The Beta Trolls, (Or the Twelve Homestuck Trolls that we know of) are a group of heroic trolls who fight for justice and stuff. Each of them represents a Zodiac Sign; the members consist of (From sign 1 to sign 12): Aradia Megido (Aries), Tavros Nitram (Taurus), Sollux Captor (Gemini), Karkat Vantas (Cancer), Nepeta Leijon (Leo), Kanaya Maryam (Virgo), Terezi Pyrope (Libra), Vriska Serket (Scorpio), Equius Zahhak (Sagittarius), Gamzee Makara (Capricorn), Eridan Ampora (Aquarius), and Feferi Peixes (Pisces).
While of them represented a Zodiac Sign, and a set of 3 Zodiac Signs represented 1 element. The team is sometimes divided into subgroups based on the element. Four of them represent a cardinal direction, half of which are leaders of an elemental team, the other half aren't.
Two were formerly villains, those being Gamzee Makara (After being extremely drunk) and Eridan Ampora (After breaking up with Feferi Peixes for some reason), but they felt sympathetic about the other members; they also said they didn't even like being evil in the first place. The latter learned to moderate his feelings and know it's not all about himself while the former learned how to sober up.
The twelve fear Kamen Rider Decade, an imminent threat who rose every December. Kamen Rider Decade specifically sent Galvatron to kill the twelve in June 2019. Decade spared him for now, but if he didn't kill any, he would them again in June 2020, if not sooner, Decade would replace him with Shockwave.
Homestuck Air Team
Sollux Captor (Gemini) (The leader)
Terezi Pyrope (Libra) (West)
Eridan Ampora (Aquarius)
Homestuck Earth Team
Tavros Nitram (Taurus) (The leader)
Kanaya Maryam (Virgo)
Gamzee Makara (Capricorn) (South)
Homestuck Fire Team
Aradia Megido (Aries) (East) (The leader)
Nepeta Leijon (Leo)
Equius Zahhak (Sagittarius)
Homestuck Water Team
Karkat Vantas (Cancer) (North) (The leader) (Leader of all Twelve)
Vriska Serket (Scorpio)
Feferi Peixes (Pisces)
The Cardinal Directions
As you just read, Libra represents the West, Capricorn represents the South, Aries represents the East, and Cancer represents the North. So that means that according to their Zodiac Signs, Terezi Pyrope represents the West, Gamzee Makara represents the South, Aradia Megido represents the East, and Karkat Vantas represents the North.
After that, they settled democracies in different countries. Terezi settled hers in Panama, Gamzee settled his in Peru, Aradia settled hers in China (It's no longer communist! Yay!), and Karkat settled his in Norway prior to giving it to Thor and living with Terezi.