220px-Hypercube.svg[1](1)

An experiment with central projection of 4D Latin cross and 4D five-pointed star

                                                                                                                                                                                                                                                                                               

The central projection of a hypercube (tesseract) is the basis of the central projection of 4D Latin cross and 4D five-pointed star.        

Tesseract has eight cubes : the large cube, the small interior cube, and six haxahedrons (distorted cubes) surrounding the small interior cube.  (2)

Analogously has the the 4D Latin cross : the large Latin cross, the small interior Latin cross, and 10 hexahedrons and 2 distorted quaders surrounding the small interior Latin cross.

Similarly has the 4D five-pointed star : the large five-pointed star, the small interior five-pointed star, and 10 hexahedrons and 10 truncated prisms surrounding the small interior five-pointed star.

3D zometool and wire-frame models of 4D Latin cross and 4D five-pointed star have been made.

 

 

(1)   Picture of hypercube from Wikipedia

(2)  Clifford A. Pickover (1999) Surfing through hyperspace. New York: Oxford University Press. page 90   

 

Povezava...

 
 
  Site Map