
A 2 foot by 3 foot softbox facing a parallel wall 9 feet distant - simulated in Maxwell Renderer v 1.7
Softbox with 1" deep egg crate grid - a Maxwell Render simulation
Softbox with 2" deep egg crate grid - a Maxwell Render simulation
Softbox with 4" deep egg crate grid - a Maxwell Render simulation

Softbox with 8" deep egg crate grid - a Maxwell Render simulation
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Here is a 30 minute render of a CG model using Maxwell Render 1.7 to simulate a softbox gridded deeply, shallowly, and not at all.
The three frames were all of quite different exposures. The deeper the grid, the more light was lost. Maxwell images are 32-bit HDR files, so I equalized them in Photoshop. You can see how much noise remains in the deep grid image after a half hour of rendering.
As the grid gets deeper, the light rays become more parallel, and the shadow on the wall becomes sharper, as if from a harder light. I find it hard to see much difference in softness or hardness on the figure itself, although with more light on the wall there is more bounce fill and less contrast.

A bare light bulb about the size of a real bulb. Note the distinct, but slightly soft-edged shadow. Fairly hard light.
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Hard light and soft light from ungridded distant and close softboxes.