How many 2D objects fit into a 3D object?

Hoe many times can you stack 2D objects before it becomes 3D? I assume stacking 2-dimensional planes alone the 3rd dimension would never actually stack, as along the 3rd dimension, the 2-dimensional planes have a thickness of 0 so i assume adding 2 dimensional objects is like adding 0s so is it technically possible for a set of 2-dimensional objects to be qualitatively similar in size/volume to a 3d object? would an uncountably infinite amount of 2D be enough to reach 3D? or is it simply not possible?

• Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking.
– Community Bot
Mar 7, 2023 at 10:00
• Im asking for how many 2D objects would fit into a 3D one for example, would invite 2D objects stacked become equivalent to 3D in size Mar 7, 2023 at 10:16
• Any 3D shape can be seen as a stack of uncountably infinitely many 2D shapes. Whether one can actually stack uncountably many 2D shapes is more of a philosophy question and depends on what you exactly mean by stack as an action. Mar 7, 2023 at 10:35
• You can fill a 2D region of space with curve (a 1 parameter object) so I guess you may be able to fill a 3D region with a two parameter 'sheet'. This 'sheet' would still exist as a set of points in 3 dimensions though. I would guess the answer is no to stacking (whatever that might mean) 2D objects.
– Paul
Mar 7, 2023 at 11:20
• @Paul by “stacking” imagine placing a 2D plane over another one on a 3rd dimensional direction (like a plane that is perpendicular to the z axis being placed on top of a plane along another identical one along the z direction (assume an x, y, z 3D vector space) i guess its analogous to adding infinite 0s, or how many 0s add up to 1. from what i can see its impossible, but people say uncountably infinite 2D objects would be qualitatively similar to a 3D object in size, i just needed some clarification Mar 8, 2023 at 18:04