Polygonizer fails to polygonize simple input

[strk]

Input:

LINESTRING(0 0, 4 0, 5 3, 4 6)
LINESTRING(4 6, 6 6, 5 3, 6 0, 10 0, 5 10, 0 0)
LINESTRING(4 0, 6 0)

Output: EMPTY

Note you also get EMPTY output w/out the third linestring

[strk]

diagram of the input

[strk]

The third linestring is the middle one on the bottom

[strk]

Alright my WKT wasn't correctly noded. The nodes are (4,0), (4,3) and (6,0). Passing correctly noded input gives the correct answer, which is the "A"-looking polygon, the polygon covering the southbound triangle hole and the polygon covering the small northbound triangle at the bottom.

 GEOMETRYCOLLECTION(POLYGON((4 0,0 0,5 10,10 0,6 0,5 3,4 0),(5 3,6 6,4 6,5 3)),POLYGON((4 0,5 3,6 0,4 0)),POLYGON((5 3,4 6,6 6,5 3)))