What a beautiful and touching tribute you give to your dad! Not only was he a remarkable person, but he impacted your life in a way that has shaped you into the person you are today. You have much to be thankful for!
I don't know if the smartest and most intellectual of all human beings that ever lived can grasp the totality of what death means and why it is a fact of life. But God does share with us in his word that he created us because he wants to share an eternal relationship with us. Because of that we can look at our lifetime here on earth as a journey toward reaching that goal. And yet that explanation doesn't remove the pain a person will feel from the loss of a loved one. Even those who love God and believe in his saving grace, still grapple with why death must be a part of our reality. It's moments like this when we need to press in to God and trust in His unfailing love and compassion for us.
Do you have frequent opportunities to talk with someone about your feelings? I hope there are those who can listen and be there for you. It's ok to experience the pain of grief because it's a deep and complicated process and mourning can take a long time to work itself out. Talking helps release the pressures and uncertainties that surround loss, and crying will help do that too. And please try to take care of yourself too. As hard as it might be, getting rest, exercise, and recreation will propel you to move forward. I would be willing to bet your dad would find great joy in knowing you are still embracing life as a gift, and would want to continue cherishing every second you have.
Here is something I would like to pass along to you. It is my hope and prayer it ministers to your heart in a very special way. Please know that my thoughts and prayers are with you.
https://www.youtube.com/watch?v=wYpnWx9gnZs