looking for the formulas required to generate an augur surface

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Hello,
I need to generate a surface object that describes an auger shape simillar to the one in the picture attached (no need for the cylindrical peice, just the auger shape).
I am able to generate the directory line but not the surface
Googled for the design formuals but no much luck
Any help would be appriciatated.
Thank you

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Sulaymon Eshkabilov
Sulaymon Eshkabilov il 5 Set 2022

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