The mandala used by the OHF is a contemporary religious symbol based on the Celtic Cross, the Wiccan circle, and the Asatru Eye of Wodin. Resembling the shape of 10th century Viking earth-works and marks found on Bronze Age altars, the OHF Quadrivium combines the arc, circle, and equilateral cross to evoke a collection of Pagan ideograms - including a warrior's shield, the four transitional phases of the moon, faerie rings, and crossroads.

Latin for "crossroads," or more literally, "four ways," Quadriviums are linked in Western traditions with Hecate - patron Goddess of witchcraft and the Greek sorceress Medea. As Hecate herself presents the three aspects of Maiden, Mother,
and Crone; the Quadrivium also presents travelers with three choices of direction. Also a symbol of dramatic change, including the step between life and death, crossroads are additionally watched over by Hecate as gatekeeper and Hermes as spiritual guide.

Equally significant in African traditions, crossroads often represent a ritual door between the mundane and magickal planes. The central spirits of the Loas "Carrefour" and the Orisha "Eshu/Legba," for example, are strongly associated with crossroads, sorcery, and the gateway between worlds.

Over time, the word "Quadrivium" itself bore conceptual changes. In Medieval Europe, the increasingly less vernacular term came to stand for the more abstract ideas of arithmetic, geometry, music, and astronomy. Together with the "Trivium" of grammar, rhetoric, and logic, the Quadrivium was a major component of the seven classic liberal arts.

In numerology, the Quadrivium is related to the number "four" and the associated trait of practicality. More generally, the number four is used to capture the idea of physical totality - such as the four elements, the four winds, and the four corners of the earth. The four-fold nature of the Quadrivium also closely associates it with its sister symbol - the "square," itself a sign of land, structure, and defended sanctuary.