International Scholarly Research Notices

Research Article

An Explicit Description of Coxeter Homology Complexes

Table 1

Description of the fundamental cells.
Models 𝑚 𝐴 3
𝑚 𝐵 3 		𝑀 𝐴 3
𝑀 𝐵 3 		𝑚 𝐴 4
𝑚 𝐵 4
𝑚 𝐹 4 		𝑚 𝐷 4 𝑀 𝐴 4 ,  𝑀 𝐵 4
𝑀 𝐷 4   𝑀 𝐹 4
# 0-cells 5 6 14 16 24
# 1-cells 5 6 21 24 36
# 2-cells 1 1 9 10 14
# 3-cells 0 0 1 1 1