What would be the next step in this layer

In order to create this layered paper sculpture what would be the next layer after what I have traced?
Has anyone done something similar that knows?

Have a look at this previous thread. Same sculpture, different purpose, but the approach recommended may suit.


I think his approach is different, I am simply tryint to understand how I can recreate this with sheets of paper. I know each curve is scaled down but not sure if its scaled down one direction or the whole shape is scaled down.


A couple of things. I don’t think there is any scaling going on here.

It looks like it’s the same design that keeps getting repeated at each level… but the trick is that the pattern is being shifted and rotated sideways, and also being pushed up (to the top) at each of the previous (or, lower) layers.

That is to say the top layer is the full pattern… and the next layer down gets rotated, and shifted according to some magical but repetitive formula.

… and the layer below that one follows along with the same set of ‘shifting’ rules.

The Biggest thing here is that there are two parts that need to be managed.

  1. the ‘s’ curve patterns.
  2. the outside margins, and the square border.

As the s–curve patterns gets shifted about… they’ll need to be clipped off at the top, and at the same time you’ll need to add back in additional space along the bottom border… since it keeps getting larger every time you go down by one extra level.

You can see how the bottom keeps growing, and twisting as the s–curves keep getting pushed higher up towards the top of the page.

In this screen shot I drew a Center line across the middle of the page. Then I made a (cyan colored) reference line on the top piece of paper… going from the lower r/h corner of the s-curve—to where the back of the s-curve first touches the center line.

Then I counted down 5 Page Levels… and drew in the (orange colored) line between the same points (lower r/h corner—to the back of where the s–curve touches the center line).

And that angle measures out to 11.65°…

* reference lines were only drawn diagonally across the s–curves so that I can see—and count the levels clearly

Anyhow, I could be wrong here… we’d need a different camera angle to show the inside of the wave forms better.

But I think you can go a long way with just keeping the S-Curves the same… and coming up with some pattern for shifting, rotating them.

The major work will be in adjusting all of the margins around the boarders. Top, Bottom, and of course, both Sides for that matter.

Take Care,

Jim D.

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Two more things to note: The five columns are not identical (even though the front faces are) and the “steps” are not parallel but radiate out from a point (or points) to the left.

It looks to me like the columns are each a horizontal view of a vertical 3d helical arrangement of the s-curves - accounting for the vertical offset and the variant widths.


Agreed, and it’s probably for the better!!

… since a rigid pattern, following the exact same steps of alteration between layers… will produce mechanical results.

… subtle variations in ‘shape or change’ being more organic looking.

[ animation showing @jeremy5 idea about rotation points ]

You can find it using the Extend Command

make sure to have vertical lines in place so you have something to extend too.

Also consider the Offset command here. Scaling can create some distortions (depending upon direction, and where the reference point is located.

Offset will space lines (especially curved ones) more evenly.

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