Artifact
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A more detailed 256 k image of this painting.
Gofix, a
4-D star
polytope
Quadpods
The
Starship
Yendred
Gielo
& Elm.
After a very long journey the Starship Yendred arrives at a gas giant (Gielo) with an earth like moon (Elm). At the L-5 point of these bodies they find an artifact. Scout ships are dispatched to investigate . . . . 

Bibliography
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The best book I know to introduce the idea of 4 spatial dimensions is Edwin Abbot's Flatland, published by Dover Books.
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In the same spirit as Flatland is A. K. Dewdney's The Planiverse, published by Pocket Books, a division of Simon & Schuster, Inc.
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A good book on 2, 3, 4 & more dimensional objects is H. S. M. Coxeter's Regular Polytopes, published by Dover Books.
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A great book on 3 dimensional polytopes (aka polyhedra) is Alan Holden's Shapes, Space and Symmetry, published by Dover Books.
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Outside Web Links
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Flatland The Film
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Jonathan Bower's cross sections of polychora.
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George Olshevsky's polychora page- George coined the term "polychora". In 2 dimensions you have polygons (many edges), in 3 polyhedra (many faces), and 4 dimensional polytopes are called polychora (many rooms).
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Mark Newbold's Star Polytope Slicer
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Online version of Abbot's Flatland
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The Nine Planets
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Extra Solar Planets.
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