Printable Graph Paper

Spiral Graph Paper

Evenly spaced coils or the golden logarithmic spiral, drawn to trace, to design on, or to lay out a composition against.

210 × 297 mm
Download PDF
Download PDF

How to print Spiral Graph Paper

  1. Pick the paper

    Choose Spiral Graph Paper from the list. It opens with the usual size already set.

    Spiral Graph Paper selected in the list of paper types
  2. Set it up

    Pick the paper size, the grid and the orientation. Customize holds colours, margins and more.

    Settings for Spiral Graph Paper: paper size, grid and orientation
  3. Download or print

    Download the ready PDF, or print straight from the page at 100% scale.

    Spiral Graph Paper preview with the Download PDF and Print buttons

Two spirals, two behaviours

An Archimedean spiral gains the same distance on every turn, so the gap between coils never changes. It is the groove on a record, the coil of a rope, and the layout behind spiral mandalas and rose windows. A logarithmic spiral instead multiplies its radius by a fixed ratio each quarter turn, so it grows without ever changing shape — the nautilus shell, the seed head, the hurricane.

At 162% growth per quarter turn the logarithmic spiral is the golden spiral, which approximates the sequence of squares built on the Fibonacci numbers. Lower the growth and the coil tightens; raise it and it opens out.

Drawing with it

Rotation sets where the spiral starts, which matters when you are composing to it.

  • Golden ratio composition — a photography and design overlay.
  • Mandala and zentangle bases — an Archimedean spiral to fill in.
  • Knitting and crochet spirals — planning a flat round.
  • Quilling and paper craft — a cutting guide for rolled paper.
  • Teaching sequences — the Fibonacci spiral, drawn to scale.

Every sheet here is free, adjustable and prints at exact scale.

Questions

What growth makes the golden spiral?

162% per quarter turn. That is the golden ratio, 1.618, applied every 90° — the spiral that fits the Fibonacci rectangles.

Which spiral do I want for a mandala?

Archimedean. Evenly spaced coils give you concentric bands of the same width to fill, which is what a mandala needs.

Why does the golden spiral look off-centre?

Because it is — a logarithmic spiral has no centre in the ordinary sense, it only approaches one. Use the rotation setting to turn it to where you want it.