Stairs on a curved surface, Sky Mountain by Sou Fujimoto

Hello Friends!
Can anyone please tell me how can I recreate this staircase by using Grasshopper? I have built the curved roof in Rhino 7 and the staircase is challenging. I tried to use extrude function in rhino to build the staircase, however, the staircase I build is not parallel to the ground plane, instead it always parallel to the curved roof, in reality is not walkable.

Does anyone has any ideas on how to build it in Grasshopper? Thank you in advance!

Stair (26.1 KB)
I am sure you can cut away the rest of the stairs so it looks more organic.

Just add another surface there.

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