Three way switch confusion

I'm new to electrical here. My father is experienced but stumped as well helping us install recessed lighting and a ceiling fan. We have two four-gang switches to control the three rows of lights and fan from either side of room. We followed this diagram:

https://www.google.com/search?q=wiring+3+way+switch&client=safari&hl=en-us&prmd=isvn&tbm=isch&tbo=u&source=univ&fir=8M616FiEqVy1_M%253A%252CBKKSsfQxBWtmSM%252C_%253BNjGm7a6tuG2HHM%253A%252CVLSU4zlyOkLCZM%252C_%253BJi9Gb5NMFn7kcM%253A%252C9dUbWyuanKdYsM%252C_%253B4a_JkuHNL-HnEM%253A%252CVLSU4zlyOkLCZM%252C_%253BUg9iIyZEXmZJDM%253A%252CeZB7nrZQM-2GsM%252C_%253Bt6S0-ABOQBZCBM%253A%252CeZB7nrZQM-2GsM%252C_%253BTCHm65oBRxB22M%253A%252CBKKSsfQxBWtmSM%252C_%253B3Z4Ct83GyIDbbM%253A%252CVLSU4zlyOkLCZM%252C_%253BnsHV8a4XURi1PM%253A%252CawOwJDxgeYCfxM%252C_%253BB8z5OExHrZkeKM%253A%252Cx-IOxtiKVXZF2M%252C_&usg=__tTuO99BeRSy5gTsvdVKR80DFIt4%3D&sa=X&ved=0ahUKEwjO_fv7hejUAhVn64MKHdohDhUQ7AkIMQ&biw=375&bih=628&dpr=2#imgdii=xSJJTBiRTWHYnM:&imgrc=8M616FiEqVy1_M:

When we test everything, each row of lights turns on and off correctly from either switch. The fan wiring however is always on. ( the fan itself is not installed yet, but the wiring hanging from the ceiling is constantly hot when checked.) We've tried a different identical switch but same result.

Help? Suggestions? Thanks