assemblyby assembl · pattern studioAll study machines

← Back to the living studio

MAKE SOMETHING. FIGURE IT OUT.

Make a pattern.
Find its secret.

Allen, your study sidekick

Start with a quick win.
Turn it, remix it, then tell Allen what changed.

3 investigations ready to tryExplore the whole Studio →
ROTATION / A FULL TURN
The diagram is also described in the readout and explanation below.

GEOMETRY · EXPLORE

One petal. A whole pattern.

YOUR TURN / TEST THE RULE

Predict. Try. Explain.

You can try as many times as you like.

TAKE IT FURTHER

What stayed the same?

Keep exploring

Nothing is submitted or saved. Your comparisons and answers stay in this tab until you leave.

MADE BY YOU

Take your creation with you.

Save a PNG for a Story, a square post or a print. Choose where to share it yourself after downloading.

Artwork only by default. No upload, account connection or automatic posting.

These are still images, not videos. Your device chooses available share apps; Instagram and TikTok targets are not guaranteed. Download is always available.

Choose a size, then preview your current creation.

THE WHOLE STUDIO / A LEARNING COLLECTION IN PROGRESS

Forty engines. Better questions.

The three investigations above are the first working slice. Explore all eight families below to see what is ready, what could add real learning value, and what already exists in Study.

What should come next?

  1. Flocking and flow fields: visible rules, deterministic seeds, pause/step and a fair-comparison challenge.
  2. Image sampling: a built-in image, adjustable resolution and evidence-based reconstruction feedback.
  3. Knots and surfaces: purposeful 3D viewpoints linked to the existing shape and materials tools.
  4. Make an evidence sheet: build on the PNG and A4 exports above with reproducible settings, prediction and result, then connect to Print Lab.

Proposed entries are plans, not working simulations. Existing-machine links open the current Study tools. No date or curriculum endorsement is implied.

For teachers · models, curriculum connections and provenance

Suggested exploration for Years 9–10, with wave interference as extension. Rotation connects to spatial reasoning in the NZ mathematics teaching sequence. Arbitrary-angle rotational symmetry and nearest-point regions extend that connection. This is supplementary practice, not a claim to cover an achievement standard or a mandatory unit.

These are deliberately simplified mathematical models. The wave display adds two ideal, equal-amplitude sine waves at one instant; it does not simulate a vibrating plate, audio or water. The distance display uses straight-line distance on a flat plane, without roads or barriers. Patterns are original geometric forms, not representations of customary Māori designs.

Inspired by the breadth of assembl Generative Studio. All teaching code here is original; no Studio source, third-party renderer, image upload or AI service is included. See provenance and scope.