As mentioned above, in the eternal aspect, He is constantly dying. He is the eternal sacrifice. But for the sake of temporality, the crucifix is a reminder of the sacrifice, first and foremost.
There have been a lot of theories regarding the fact that some people are repelled by the site of the crucifix. Christ, like the serpent in the desert, was raised on a pole to heal the people. He, in mirroring the serpent of Exodus, became sin to bring us salvation. It's been said that those who do not want to look at the cross are really refusing to look at their sins crucified upon Calvary, thus the discomfort and preference for a cross without a corpus.
This is where you err...
Christ is a Risen Lord, he isn't a sacrifice anymore, He WAS the sacrifice.
It was in the resurrection that the promise was fulfilled.
His death on the cross was the proxy for us, we are the ones deserving to be there. But he DIED, not dying!
He is the Lamb of God that WAS Slain... not being slain...
OK, I can see a crucifix being a reminder of the sacrifice... I do not believe Christ wants us to be looking at a image of what you believe to be what He looked like...Unfortunatly, if the crucifix were to be accurate, you need to add the stripes made by the flagellum...not hardly a sight for your eyes. My God does not hang on the cross, he is alive and lives amoung us in His Spirit as he sits on the Bema seat in Heaven.
..."I am the way the truth and the life, no one gets to the Father but by me.." - Jesus
..."1 Timothy 2:5 - For there is one God, and one mediator between God and men, the man Christ Jesus;"...