Good Metaphors for Understanding the Trinity?

How can you best understand the nature of the Father-the Son-and the Holy Spirit as Trinity? What metaphor best reflects the nature of the trinity?

Obviously being a metaphor, all of these is limited, because God is spiritual , holy, and transcendent. (He is the I AM) However here are a couple:

H2O/Water: Water can be a liquid, a solid (ice), or a vapor (steam).

Egg: it has multiple component parts: the shell, the yoke, and the white part.

Light: is both a particle and a wave.

This quote from Got Answers describes the different roles of each respective part of the Trinity:

The individual members of the Trinity have different tasks. The Father is the ultimate source or cause of the universe (1 Corinthians 8:6; Revelation 4:11); divine revelation (Revelation 1:1); salvation (John 3:16-17); and Jesus’ human works (John 5:17; 14:10). The Father initiates all of these things.

The Son is the agent through whom the Father does the following works: the creation and maintenance of the universe (1 Corinthians 8:6; John 1:3; Colossians 1:16-17); divine revelation (John 1:1, 16:12-15; Matthew 11:27; Revelation 1:1); and salvation (2 Corinthians 5:19; Matthew 1:21; John 4:42). The Father does all these things through the Son, who functions as His agent.

The Holy Spirit is the means by whom the Father does the following works: creation and maintenance of the universe (Genesis 1:2; Job 26:13; Psalm 104:30); divine revelation (John 16:12-15; Ephesians 3:5; 2 Peter 1:21); salvation (John 3:6; Titus 3:5; 1 Peter 1:2); and Jesus’ works (Isaiah 61:1; Acts 10:38). Thus, the Father does all these things by the power of the Holy Spirit.

What is the best metaphor or analogy for describing the nature of the Trinity?

Systematic Christianity suggests the Trinity is like a family. To learn more about the trinity I would suggest Got Answers “What does the Bible Teach About Trinity?”