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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.

See The Solution Submitted by McWorter    
Rating: 4.0000 (2 votes)

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Solution | Comment 2 of 10 |
 
Let E be the intersection of AC and BD.
Let F be the intersection of BY and EX.
Let G be the intersection of DF and AX.
BY, BX, GY, and DX define the sides of
the new tile.
 

Edited on August 28, 2005, 2:21 am
  Posted by Bractals on 2005-08-27 15:41:12

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