Second 2014 puzzle. Dissection of a square

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Posted · Report post

Place a point P at coordinates (6, 7) in a square with diagonal vertices (0, 0) and (12, 12).

From P draw lines to the vertices and perpendiculars to the sides.

This defines eight triangles that meet at P.

Ignoring permutation of identical pieces, how many other ways can these triangles form a square?

-1

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Posted (edited) · Report post

In 3D ..

there are two unique positions

AB

CC

=9

or

AC

CB

=16

Edited by TimeSpaceLightForce
0

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Posted (edited) · Report post

post-53237-0-55102000-1388680136_thumb.j

post-53237-0-53606100-1388679706_thumb.j

Edited by TimeSpaceLightForce
0

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