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