The Name
and the Mark

Logarchéon Inc. · U.S. trademark application Serial No. 99406836

01

The Name

The name was coined from a single verse read in Greek:

Εν αρχη̆ ην ο Λογος

John 1:1 — in the beginning was the word

“In the beginning [archē] was the Word [Logos].”

All three elements of the name were extracted simultaneously from this verse and its immediate Johannine context — the verse did not merely illustrate a name already chosen; it generated it:

Log–  —  Logos (Λογος), the Word: directly from John 1:1. John 8:12: “I am the light of the world.” Genesis 1:3: “God said, Let there be light.” The Word precedes the light; the light points back to the Word.

–arch–  —  Archē (αρχη̆, archē), the first word of John 1:1 in Greek: “In the beginning” — meaning beginning, first principle, origin. The same root as archangel, architect, archive. And simultaneously Ark (Latin arca): three arks nested — Noah’s ark (arca Noe), the Ark of the Covenant (arca foederis), and Mary as the new Ark of the Covenant, type of the Church. The h holds both readings open. (Archē, ἀρχή, is a different word from ἄρχων, archōn — ruler or magistrate — a different vowel, a different meaning entirely.)

–eon  —  Aiōn (αιών, aiοn): age, era, eternity — the eternal Word, the span of all time. It also resonates with covenant: each ark is a vessel of God’s abiding promise, and the Ark of the Covenant (arca foederis) bears the word covenant at its heart.

The same verse that generated the name also contains the full arc of the theology behind it. John 1:1 opens, as Genesis 1:1 does, with In the beginning (ἀρχή) — the Word (Logos) was there before all things; through the Word came light (John 1:3–5); the Word became flesh and dwelt among us (John 1:14) — the eternal tabernacling, the true Ark among his people, through all ages (aiοn).

Log (Logos — the Word)  +  arch (Archē — the Beginning  /  Arca — the Ark)  +  eon (Aiοn — Eternity  /  Covenant)
All three from one verse — John 1:1 in Greek — founded 2025. The name is not branding. It is a commitment.

02

The Mark

The eight-pointed star was not chosen decoratively. It began with the Rorate Mass — the Advent votive Mass named for its opening antiphon, Rorate caeli desuper, "Drop down dew, ye heavens." Its symbolism, songs, prayers, and readings all center on the Annunciation as the moment Christ's light entered the world from heaven through Mary, and the Mass is timed to coincide with the rising sun, celebrated by candlelight in the dark hour before dawn. Poland's King Sigismund I loved it enough to build a dedicated chapel where it could be celebrated daily, year-round. As Roy Rasmussen writes, paraphrasing St. Augustine, the symbolism carries a double reminder: the sun points us to the One who made it, and the Sun points us to the Son. The predawn vigil also unites the faithful to Mary's own nine-month anticipation of her Son's birth, and recalls her title "Morning Star" — the image of Venus heralding the sun's rise. The National Shrine of Our Lady of Champion, the shrine this whole mark eventually circles back to, still celebrates a Rorate Mass every Advent. It was that symbolism — those songs, prayers, and readings — that set this design in motion: an eight-pointed star, worked out from Venus as Mary's Morning Star, until the geometry underneath it declared itself.

Logarchéon eight-pointed star mark
The Logarchéon mark · U.S. Trademark Serial 99406836

And the direction matters as much as the count. Most radiating star emblems send their rays outward from the center — lines leaving, pointing away. This mark does the opposite: its lines are drawn to gather inward, leading the eye back toward the center rather than away from it. That reversal carries the whole point. Outward is the gesture of assertion; inward is the gesture of return — everything finding its way back to the Word, the Logos this whole name begins from, and to the light of the Son at the center of it. The gathering is twofold, the way water gathers: streams and rivers don't radiate outward from the sea, they run inward into it, each finding the same ocean by a different course. That is also Mary's part in this — we pray to her, and by that same inward motion, the Son's light, which came into the world through her at the Annunciation and which the Rorate Mass re-enacts every Advent dawn, arrives back to us. The star sends nothing away from itself. It shows everything finding its way home.

