Impossible Figure: TripleTribar

It took me quite some time to figure out how to carry a scale factor with me from the outer tribar to the inner. I will talk about this below the image.

TripleTribar
TripleTribar_00_23_01
2013-11-28
Linework | Fillwork

You can travel infinitely in any direction by walking through this figure.

As it was drawn with an equal distance between all vanishing points, as I have been doing for a while now, some interesting geometrical things happened. I tried to find where on the outer tribar the inner should be anchored, and while plotting several inner tribars I tried to figure out some kind of relationship.

TripleTribar_GeometryWhat I finally found was that the intersections of the lines for the outside of the inner tribars all lined up on a circle. To my surprise this circle had the exact same size as a circle crossing through all vanishing points, and it would intersect the center of the tribars which was what I looked for. It also crossed through the absolute center of the vanishing points! Phew!

About Andreas Aronsson

Professional app- & web-developer. Spare time multimedia experimenter, VR-enthusiast, motorcyclist. In Sweden.
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