REGULAR FOUR-ÜIMENSIONAL HYPERSOLIDS. 15 



List of the 120 vertices of the 600-cell, 



A, B, C, D, 

 A',B',C',D', 



{AB), {AC), {AI)), {BC), {BB), {CM), 



{A^), {A^,), (j;, {B^), {BJ, {B^), {C^), {C^), (6;;, {D^), {B^^), {B^,), 



U,), (A']x {A\^),{B'^), {B^X {B^^), {C'^), (r/j, (6" J, {B'^), {B\), {B'^), 



{/B), {AB\{.fC), (AC), {JB), {JB), {B'O, {BC\ {B'B), {BB\ {& B), CCI)\ 



A ,B ,C ,B , 



r 1 1 1 



{A^), {Ay), {AS), {Ba), {By), {Bè), {Ca), {Cfi), {Ce), {Bu), {B(2), {Dy), 



^' ^.,' ^,' '^i' 



{u(iX (u0\ (uy), {a.y\ {aè\ («ƒ), (/S'y), i(iy\ (^'^\ i(2f\ (yS), {yf), 



(«y), (y„p, («'p, {(2'J, (/3'J, (^',), {y'J, {y'^\ (7^), (^'J, C^V' ^'^'r^' 



(V' ^^)' (^^)' (^^^' ^K^^ (/3,), (yj, (7^), (7,), (JJ, (J^), (cJ^), 

 (^/S), («7), («'3), (/Sy), (/3J), (7J), 



«'7 /3', 7', J', 

 as, /3, 7, CÎ. 



List of vertical points of sections. 



Diaffiam I. 



-G^ 



A', B' , C' , B' , 



CD (7) (8) 



A{A ) . /} (j? ), C (C ), yj (Z) ), 



{AB) A ,{AC) A , {AB) A , {BC) B, {BB) B, {CD) C, 



a (G) r/ ( 5 ) " ( 4 ) « " " 



{AB) B ,{AC) C , {AB) B ,{BC) C, {BB) B, {CD) B. 



^ 'a (11)^ 'a (VI)' ^ 'a (10) ^ 'a ^ a ^ 'a 



Diagram II. 



{AB)^^^, {AC)^^^, {AB)^^^, {BO, {BB), {CB), 



The small numbers between brackets refer to the numbered points in the 

 diagrams. 