The resonance — Earth's year runs 365.256 days; Venus's synodic period runs 583.92 days. Eight Earth years (2,921.9 days) very nearly equal five Venus synodic periods (2,919.6 days), which very nearly equal thirteen Venus sidereal years (2,921.1 days) — three ways of counting time converging on the same span to within a few days. That 5:8:13 triple, consecutive terms of the Fibonacci sequence, is the resonance under every figure this mark draws on: whatever Venus traces against Earth or the Sun returns fivefold, eightfold, or both.

Earth-centered — Over eight years, Venus and the Sun align ten times as seen from Earth: five inferior conjunctions, when Venus passes between Earth and the Sun, and five superior conjunctions, when Venus passes behind it. Plotted against the zodiac, the five inferior conjunctions land 216° apart in sequence — the exact spacing that draws a five-pointed star rather than a pentagon. The five superior conjunctions do the same, rotated some 36° from the first set, tracing a second star around it. Five points also carries the Five Wounds of Christ, and the same five wounds impressed on St. Francis at La Verna — read this way, the Earth-centered star becomes the Mary–Jesus correspondence at the heart of the Rorate Mass: Christ's light received through Mary, borne to Earth, marked fivefold. This rhythm isn't a modern discovery, either — the Maya tracked Venus with enough precision to correct for the drift in its cycle over a 104-year span, encoded in the Dresden Codex's Venus tables. Today the geocentric pattern also goes by two informal names: the pentagram of Venus, or simply its petals. (EarthSky · Aldana 2016)

Sun-centered — This is Copernicus's own frame: the heliocentric system that gives astronomy's canonical description of the actual motion, rather than the pentagram's geocentric record of how Venus merely appears from here. Move the center to the Sun and the eightfold face appears — fittingly, since the Sun is also, in the oldest pun available to a Catholic astronomer, the Son. Mark Earth's position once a year for eight years and the points fall a plain 45° apart. Mark Venus's position at those same eight instants, and because eight years sits so close to thirteen Venus years, each sample has carried Venus roughly 225° further around its own orbit — not a clean fraction of 360°. Connect the eight points and an eight-pointed star appears in place of an octagon. Centered on the Sun, Venus outlines the Son's own geometry against it. (Scafetta 2014, Fig. 1A)

And it closes the circle on this whole mark: the National Shrine of Our Lady of Champion — where the Rorate Mass is celebrated every Advent, and where this entire design began. The shrine grounds sit beside the Kewaunee River itself, which runs along the property and crosses near the Chapel of Our Lady of Good Help Cemetery just south of the grounds. One more layer closes on itself here: since 2013, the Sovereign Military Order of Malta — the Knights and Dames of the oldest surviving chivalric order in Christendom, direct heirs of the Knights Hospitaller of St. John of Jerusalem, founded c. 1113 AD — have made this shrine their own. From a first visit by members of the Federal Association in 2013, the relationship deepened into a joint annual pilgrimage attended each August by all three American Associations of the Order; in 2019 the Order established a permanent Hospitality and First Aid Center on the grounds; and in 2023 Grand Master Fra' John Dunlap attended in person — the Order's tenth annual pilgrimage. Bishop David Ricken, who formally approved the apparition in 2010 and is himself a Conventual Chaplain of the Order, called their commitment "a strong testament to the efficacy of their faith and works." The Rorate Mass is thus celebrated at a shrine actively tended by the heirs of a crusading order whose own seals, as traced above, once bore the same Agnus Dei, the same radiating stars, the same X-form cross. The shrine that gave this mark its Morning Star sits, quite literally, at the water — and the oldest order of chivalric knighthood in the Church has been coming to it, every summer, since. (Order of Malta Hospitality Center)

Sources: Roy Rasmussen, "Celebrating the Annunciation and Honoring Mary during Advent," On Mission (National Shrine of Our Lady of Champion / Diocese of Green Bay), Dec. 2025 · Guy Ottewell, "The 5 Petals of Venus and Its 8-Year Cycle," EarthSky, Jan. 22, 2023 · Gerardo Aldana, "Discovering Discovery: Chich'en Itza, the Dresden Codex Venus Table and 10th Century Mayan Astronomical Innovation," Culture and Cosmos (2016), via UC eScholarship · Nicola Scafetta, "The Complex Planetary Synchronization Structure of the Solar System," International Journal of Modern Physics D (2014), Fig. 1A · Templar Seals (SMOTJ, 2023), pp. 5–9 · Order of Malta Hospitality Center, orderofmaltahospitalitycenter.org.