258 
Proceedings of the Eoyal Society of Edinburgh. [Sess. 
Table IV. — Lengths of Edges of the Projection of the 600-cell. 
Joining 
Zones. 
No. of 
Edges. 
Length of Edge, when— 
Edge of 
600-cell = 30. 
Radius of Circumscri 
= 30. 
ibed Hypersphere 
= 1. 
- B to - 
B 
30 
6(5 - e) 
6(3e— 5) 
0-3416 
-o „ - 
C 
30 
20 
10(e-l) 
0-4120 
-C „ - 
•D 
60 
10(e-l)V3 
10(3 - e)V3 
0-4411 
E „ 
E 
60 
30 
15(e - 1) 
0-6180 
B „ 
C 
60 
6e\/10 + 2e 
6e\/10 - 2e 
1*0515 
G „ 
C 
30 
60 
30(e - 1) 
1-2361 
B „ 
B 
30 
30(3 -fe) 
30(e + 1) 
3-2361 
B „ 
A 
12 
oo 
00 
00 
-A „ - 
B 
12 
3\/10(5 - e) 
6eV5 - 2e 
0-3249 
-B „ - 
C 
60 
2e\/6(5 - e) 
4 VI 5(5 -2e) 
0-3752 
-B „ - 
D 
12 
12e\/5 - 2e 
6e 50 — 22e 
0-4016 
-c „ 
E 
60 
10V6 
5(e — l)V6~ 
0-5046 
-D „ 
E 
60 
15(e-l)V2 
15(3 - e)V2 
0-5402 
-B „ 
D 
12 
6eVlO-2e 
12eV5-2e 
0-6498 
E „ 
D 
60 
6e\/5 + e 
6eV& - e 
0-7435 
E „ 
C 
60 
30V2 
15(e - 1)V2 
0-8740 
D „ 
B 
12 
12e\/5 + 2e 
6eV10 + 2e 
1-7013 
0 „ 
B 
60 
30(1 + e) 
60 
2-0000 
The accompanying plate represents a symmetrical orthogonal plane 
projection of the three-dimensional projection on exactly \ the scale of the 
model. Zones B and — B are in black, C and — C are in red, and E is in 
blue. The vertices are denoted as in the text, but for compactness the 
“ minus ” is put as a mark over the letter or number. 
{Issued separately September 29, 1914.) 
