Impossible Objects

These figures seem plausible at first sight, but further inpection reveals they cannot possibly exist in three dimensions.

The artist M.C.Escher made use of such geometries to construct a series of impossible landscapes

 

 

 
 
   
 
 

What is wrong with this triangle?

Use the arrow keys or click and drag the mouse to rotate the shape. F1 and F2 will change its size.

How many different positions can you find that appear to make an impossible triangle?

This crate appears to defy space These steps just go on forever! Can this pyramid really exist?
Try extending the sides upwards!

Anyone for impossible cricket?

You would have trouble
printing with this block.
This curved surface would defy the most skilful panel beater