Forerunner Symbology

Usage:
The exact nature of Forerunner writing remains a mystery. The symbols are most likely logograms, rather than parts of an alphabet or syllabary. There also seems to be more dimensions to Forerunner writing than traditional methods, with the individual glyphs holding multiple meanings, likely making them entirely contextual -- when combined with different glyphs, a symbol might have radically different meanings, making individual glyphs pictograms or ideograms. Other symbols found on Forerunner relics and structures are even less obvious in their meanings. They are obviously decorative in nature, but they are often larger and more elaborate in nature than their glyphs, and may depict specific shapes and forms, and may have more in common with petroglyphs than logograms. It is also speculated that these glyphs are found on covenant luminaries as indicators of forerunner relics, as the reclaimer glyph was seen to represent humans in Contact Harvest.

Symbol Analysis:
The symbols are primarily composed of circles and curves. Each glyph appears to use a circle as a base shape, often combined with either a concentric circle or fragments of one. Another common trait is the presence of one or more circular arcs whose osculating circles' centers lie on the base circle. Non-circular arcs and small non-concentric circles can be seen on some glyphs. The filling in of areas is uncommon but has been seen in Forerunner glyphs. According to Bungie employee Joseph Staten, the blue and red signs denote the safety of the area -- that is, whether or not the Flood are there. Taking a closer look at the symbols, their locations, and what has been said by Bungie, we can deduce the following:


The glowing cyan symbols are found on the control panel in the Halo control room.


The non-glowing cyan symbol is found on the back of higher-ranking Elites.
The yellow symbol is found on the Covenant plasma grenade.
It can be deduced that the purple symbol means Elevator or Lift, most likely, as it is seen above doors leading to elevators.


Above the doors where large Flood storage rooms are, two of the red symbols always appear, which backs up what Staten said about red and green symbols.

Numbers:
Only the Forerunner symbols for numbers one through five are known, though a base symbol with unknown meaning has also been found. It is probable that they also have a symbol for 0, but they may use a base 6 system and not have any more numbers. The base symbol may be the number 0, or the Forerunners may not have had a number zero, though this may be considered unlikely given that advanced mathematics require a symbol for lack of units, which zero represents. The visual features of numerical glyphs differ slightly from those of normal Forerunner glyphs. Like the other glyphs, numerical glyphs use a circle as a base. However, the only features seen on numerical glyphs are concentric circles and arcs, radial lines, and the occasional radial line with a small circle on its end.


Reclaimer:
The Forerunner glyph representing a Reclaimer is identical to the Marathon symbol, although the same symbol is seen on various places throughout Forerunner installations and constructs, including the "eye" of 343 Guilty Spark, as well as the frontal section of an Enforcer. This symbol is also used by humans in various instances, and it is the emblem of the UNSC Pillar of Autumn. It is unknown if this is simply a coincidence, or if there's a relation to their status as Reclaimers.


Undefined Symbol:
A certain symbol exists that has appeared on virtually every Forerunner installation and on the cover of Halo: Ghosts of Onyx. It has been theorized to be either the Forerunner symbol for "Forerunner", or it represents the Halo Array and all of its additional components as a whole, as it can be interpreted as "Shield and Sword", which was a Forerunner analogy, the "Shield" meaning the Shield Worlds, and the "Sword" the Halo installations. It has also been theorized that the symbol would solely represent a Shield World, as the Shield World symbol was described as "double-lobed" in Ghosts of Onyx, and because the symbol appears in the cover of the book.However, this doesn't explain the symbol's frequent appearances on Forerunner facilities completely separate from the Shield Worlds. This symbol appears inside Installation 04's Map room, as well as on Installation 05 in various areas. It also appears on the Ark's surface, if viewed from space. It also makes an appearance in the Terminals throughout the Ark. The symbol also appears on top of a Monitor's "head" and behind the "eye" on the center orb. Curiously, the surface of the Legendary Planet also bears the symbol.


Written Language:
While the Forerunner Language remains a mystery, with only two words known, the writing system they used to convey meaning is far better understood. The Forerunners appear to have used two different writing methods; the first was a system of glyphs, highly contextual in nature, with the meaning of different glyphs altered by order and context, and further meaning could be derived if the reader used more three-dimensional interpretations. The second mode seems to be a more conventional writing system, using two-dimensional characters written vertically. While the glyph system is common to Forerunner relics, the writing system seems to have been used far less frequently, and the only known examples of its use have all been found on Forerunner relics on Installation 00, either inscribed onto stone relics or in holographic form The glyph system has been adopted by the Covenant as religious symbols, and was also used as the basis for their own scripts, despite having little idea as to the true meanings of the original symbols. Humans in general have had little success in translating Forerunner texts, with the notable exception of Doctor Catherine Elizabeth Halsey. There is a possibility that this writing system isn't the Forerunner's but in fact could belong to a more ancient race, known as the Precursors.