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A Matter of Perspective (Posted on 2005-08-27) Difficulty: 3 of 5
The goal is to continue a perspective drawing of a floor tiled with congruent square tiles. Specifically, let XY be a horizontal line representing the horizon of the perspective drawing. Let ABCD be one of the square tiles in the foreground, with A nearest the viewer, B on the line XA, D on the line YA, and C the intersection of lines XD and YB. Show how to construct the tile next to ABCD with side BC in common with tile ABCD.

  Submitted by McWorter    
Rating: 4.0000 (2 votes)
Solution: (Hide)
All diagonals of tiles parallel to AC meet at a point Z, the intersection of XY with AC, on the horizon XY. Let C' be the intersection of ZB and XD and let B' be the intersection of YC' and AX. Then BB'C'C is the perspective image of the floor tile next to ABCD with common side BC.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: My WayRichard2005-08-29 18:36:12
Another similar solutionTristan2005-08-28 04:09:03
re: My WayMcWorter2005-08-28 02:19:04
re(2): SolutionBractals2005-08-27 22:49:58
My WayRichard2005-08-27 22:14:22
re: No SubjectMcWorter2005-08-27 19:15:29
SolutionNo SubjectKen Haley2005-08-27 18:50:41
re: SolutionCharlie2005-08-27 17:35:52
SolutionBractals2005-08-27 15:41:12
solution...sort ofEmily2005-08-27 15:27:10
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