1913-14.] 
Projection-Model of the 600-Cell. 
257 
Table II. — The Edges of the 600-cell. 
(To complete the table (1) perform a cyclic permutation of the numbers 1, 2, 3, 4, 5 in each 
row, keeping 0 unaltered ; (2) change the sign of every number in a row ; (3) change A, B, 0, D 
into - A, — B, - C, - D and vice versa.) 
A joined to each B. 
B 0 joined to A ; B 1, 2, 3, 4, 5 ; C 1, 2, 3, 4, 5 ; D 0. 
1 „ „ A; BO, 2, -3, -4, 5; C-l, 3,4, 3,4; D 1. 
Cl „ „ B 0, 3, 4 ; C 1, 2, 5 ; D 0, 3, 4 ; E 1, 3, 4. 
1 „ „ B- 1,3, 4; Cl, -3,-4; D - 1, 3, 4; El, 13, 14. 
DO „ „ B 0 ; C 1, 2, 3, 4, 5 ; E 1, 2, 3, 4, 5 ; - D 0. 
1 „ „ Bl; C-l, 3,4,3, 4; E 1, 31, 41, 3, 4 ; -Dl. 
El „ „ C 3, 4 ; D 0, 1 ; E 2, 5, 3, 4 ; - D 0, 1 ; - C 3, 4. 
1 „ „ Cl, 1; D 3,4; E3, 4,13,14; -D 3,4; -Cl, 1. 
13 „ „ C 1,-3; D- 1,3; El,- 3, 53, 14; -D-l, 3; -Cl, -3. 
Table III. — Co-ordinates of the Vertices of the 600-cell. Edge = 4. 
(The order of the combinations of sign, corresponding to the vertices going from left to 
right in a row, is + + , 4 — , — f, . To complete the table change all the signs in 
each row.) 
‘ 
X 
y 
z 
X 
y 
z 
A : w=0 
- A : w = 4(e + 1) 
1 ° 
0 
0 
D : w= 2e ; - I) : w= 2e + 4 
B : w=e- 1 ; -B:w=3e + 5 
0, 1 
2, -5 
3, 4 
0 
e + 3 
— (e + 1) 
— (e + 1) 
0 
e + 3 
e + 3 
±(e + l) 
0 
oohoc) 
i 
H 
0 
e + 1 
±2 
+ 2 
0 
e + 1 
e+1 
±2 
0 
E : w = 2(e + 1) 
C : w=e + 1 ; -C : -M? = 3(e+1) 
52 
1 
1 
3, 13,41,- 4 
2,- 3, 5,- 4 
5, 42, 2, 35 
2(e+ 1) 
0 
0 
2 
±(e+l) 
±(e + 3) 
0 
2(e+l) 
0 
±(e + 3) 
2 
±(e + l) 
0 
0 
2(e+ 1) 
±( e + 1) 
± ( e + 3) 
2 
1, 1 
4, 3 
5, -2 
5, 2 
-3,-4 
0 
±2 
e + 3 
±(e+l) 
±(e + l) 
e + 3 
0 
±2 
e+1 
e + 1 
±2 
e + 3 
0 
e + 1 
-(e+1) 
VOL. XXXIV. 
[Table IV. 
17 
