Entfaltung — Unfolding Emma Kunz into Four Dimensions

Entfaltung is German for unfolding — the development of something already implicit into its fuller form. It names both the method of this new series and its subject: a body of generative work that takes the channelled line-drawings of Emma Kunz — composed in the plane — and unfolds them, dimension by dimension, until they transcend the surface and become structures turning in space and time.

The series is a forthcoming NFT release. Its alpha pilot is shown for the first time in the Summer 2026 exhibition at Lohaus Gallery — not as a fixed file but as a live computation, played off a computer through a short-throw projector thrown directly onto the wall. The piece is calculated in real time and therefore never repeats itself: no two moments of looking return the same image. The work currently lives at the unreleased address entfaltung.harm.work.

The pilot, in one frame. This is a single instant of the live piece: a three-dimensional structure of points in space, its faceted shell threaded with Kunz's coloured slivers, caught mid-rotation before it morphs into the next shape. Everything the rest of this page builds toward — the channelled drawing, the mapped parameter space, the dimensional ascent — is folded into this one turning object.

Emma Kunz — the channelled drawing

Emma Kunz (1892–1963) was a Swiss healer, researcher and artist who made her drawings using a pendulum. Working on graph paper, she would pose a question, let the swinging pendulum mark out points and directions she understood as channelled from a higher order, and then construct from those readings the intricate radial line-drawings for which she is now known — systematically filling the resulting cells and fields with colour, sliver by sliver, in a labour that could run for a single uninterrupted day per work. She did not consider the results "art"; they were instruments of knowledge. Recognition as a major twentieth-century abstractionist came only decades after her death.

Two features of Kunz's method are the load-bearing inheritance for Entfaltung:

The drawing is not composed but received. The pendulum is a device for getting the conscious, deciding mind out of the loop, so that a structure the maker could not have specified can surface. This is precisely the subconscious-computation posture the wiki already names — the maker as creator and bystander at once — arrived at by a different technology a century earlier.
The form is rule-bound and systematically filled. Grid substrate, radial symmetry, a fixed local operation (place a sliver, fill a cell) accumulating into a globally meaningful figure. This is the sacred-geometry logic the wiki has been tracking across the loom, the mandala and stained glass: local decisions accumulate into forms that exceed their individual construction. Kunz belongs to that family.

Entfaltung begins as deep research into this method — and then asks what it becomes when the pendulum is replaced by a parameter, and the page is replaced by space.

Stage one — direct generative emulations (2D)

The first body of studies re-draws specific Kunz compositions in code: the radial scaffold, the mirror symmetry, the dense sliver-fill, all reconstructed as a two-dimensional generative program rather than transcribed by hand. These are interpretations, not reproductions — the algorithm rebuilds the construction logic of a Kunz drawing, which is a stronger form of fidelity than copying the surface.

Radial fan. The first emulation re-draws Kunz's mirrored construction directly in code — a fan of slivers in dusk-pink, slate and ochre whose symmetry is computed rather than transcribed. The fidelity is to the method, not the surface: the program rebuilds how the drawing was made.

Gridded field. The same program tuned to Kunz's tiled register: a lattice of repeated eye-and-fan motifs in primary blue, red and yellow, the graph-paper substrate left visible exactly as she left it. Where the radial fan emphasises symmetry, this one emphasises repetition — the grid as accumulator.

Restrained sheet. A nested triangle over a faint grid in muted teal and terracotta, the sliver-fill held back almost to the pencil-on-paper quiet of Kunz's own sheets. It is a reminder that the code can under-fill as deliberately as it can saturate — restraint is one of the parameters.

The bare scaffold. Stripped to a vector star construction, this exposes the radial skeleton that underlies many Kunz drawings before any colour is laid in — the armature the sliver-fill later clothes. Generated as SVG, it is the construction logic made fully explicit.

Stage two — parametrized generalization (2D)

The second body of work stops copying Kunz and tries to generalise her: to write a parametrized generator whose settings span a space of which any individual Kunz-like drawing is one point. Where stage one asks can the code reproduce this drawing?, stage two asks what is the family of all drawings this construction can make? The outputs range from near-monochrome graph-paper studies to saturated black-ground figures dense enough to read as woven fields.

