Turn a favourite number or date into a unique piece of geometric artwork using the digits of π. Experiment with patterns, colours and detail, then download your creation.
Preparing your artwork…
Preparing your 3,000 × 3,000 PNG…
Save your artwork
On iPhone or iPad in Chrome or Safari, touch and hold the image below, then choose Save Image or Add to Photos.
If the Share / Save PNG button is shown, you can use it to choose Save Image or Save to Files. Menu wording varies by browser.
This is the full 3,000 × 3,000 PNG, displayed smaller to fit your screen. Save this image rather than taking a screenshot.
Open or download full-size PNG
How It Works
Enter a number or date to select a starting position in the digits of π. These digits help generate the geometric patterns in your artwork. Experiment with different variations and colours to create your own design.
The Mathematics
Every artwork contains a square, a circular composition and a right-angled isosceles triangle with angles of 45°, 45° and 90°. Explore how the smaller geometric patterns change while the main shapes remain fixed.
The Inspiration
This Pi Artwork Generator was inspired by Google’s 2019 Pi Celebration artwork. The original interactive generator is no longer readily available, so I wanted to recreate the experience and make it accessible to teachers, students and mathematics enthusiasts.
Developed for MathsTeachersOnly.com, this independent generator uses genuine digits of π and its own geometric algorithm to create colourful, personalised mathematical artwork. Visitors can explore different designs, experiment with colours and download their creations.
Mathematics and Classroom Ideas
Ideas for Years 7–12: every artwork keeps the same square, circle and right-angled isosceles triangular structure while its smaller shapes and patterns vary.
Geometry
Identify properties of the square, circle and 45°–45°–90° triangle. Explore angles, symmetry and relationships; distinguish the symmetry of each boundary from the patterns within it.
Area and Proportion
For square side s, explain why the triangle’s area is ½s². Compare circle and square areas using A = πr²; discuss overlap and visible coloured regions.
Pythagoras’ Theorem
Use the equal perpendicular sides to derive d² = s² + s² and d = s√2. Relate the square’s diagonal to the triangle’s hypotenuse.
Patterns and Algorithms
Compare π starting positions and design variations. Record what changes and what stays fixed, then investigate why identical settings and digit data reproduce the same design.
Mathematics and Art
Experiment with colour, shading and detail. Explain how geometric rules, proportions and a repeatable algorithm create visual art.
Pi Artwork Challenge
Choose a meaningful number or date, download the design and write a short mathematical explanation. Create a class display or school Pi art competition; favourite numbers can protect personal dates.
Technical Information
The generator retrieves 5,000 consecutive decimal digits from Pi Delivery through the existing MathsTeachersOnly WordPress integration, in five supported blocks of 1,000. Successful blocks are cached on the server for seven days; up to 20 complete selections are cached in your browser when storage is available. Your requested starting position is sent to Pi Delivery through this website.
A hash of all 5,000 digits, combined with the starting position and selected design, seeds our own geometric algorithm. Individual shapes do not directly represent individual digits. Identical numbers, designs, colours, settings and digit data reproduce identical artwork. The latest generated position and settings are remembered in this browser when storage is available.
If genuine digits cannot be retrieved or found in the browser cache, the status and PNG filename clearly identify a repeatable illustrative preview. This uses the number without genuine π data and can differ from the genuine-digit artwork.
The source information below shows the first 60 digits and the SHA-256 fingerprint of the full 5,000-digit block. This identifies the digit data; it is not a fingerprint of the artwork. PNG filenames identify the starting position and design number.
Exports remain 3,000 × 3,000 pixels, including a small credit in the existing bottom margin. Download PNG and Save Image / Share use the same full-resolution image. On supported mobile browsers the save view also offers file sharing; otherwise, touch and hold the image or open the full-size PNG.
The triangle’s underlying region occupies half the square. The circular composition overlaps part of that region, so visible yellow motifs do not themselves cover half the square.
Waiting for π digit data.
Please enable JavaScript to generate and download artwork.