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Magic square generator

Generate a magic square of any order from 3 to 20 — a grid of the numbers 1…N² where every row, column and diagonal adds to the same magic constant. It picks the right construction automatically: the Siamese method for odd orders, diagonal complements for multiples of four, and the Strachey method otherwise.

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Open Magic square generator and you get an answer straight away, with no account to create. It covers the Siamese method for odd orders, diagonal complements for multiples of four, and the Strachey method otherwise — adjust any of them and the result follows immediately.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What does Magic square generator do?

Generate a magic square of any order from 3 to 20 — a grid of the numbers 1…N² where every row, column and diagonal adds to the same magic constant. It picks the right construction automatically: the Siamese method for odd orders, diagonal complements for multiples of four, and the Strachey method otherwise.

What does a concrete case look like?

3 × 3 → Σ = 15 — the tool shows every step in between, not just the final figure.

What does it take into account?

It factors in the Siamese method for odd orders, diagonal complements for multiples of four, and the Strachey method otherwise. Change any of them and the output follows immediately.

When would I actually use this?

Homework and site work alike: how much paint a wall takes, how much water a tank holds, whether a corner is square — and, on the coordinate side, the slope between two points, the distance across a plan, the midpoint of a span.

What is the most common mistake?

Mixing units inside one shape. Entering a length in centimetres and a width in metres gives an area wrong by a factor of a hundred, and the result looks perfectly plausible.

How is Magic square generator different from Square diagonal calculator?

They sit next to each other but answer different questions: Square diagonal calculator is the one to open when you need it to compute the diagonal and area of a square from its side length. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

Square calculator is the closest one after this: All four measures of a square from any one. Give the side, the area, the perimeter or the diagonal and it returns the rest — side s, area s², perimeter 4s and diagonal s√2 — instantly.

What else is worth having open alongside it?

Chi-Square Test Calculator and Completing the Square Calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from?

The formulas are the classical ones and the results are exact to the precision shown — geometry does not change with the year or the country, so nothing here needs updating.

Further reading

All guides →
How-toHow to Calculate the Square Metres of a RoomFind a room's area by multiplying length by width. Here's the method for rectangular, L-shaped and round rooms, and why area drives your material orders.ExplainerThe Flat Pattern of a Cone Is a Sector, Not a CircleRoll a 50 mm cone 80 mm tall and its pattern is a 190.8° slice of a 94 mm circle. Flatten a nearly cylindrical lampshade and the pattern radius runs to 839 mm — the shallower the taper, the further away the apex.How-toHow to Find the Distance Between Two PointsUse the distance formula d = √((x₂−x₁)² + (y₂−y₁)²) to measure the straight-line distance between two points on a plane, with a worked example and the midpoint too.How-toHow to Calculate the Slope of a Line: Rise Over RunFind the slope of a line from two points with m = (y₂ − y₁) / (x₂ − x₁), and read what a positive, negative, zero, or undefined slope tells you.ExplainerThe Pythagorean Theorem ExplainedIn a right triangle, a² + b² = c². Here's what the formula means, a worked example, how to find any side, and where it's used in real life.How-toHow to Calculate VolumeVolume is the space inside a shape. Here's how to find it for boxes, cylinders and spheres, and why keeping your units consistent is the whole game.