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Mazes on a Cube Given by Six Views

Flatten
:Nonatomic expression expected at position 1 in Flatten[8].
Part
:Part 1 of {} does not exist.
Part
:Part 1 of {} does not exist.
Intersection
:Heads Part and List at positions 2 and 1 are expected to be the same.
Part
:Part 1 of {} does not exist.
General
:Further output of Part::partw will be suppressed during this calculation.
Part
:The expression 0.375 cannot be used as a part specification.
Part
:The expression 0.375 cannot be used as a part specification.
Part
:The expression Graph[{{Integer[]}},CircularEmbedding[{}1]] cannot be used as a part specification.
General
:Further output of Part::pkspec1 will be suppressed during this calculation.
Transpose
:The first two levels of
,
,
,ShortestPath[Point[{}],Point[{}],Point[{}]] cannot be transposed.
Part
:Part specification 0.3751 is longer than depth of object.
Part
:Part specification (-0.125)1 is longer than depth of object.
Part
:Part specification (-0.375)1 is longer than depth of object.
General
:Further output of Part::partd will be suppressed during this calculation.
A maze is drawn on a cube and six views are given:
front
back
left
right
top
bottom
Find the length of the shortest path from the black to the gray point without crossing any red barriers.
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