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show polyhedron in an interact

Hi, I am trying to write an interact which lets the user enter a list of vertices and then shows the corresponding polyhedron.

My first attempt is the following. The problem is that Sage does not show the polyhedron.

def _(t1=text_control("Polyhedron"), vertices="[[1,0],[0,1],[0,0]]"):

Does anybody know how to fix this?