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How to Make a Square from A4 Paper (With Geometry)

Turn one A4 sheet into a precise square in minutes, with a clear geometric explanation and a Rabbit Ear demo.

A4 paper converted into a square

Published: 2026-05-05

Source: FoldBook Original


Rabbit Ear Geometry Demo: A4 to Square

Create a diagonal fold, remove the extra strip, and unfold a 210 x 210 square.

A4 297 x 21021087
Crease (45°)Square areaTrim area

Key dimensions

  • Short side: 210 mm
  • Long side: 297 mm
  • Extra strip: 87 mm
  • Resulting square: 210 mm x 210 mm
  • Area kept: 70.7%
  • Fold angle: 45°

Many origami guides begin with “use a square sheet.”

In real life, most of us only have A4 paper (210mm x 297mm). This tutorial solves that first step cleanly.

Quick Specs

  • Difficulty: 1/5
  • Time: 2-3 minutes
  • Paper: A4 copy paper (70-100gsm)
  • Result: 210mm x 210mm square
  • Best for: any origami model that starts from square paper

Steps

  1. Place A4 in portrait orientation.
  2. Fold the top-left corner diagonally so one edge aligns cleanly with its adjacent side.
  3. A long extra strip appears on the right.
  4. Crease the boundary between the square area and that strip.
  5. Cut (or tear) along that boundary.
  6. Unfold: the remaining sheet is a square.

Why This Always Produces a Square

This is geometry, not guesswork:

  1. The short side of A4 is fixed at 210mm.
  2. The fold constructs a region whose side length equals that short side.
  3. The extra strip width is long side - short side = 297 - 210 = 87mm.
  4. Removing that strip leaves 210mm x 210mm.
  5. Equal side lengths mean it is a square by definition.

In other words, we do not “transform” a rectangle into a square. We extract an exact square from it.

FAQ

No scissors?

Fold the boundary back and forth to weaken the fiber, then tear slowly.

Does small error matter later?

Yes. Even 1-2mm drift can hurt symmetry in diagonal models.

Must it be A4?

No. Any rectangle with long side > short side works with the same logic.