hmm.
I really do not understand you.
First which West architecture?
as engineer I give you 2 temples,
St Marco in Venice
Notre Dame in Paris,
what common have except they are temples?
what West architecture?
there are 3 major tottaly different Architectonical styles in the West.
so be more specific,
the Gothic style with nose roofs,
the Italian style like St Marco and St Peter pre or close to baroque,
the far North West style with wood and iron like net or nerves as in Notre dame paris
etc etc
I link photos to understand the diferences
http://www.sights-and-culture.com/London/Westminster-Abbey-4141.jpg
http://www.blugoldmarchingband.com/images/basilica-san-marco-venice_12561.jpg
http://static.panoramio.com/photos/large/3907183.jpg
now lets see the byzantine style
http://3.bp.blogspot.com/_IRDXD-2K_YA/S9lC05CQdXI/AAAAAAAAAAc/BPCMa-rlX-U/s1600/hagiasophia2.jpg
http://static3.depositphotos.com/10...photos_2127965-Byzantine-Church-in-Fodele.jpg
some slavic
http://upload.wikimedia.org/wikipedia/commons/d/d0/Pokrovsky_Monastery_(Kiev)_Pokrov_Church.jpg
http://www.jesus-is-savior.com/False Religions/Russian_Orthodox/st_basils_cathedral.jpg
as you see the architecture of temples is not divided in Catholic and orthodox,
but in style, materials, and the engineering methods,
except the common basilica, which is based upon Roman court buildings,
all the rest are according different criteria, mainly based in geographical area,
and not in believes.