Octagon Graph Paper
Regular octagons in a grid with small squares filling the gaps: the truncated square tiling, ready to design on.
Regular octagons in a grid with small squares filling the gaps: the truncated square tiling, ready to design on.
Choose Octagon Graph Paper from the list. It opens with the usual size already set.
Pick the paper size, the grid and the orientation. Customize holds colours, margins and more.
Download the ready PDF, or print straight from the page at 100% scale.
A regular octagon's interior angle is 135°, and three of them meet at 405° — more than a full turn. Two leave a 90° gap. So octagons alone cannot cover a plane, and the gap they leave is exactly a square.
That is the truncated square tiling, and it is everywhere in decorative work: Victorian hall floors, Roman mosaics, quilt blocks and Islamic geometric pattern all use the octagon-and-square arrangement, usually with the small squares in a contrasting colour.
The grid gives you the layout; what you do with the two shapes is the design.
Every sheet here is free, adjustable and prints at exact scale.
Because regular octagons cannot tile a plane by themselves — two meeting at an edge leave a 90° gap, which a square fills exactly. The combination is called the truncated square tiling.
10 to 15 mm suits most design work. Match it to your real tile or quilt block if you are planning something to be made.
Yes. A snowball block is a square with its corners cut off — an octagon — set against plain squares, which is precisely this grid.
