How can I check whether two diagrams show the same space from different viewpoints?

Treat it as a consistency check, not a hunt for identical-looking shapes. First mark features that seem fixed in the space: for example, a doorway, a square column, or a distinctive window. Then compare the relationships among them. Is the column beside the doorway? Does the window lie beyond both, or between them? Architectural design work considers multiple views of one building and how the perception of its parts changes with vantage point and orientation; relationships among parts can also help when comparing views. [S1]

A different viewpoint can change how parts are perceived, so do not require features to look identical in both diagrams. A stronger match is one in which several recognizable landmarks have compatible relationships. The cited architectural-design material supports considering viewpoints and relationships, but it does not give a universal matching procedure or a rule for settling every ambiguous case. [S1]

Make your own temporary labels, using neutral names such as A, B, and C. Choose distinctive features that appear fixed: a doorway, a corner, a column, or a large window. Avoid starting with furniture or other objects that might have moved unless the puzzle tells you they are fixed.

For each view, write down a few relationships in plain language: “A is next to B,” “C appears beyond B in this view,” or “A and C are on opposite sides of B.” Keep viewpoint-dependent statements qualified: “C appears behind B in View 1” is safer than declaring that C is physically behind B. Compare relationships that can be identified in both views, and use apparent ordering as supporting evidence. If a feature is hidden in one view, mark it “not visible,” not “absent.”

Assume these are simplified, fictional sketches of a room. The labels name fixed features, and “left” and “right” are positions on each page, not directions in the room.

View 1, looking from the south: Door A — Column B — Window C

View 2, drawn from another side: Window C — Column B — Door A

The order on the page reverses, but both views place B between A and C, with A and C at opposite ends. Under the stated assumption that the labels refer to the same fixed features, this is consistent with one space seen from different sides. The reversed page order alone is not evidence of a mismatch.

Now suppose View 2 instead reads Window C — Door A — Column B. That arrangement puts A between C and B, which conflicts with the first sketch’s relationship if all three are on the same straight line and the drawings represent that arrangement accurately. Before rejecting the match, check whether one feature is around a corner, the sketch is schematic, or a label was assigned incorrectly. If those possibilities cannot be checked, report the result as uncertain rather than inventing a correction.

Separate what you observe from what you infer. For example: “Both views appear to contain a square column and a doorway. In View 1 the column is drawn between the doorway and window; in View 2 the window is partly obscured. The landmarks may match, but the obscured view does not confirm their full order.”

That note names the evidence and its limit without treating a simplified sketch as a complete account of the space. Recheck that each label refers to the same feature, consider whether the viewpoint or drawing leaves a feature unclear, and identify which relationship remains unresolved. If you have only silhouettes with no distinctive landmarks or shared relationships, the diagrams may not provide enough information for a confident match.