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Iteration

Incomplete Open Cubes _ James King.

Iterate, Iterate, Iterate!

From a mathmatical definition of Iteration:

-Repeatedly applying a function or formula where each output feeds back as the input for the next step, getting closer to an exact solution.

Iterative approach:

1. Arrange your objects three ways. Try a row, a stack, and a cluster. Sketch a container around each arrangement.

2. Choose one arrangement. Build a rough paper or scrap-cardboard container. Spend about 10 minutes; skip decoration.

3. Test it with your objects. Do they fit? Stay in place? Come out easily?

4. Change one thing. Adjust the shape, proportions, opening, or spacing. Make a second version.

5. Test and repeat. Make a third version based on what you learned.

You should aim for at least 3 different models by the end of class, utilizing 3 different approaches.

For each version, you can ask yourself these questions:

How could I arrange them?
How much space does each object need?
How will I put them in and take them out?
Should they stay separated or touch?
What keeps them from moving or falling out?
Where does the container need more strength?
Could I use less material?
What is the quickest way to test the fit?
What worked or didn’t in this version?
What one change will I test next?
Did that change make the container work better?

 

Sketch array.

CleanShot 2026-11-04 at 13.01.51@2x.

Incomplete Cubes Art Installation by Sol Lewitt.

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