Failure of triangulate_faces (pentagrammic prism)

[stla]

Hello,

Here is the pentagrammic prism:

I define it as a mesh by giving 2x5 vertices: the extremities of the two pentagramms, and for the faces, I give the two pentagramms (so there are intersection within each face) and five rectangles (so there are between-intersections).

> vertices
           [,1]       [,2] [,3]
 [1,]  1.000000  0.0000000  0.3
 [2,] -0.809017  0.5877853  0.3
 [3,]  0.309017 -0.9510565  0.3
 [4,]  0.309017  0.9510565  0.3
 [5,] -0.809017 -0.5877853  0.3
 [6,]  1.000000  0.0000000 -0.3
 [7,] -0.809017  0.5877853 -0.3
 [8,]  0.309017 -0.9510565 -0.3
 [9,]  0.309017  0.9510565 -0.3
[10,] -0.809017 -0.5877853 -0.3

> faces
[[1]]
[1] 0 1 2 3 4
[[2]]
[1] 5 6 7 8 9
[[3]]
[1] 0 1 6 5
[[4]]
[1] 1 2 7 6
[[5]]
[1] 2 3 8 7
[[6]]
[1] 3 4 9 8
[[7]]
[1] 4 0 5 9

Then triangulate_faces fails (returns false). Is this failure due to the intersecting edges?