Sierpinski Carpet Coloring Pages

Print the Sierpinski carpet, a square cut into nine smaller squares with the central one removed, then the same done to each square left. Its outline at steps 1, 2 and 3 holds 8, 64 and 512 small squares, around 1, 9 and 73 holes.

One sheet lines up the carpet from a plain square to step 3, and another marks each hole with the step that removed it. The five pages come together as a workbook.

Part of the Sierpinski Fractals collection, Last updated on Tue, 03 Nov 2026 00:31:21 GMT.

Free Printables

Sierpinski Carpet, Step 1

The carpet at step 1: 8 squares and 1 hole to color. | zuzuzi.com

Sierpinski Carpet, Step 2

The carpet at step 2: 64 squares and 9 holes to color. | zuzuzi.com

Sierpinski Carpet, Step 3

The carpet at step 3: 512 squares and 73 holes to color. | zuzuzi.com

Sierpinski Carpet, Steps 0 to 3

The carpet from a plain square to step 3, four drawings on one sheet. | zuzuzi.com

Sierpinski Carpet, Color by Step

Each hole of the carpet marked 1, 2 or 3, and boxes to pick a color for each. | zuzuzi.com

Nine Squares, One Hole

Each step divides every remaining square into a grid of three by three and removes the middle one. The pieces shrink to a third of their width each time, which is why the carpet stops at step 3 on a printed page.

A Grid of Holes to Color

At step 3, the 73 holes range from one large square in the center to 64 tiny ones. Coloring them by size, or by step on the dedicated page, shows how the pattern nests inside itself.

Described in 1916

Wacław Sierpiński presented the carpet in 1916, a year after his triangle. It keeps eight ninths of its area at each step, yet after many steps almost nothing of the square is left.