Python 2, 86 80 76 74 73 bytes

for z in range(24):a=('/'*5+'\\'*5)*24;print((a+a[::-1])*3)[z*60:z*60+60] 

Could probably golf a few more off it but it's a start.

Edit

Saved 6 by removing some unneeded brackets

Another 4 by using a single string and then reversing it

Thanks @Adnan. Had a late night last night and still not fully awake yet :p

-1 by moving the *24 to the variable instead of using it twice