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I could make an extremely high resolution 3d model or move that model to a very precious location on the viewport.

While using a 480x640 screen .

I don't think they are both related in terms of being accurate. It does help with being efficient while doing it though

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100% , but without typing floating point values to move vertices, etc. , a low res monitor gate's your movements into fewer discrete steps than a high res one since you will only be able to move the mouse 640 horizontal steps, and 480 vertical ones. Its impossible to move a mouse at the sub pixel level

A pixel is a pixel. Big screen or little screen, high resolution or low resolution, you can zoom in and work at the pixel level. Big, high resolution screens just make it easier because you can see more while zoomed in.

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Correct but a display size doesn't translate to a desktop size. I could only have 640 horizontal steps but if I'm zoomed to a region of desktop which could be 1920x1080 then I'm increasing the accuracy of what I can do the further in I go.

I know it's stupid example and I know what you mean. However it is possible to do high precision in low resolution.

Also you can also use software to change the influence amount that one pixel.of mouse movement translates to within the application. (Sensitivity)

For sure. At any dolly level though, if you zoom in on low vs high res monitors, the higher res screen will always have more precision before the cameras near clip pane prevents seeing what elements you are moving (and at the highest zoom level, the higher screen has more steps available to move around) 🤣😂🤣

God I love how pointless my post and arguments are in this 2023 tech space, but everyone knows when the shot hits the theater, everyone will know that lack of .0001 mm will ruin the entire film 😂

Almost, but if you zoom in to the model on a lower resolution screen, you are still hindered by fewer available spaces for the mouse to move when at the limits of the near clipping plane of the camera. The size of the screen doesn't matter.

To take it to extremes, at the exact point before a surface disappears "behind" the dollied camera, having a denser pixel grid of 3840x2160 (8.3 million) pixels to move vertices within, is better than a monitor of the same size thats limiting you to 80x60 (4800 pixels). The whole film will be ruined if that vertex is off .00006mm 🤣