Rasterize 3-D area into gridded-areas

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Hello,
The 3-D space is devided into blocks with side length of "d". There is a 3-D triangle (quadrilateral) in it. I want to rasterize the 3-D area into small squares aligning with the blocks. Like this:
into:
another grid size:
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zhi liu
zhi liu 2020-7-2
编辑:zhi liu 2020-7-2
These are small flat squares aligining with orthogonal planes. In these pictures, some of small areas are not squares. But I need squares, and this may be easier.

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