THE STRUCTURES OF 3-DIMENSIONAL MODELS OF THE 120-CELL THE 600—CELL

摘要

The classic《Geometry and the Imagination》by D.Hilbert and S.Cohn-Vossen mentioned 4—dimensional space 120—cell and 600—cell.They are themost complicated two of the regular polytopes in 4—dimensional space.andthey are a pair of conjugate regular polytopes.Their vertex number,edgenumber,face number and 3—dimensional cell number are respectively 600,1200,720,120 and 120,720,1200,600.Owing to people’s limited imagina- tion,it is difficult for people to make the 4—dimensional models.So,up tonow.people fail to watch their complete images.