SIXTY SQUARE SPHERE Tales from the Borough of Before · A Song Cycle in Two Acts
the first panel of a trilogy with Domes All The Way Up and The City of Record
©2026 John F. Sendelbach
THE TRILOGY 60 Square Sphere · Domes All The Way Up · The City of Record
A coherent philosophical trilogy rendered as three interlocking concept albums: creation, knowing, and power. John F. Sendelbach's triptych takes one precise distinction and rotates it through three registers. Formal membership in a solution set is observer-independent once the rules are fixed; material realization is a separate historical act of selection, fabrication, and maintenance. The work terminates; the generative procedure does not. That spine-phrase and the paired stamps "Still There / Temporarily Elsewhere" run through all three panels like a shared ledger.
First panel — the ontology of the unbuilt. 60 Square Sphere begins in the hands: thirty years of geodesic construction, and the discovery that a finite expansion rule generates an indefinitely extensible family of determined-but-unrealized configurations. Thirty openings are polite but insufficient; ninety self-obstruct; sixty is judged enough under explicit criteria. The Borough of Before dramatizes the gap between formal availability and material realization — and refuses to collapse it, leaving open whether formal membership already constitutes a mode of existence while insisting the distinction itself is exact.
Second panel — the epistemology of the edge. Domes All The Way Up turns the same distinction from making to knowing. Maybe Beeches and Poppy Crevasse walk a gallery of painted skies — Rowbotham's canal, Teed's inside-out sphere, Ada Ledger's turtles, Quixote's refusal to learn, and the Oxford footpath where Tolkien answers Lewis. There is no last dome, no bottom turtle, no final Actually. The regress is not a trap but the condition of flight: sub-creation redeems the painting of skies at the lip of the Don't-Know. The falling becomes flying; an answer would end the maker.
Third panel — the politics of the filter. The City of Record asks who decides which formally available things get realized, maintained, and recorded — and which get stamped ELSEWHERE. Vane the Archivist is no cartoon villain; he is the decent person who mistakes the map for the territory. At 03:17:42 the coordinate system inverts: nothing is created or destroyed, it only changes place. Then comes the hard turn the whole trilogy was built to reach — possibility is not maintenance. A door technically open is not a door gained. Recognition is where the work begins, not where it ends.
The three albums share more than a closing line. Motifs, characters, and procedural logic cross-pollinate, and each is explicitly AI-rendered under human direction — naming the instrument because the method enacts the thesis: the compositions were formally available in the regime the maker set; the AI supplied realization the way a session band realizes a chart. The songs remain portable. That is not defensive; it is the trilogy demonstrating itself.
It establishes that, inside a sufficiently specified system, "not yet discovered" is not the same as "not determined," that the seeking has no floor and this is mercy, and that the gap between the admissible and the maintained is the space where care and justice actually live. The beautiful unfinished world is the only true one. Still there. Temporarily elsewhere. The work terminates for the night; the procedure does not.
ARTIST'S STATEMENT: SIXTY SQUARE SPHERE
This cycle did not begin as music. It began thirty years ago, with my hands. For three decades I have built geodesic structures—cutting members, bolting joints, learning by failure and repetition the exact grammar of how struts and faces resolve into closed, standing form. That long apprenticeship was not, I now understand, only the building of objects. It was the building of a regime—a constraint system learned so deeply that its rules lived in the hand before they were ever stated as rules. And within the last year, from inside that regime, a consequence became visible that had been waiting there the whole time: that the expansion of a polyhedron’s edges has no natural end. Every completed edge is another candidate opening. The procedure does not contain its own stop. I did not invent this. I discovered it—which, as this cycle will insist, is a different act.
Then, separately, along a different line of thought entirely, I found myself turning over the old question of parallel worlds—of variations that might “exist somewhere somehow.” I worked it back and forth until, one day, the obvious struck: the two things were the same thing. A finite rule generating an endless family of determined-but-unbuilt configurations is the possibility-space structure, rebuilt in steel. The metaphysics I had been chasing in the abstract, I had been holding in my hands for thirty years. This album is what happened when I overlaid the one onto the other and pulled the result up into the register of the song cycles that raised me—the ones that hide a rigorous architecture under a surface that rewards decoding but never demands it.

