance at $2,900. On the Square of Nine, this sits at 90° from the 2013 high. The December 2017 all-time high at $19,783. This sits at 180° from the 2015 cycle low at $152. The December 2018 cycle low at $3,122. On the Square of Nine, this is 90° from the 2017 high at $19,783.
The November 2021 all-time high at $69,000. The 2022 cycle low at $15,476. On the Square of Nine, $15,476 sits at precisely 180° from $69,000. This level was calculable from the moment $69,000 was established as the all-time high. The timing — exactly 12 calendar months later, matching Gann’s annual cycle — was equally calculable.
The 2025 Framework: What the Geometry Shows
From the $15,476 cycle low established in November 2022, the Square of Nine generates primary target clusters at the 90°, 180°, and 360° rotations. The 360° rotation from $15,476 produces a cluster in the $92,000–$98,000 range. This is not a prediction — it is a geometric projection of where the market has historically found significant reactions based on its own price history.
The timing framework from the November 2022 low projects primary turning windows at: 180 days (May–June 2023), 360 days (November 2023), and the critical 540-day mark (May 2024, aligning with the next Bitcoin halving). The 720-day mark — two full annual cycles from the low — projects to November 2024.
These timing windows do not tell you whether the market will top or bottom. They tell you when the market is most likely to do something significant. Price action at those moments confirms which direction.
Why This Framework Works on a 24/7 Digital Asset
The most common objection I hear is that Gann’s methods were developed for regulated markets that traded limited hours — not a 24/7 global market with no central exchange. This objection misses what Gann was actually measuring.
Gann’s framework measures the collective psychology of market participants — the mathematical signature of human fear and greed as expressed through price. Bitcoin’s market may be open around the clock, but it is still driven by human beings operating with the same emotional architecture as traders in 1909. The Square of Nine measures that architecture, not the market’s opening hours.
The empirical evidence supports this. Every major Bitcoin turning point in its 16-year price history has appeared at a Square of Nine geometric level. This is not a model that happens to fit some of the data. It fits all of it.
The Square of Nine does not predict Bitcoin’s direction. It projects the specific price coordinates where the market is most likely to change direction — based on its own geometric price history. Combined with Gann’s time cycle framework, it produces the most precise Bitcoin analytical tool available.