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I want to create single point do not rely on any object using script, but I didn't find corresponding option about this in blender. If we can't do this in blender, I hope to create a plane if its four vertices coordinates were given. How to realize?

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Activate the addon Add Mesh: Extra Objects from Edit -> Preferences -> Add-Ons.

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Then you can add a Single Vert from the Add menu.

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    $\begingroup$ Fun fact, the tooltip says add a single "vertice" which is commonly used, but not actually a word. :) $\endgroup$ Commented Jul 1, 2022 at 15:18
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    $\begingroup$ It says 'Add single Vertice to Edit mode' both in Object and Edit mode here which makes even less sense! :^) $\endgroup$
    – John Eason
    Commented Jul 1, 2022 at 16:52

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