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.
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
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Posted by Bractals
on 2005-08-27 15:41:12 |