Gann Square of Nine for the ASX 200: A Worked Example

Enter one ASX 200 price into the Square of Nine and the app returns a full ladder of levels in one step. From the 7 April 2025 closing low of 7343.30 it lists cardinal levels at 7310.25, 7396.00, 7482.25 and on up through 8372.25, 8742.25 and 9312.25. This post shows how to run it, how to read it, and how the index behaved against those levels over the next 18 months, including one hit and one miss.

The useful part comes first. The spiral arithmetic is exact and the app does it instantly. You can then test the levels against real closes before you give them any weight. That is the point of doing it this way.

What the Square of Nine does

The Square of Nine is a number spiral. Take the square root of a price, add a quarter or half a turn, and square the result. Each step gives a price that shares an angle on the spiral with your starting price. The app marks the 0, 90, 180 and 270 degree levels as cardinal, and the 45 degree levels in between as diagonal.

For the background and the history, see our Square of Nine guide. This post is the worked example for one index.

Step 1: choose the anchor from a stated rule

The anchor is the one input that is up to you, so pick it by a rule you write down first. Otherwise you can try ten anchors and keep the one that looks best.

Our rule: the lowest daily close of the ASX 200 from 2 January 2025 to 22 October 2026. We pulled the closes from Yahoo Finance (ticker ^AXJO) on 24 October 2026. The lowest close in that range is 7343.30 on 7 April 2025. We stopped at 22 October because the 23 October row from Yahoo shows zero volume and looks unfinished.

Step 2: run the module

It costs 1 compute unit, and the free plan includes 50 units a day.

1. Sign in at crohamhurst.app and open the dashboard.
2. Choose Gann Square of Nine from the sidebar.
3. Type 7343.3 into the anchor price box.
4. Leave the step at 45 degrees and the rings at 4.
5. Press Run Square of Nine.

Step 3: read the ladder

The app puts 7343.30 at 124.8 degrees on the spiral, closest to the 135 degree north-west axis, and returns 48 levels. This is the start of the table:

Here are the levels from the run that matter for the index today. Each is a square of a multiple of a quarter, so they are the same whichever anchor you use. The anchor only decides which part of the grid you see.

To see levels that high we ran the module a second time with 6 rings, which is why the table reaches past the 4 ring default. The cardinal levels sit about 90 to 96 points apart across this part of the ASX 200, which is roughly 1.0 to 1.1% of the index level.

What the index did against the levels

From the anchor, ASX 200 closes rose 26.3% to a high of 9271.60 on 6 August 2026. We then checked three points, picked by simple rules before looking at the levels:

• The lowest close in the window (the anchor itself).
• The lowest close of 2026.
• The highest close in the window.

We counted a "fit" as the close landing within 0.25% of a cardinal level.

The arithmetic is the level minus the close, divided by the close. For the 2026 low that is (8372.25 - 8365.90) / 8365.90 = 0.08%. For the high it is (9312.25 - 9271.60) / 9271.60 = 0.44%.

So the March 2026 low closed within 0.08% of the 8372.25 cardinal level, a close fit. The August high stopped 0.44% short of the 9312.25 level, a miss on our 0.25% rule. The intraday high that day, 9296.70, was closer to it at 0.17%, but we kept to closes for every point so the test stays the same throughout. The anchor does not count, because by construction it is the low.

How often would a random price fit?

This is the check the app lets you run before you trust a level. With cardinal levels about 1.05% apart and a band of 0.25% either side, each level covers about 0.5% of that gap. A close landing at random would fit about 45 to 48% of the time.

So one hit from two honest tests is what chance alone gives about half the time. It is a small sample and it proves nothing in either direction. Read it as an example of how to test, not as evidence for the method.

Add the diagonal levels and the picture gets worse for the method. Diagonals sit about 0.55% apart, so a 0.25% band either side covers roughly 90% of all prices. A close near some level, cardinal or diagonal, will happen on most days. This is why we scored cardinal levels only.

Where the index sits now

The last complete close in our data is 8793.20 on 22 October 2026. The nearest cardinal levels are 8742.25 (0.58% below) and 8836.00 (0.49% above). A diagonal level at 8789.06 is only 0.05% below the close, but as above, a diagonal that close means very little. We are not calling a direction from this. It is simply where the ladder places the index today.

Common mistakes

• Choosing the anchor after seeing the chart. Pick it by a rule, as we did here.
• Counting only the hits. Note every level the index ignored, and count the near fits that chance would have given you.
• Trusting diagonal and minor levels. The more levels there are, the more often price touches one by luck.
• Mixing closes and intraday prices. Choose one and keep to it.

What this does not tell you

The ladder gives price levels, not direction, and not whether a level will hold. Two points cannot confirm or reject a method. A stronger test would score many swing points over many years, or a written call with a date and a rule, as we do in our gold example. The positive side is that the app makes this kind of check fast and repeatable for any market. The same steps for WTI crude take a few minutes.

This is research and education, not financial advice.

Try it yourself

Create a free account at crohamhurst.app, open Gann Square of Nine, and enter a swing low you chose by a rule. The Square of Nine guide walks through every field, and the free calculator works without an account.