Length, Width, and Height of an Impossible Object

Mathematica is a very nice tool for building three-dimensional objects and to observe them from different viewpoints. From certain viewpoints, some objects look impossible. This Demonstration shows such an object, which is made of square beams that are perpendicular to each another. Can you give the object's length, width, and height? Can you find other viewpoints from which this object seems to be impossible?

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

Snapshot 1: elementary block of construction
Snapshots 2 and 3: fragments of perpendicular beams
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