The different planets (that form the Twelve Colonies) are named after the zodiac signs. Caprica would be Capricorn; the Tauron would be Taurus; Gemenon would be Gemini; and so on. Although not mentioned, the other colonies are Aerilon, Aquaria, Canceron, Leonis, Libran, Picon, Sagittaron, Scorpia, and Virgon.
The first symbol that appears on Zoe's interactive paper screen is the symbol for infinity (a figure 8 on its side), which Zoe traces. When she taps it, 12 signs appear in a circle surrounding it. One symbol appears to be the capital letter Delta (a triangle) - the fourth letter of the Greek alphabet. Another looks like the symbol for Aquarius, with bullets added on the right hand side. A third symbol looks like the Greek letter Psi with one additional downward stroke; it could also be based on the trident - the symbol for the planet Neptune.
When Zoe taps each symbol, it appears in the middle of the circle. The sequence seems to read right to left; the first symbol tapped shifts to the right as each subsequent symbol is added. The last symbol added is the one that looks like Psi or a trident. These symbols protect access to Zoe's computer program/avatar. After Zoe taps the fourth symbol, she is given access and can interact with her avatar via her holoband.