The sideways cross is a symbol of faith in, or hope in, resurrection as promoted in the Christian doctrine. The sideways cross has become a very popular fashion statement lately and has been seen accenting the clavicle of many starlets.
Some Christians believe the sideways cross is a symbol of Jesus’ cross having been taken down. It is down because his feat is completed; his salvation of mankind. In this context, the sideways cross is recognition and appreciation of the sacrifice Jesus made for all mankind.
Another variation of the cross is St. Peter’s Cross. When sentenced to crucifixion, St. Peter did not feel worthy to die the same way Jesus died, so he requested to be crucified upside down. The upside down cross has since been associated with humility.