Gann Square of 9

The Square of Nine is a spiral of numbers: 1 at the centre, 2 to 9 in the first ring, 10 to 25 in the next, and so on outward. It has exactly one structural property, and everything the tool does follows from it — consecutive perfect squares sit on the same diagonal, one revolution apart. √1 = 1, √9 = 3, √25 = 5, √49 = 7.

So a full turn of the wheel always adds 2 to the square root, whatever number you start from. That single fact means the tool needs no lookup table and behaves identically at 12 and at 12,000. From a base of 100 (√100 = 10), one full revolution reaches 12² = 144. Half a turn reaches 11² = 121. A quarter turn reaches 10.5² = 110.25.

Gann used the physical wheel to read numbers off a card. This tool does the same arithmetic and draws the results as price levels, which is the only part a chart needs.

For a base price and an angle around the wheel:

1. 1
   Click the base

   A significant high or low — the price the wheel is walked from. This is the tool's only real input; everything drawn is derived from it. Use the actual extreme, not a rounded number, unless you have a reason to prefer the round one.
2. 2
   Click to the right

   The second anchor sets how far right the levels run and supplies the price the degree readout answers for. Put it on the swing you want measured — the tool then tells you how many degrees that swing covered.

The tool ships the classical eight visible and the eighth-turn offsets available but hidden. Showing all sixteen by default buries the ones that carry the method.

Level colours encode this ranking rather than being decorative, so the strongest divisions are identifiable without reading the labels.

Gann’s tables run past one turn. A 90° level and the 450° level a revolution beyond it are both live, and on a market that has doubled, the second turn is where the levels actually are. The Revolutions setting repeats the whole degree set at +360° per turn, so those are reachable without retyping every offset.

Later turns are drawn dashed and one step lighter. That is a statement about position, not strength: they are the same divisions one revolution out, and the visual recession only keeps the first turn readable underneath them.

• A 180° level reached and rejected is the wheel’s most common reaction. Price has covered half a revolution from the base — a complete intermediate move by this method.
• A 360° level is where price has squared its own range. Gann treated reaching it as the completion of a move, not a stage in one; expect either a reversal or a clear break into the next revolution.
• Levels that coincide with a prior swing high or low validate the base. If several past extremes land on wheel positions from the base you chose, that base is meaningful for this instrument. If none do, the base is probably wrong — change the base, not the degrees.
• The degree readout on the second anchor is the diagnostic. A swing that measures 178° or 362° is squaring; one that measures 143° is not at a recognised division and carries no claim.
• Confluence with a Fibonacci level at the same price is the strongest signal available from either tool, because the two derive it from unrelated arithmetic.

Base selection is the entire skill, and it is where the method is most often misused. Rules that hold up:

1. Use a structurally significant extreme — an all-time low, a multi-year high, the origin of the move you are trading. Not an intraday wick on a quiet session.
2. Validate before trusting. Project from the candidate base and check whether past turning points land on wheel positions. This is a falsifiable test and it takes ten seconds.
3. If validation fails, change the base rather than adding degrees. Adding eighth-turns until something lines up will always succeed and always means nothing.
4. One base per analysis. Stacking wheels from several bases produces a level within a tick of any price, which is the same as having no levels.

• 1.The Gann Pyramid: Square of Nine Essentials — James A. Hyerczyk (1998)
• 2.How to Make Profits in Commodities — W.D. Gann (1942)
• 3.Gann square drawing tool — TradingView Help
• 4.Gann Angles — StockCharts ChartSchool