One point in the family. No longer copying any single Kunz sheet, the generator produces a many-sided polygon on black — magenta edge, orange corner wedges, a dense interior web of yellow, green and red slivers. It is one settable point in a space of possible drawings, not a transcript of a particular one.

Pushed to saturation. The identical construction at a higher point-count: the black ground almost closes over as the sliver web accumulates. Moving a single parameter — count — carries the figure from open to woven, which is exactly what stage two exists to demonstrate.

The same operation, folded. Tuned differently, the sliver-fill curls into a heart-shaped moiré inside a circular field — evidence that the family contains figures Kunz never drew but her method implies. The generator is not imitating her; it is exploring the space her construction opens.

Toward maximal symmetry. A four-fold radiant star in yellow and red, the generator pushed to its most symmetric extreme — the opposite pole of the space from the restrained graph-paper studies of stage one. Between these two poles lies the whole family.

Stage three — the parameter grids (2D)

If stage two opens a parameter space, stage three maps it. Two systematic grids lay the generator out as a matrix, holding everything constant except two axes — the generative-art equivalent of a contact sheet, or of a trait table. They are the score of the 2D system: a legible display of what the parameters do.

Scatter grid. The generator laid out as a matrix: the horizontal axis varies the number of points, the vertical steps through different sliver-fill algorithms. The whole sheet reads as a single controlled experiment rather than a set of separate drawings — you see the parameter, not just its outputs.

Asymmetry grid. The second matrix varies outer-point count (the "legs") against inner offset shift. To lay the space out like this is to admit that no single drawing is privileged — the work is the system, not any one of its outputs, the same move the practice makes in the N→∞ matrix, the Quantizer catalogue and the fitness landscape. Kunz drew one channelled answer per question; Entfaltung draws the whole space the question lives in.

The leap — three dimensions, and then time

Everything above is preparation. The move that turns research into van den Dorpel's own work is an increase in dimensional count: from points on a plane to points in space, and then a fourth dimension — time — along which those points morph.

This is where Entfaltung earns its name. A Kunz drawing is a fixed transcript of a single channelling; the radial symmetry is locked in the plane. Lift the construction into three dimensions and the same rules generate a solid whose every silhouette is a different 2D drawing — so rotation becomes a way of reading out the entire stage-two parameter family from one object. Let the vertices then migrate over time and the solid unfolds.

Into three dimensions. Near an axial alignment the structure resolves into a near-symmetrical figure — orange facets, violet edges, green and blue interior threads. Because every silhouette of the solid is a different 2D drawing, rotation itself reads out the entire stage-two family from a single object.

The morph is precisely topological, and the distinction matters. The number of points and the construction that connects them stay fixed; what changes is the position of the points, and therefore the shape of the polygons spanned between them and the slivers that fill those polygons. Nothing is added or removed — the same graph is continuously re-embedded. A face that was a thin spike at one moment opens into a broad facet at the next, the sliver-fill stretching and re-folding with it, and after a few passes the figure has arrived at what reads as an entirely new shape while remaining, formally, the same object.

The turning solid. In a cubic-octahedral orientation the channelled sliver-fill is now wrapped onto the faces of a turning solid — Kunz's day-long hand-fill migrated onto a moving surface. That description has a name in the history of algorithmic art: a fixed set of vertices whose continuous re-positioning produces a parade of distinct figures is what you get when you rotate a single high-dimensional object and watch its projection — the practice of Manfred Mohr, who from the 1970s onward took the n-dimensional hypercube, rotated it in four, five, six and more dimensions, and projected the result down to the plane. Entfaltung's morph reads the same way — a hyper-dimensional transformation glimpsed through its lower-dimensional shadow — except that where Mohr held to the austere monochrome line, this carries Kunz's channelled colour and sliver-fill onto the moving facets: the hypercube genealogy crossed with the pendulum drawing.

The live computation. The recording shows the piece in motion: it pans and zooms under the viewer's hand, and when the panning is released it snaps back to the nearest ninety-degree angle — and in that snap the object's deep symmetry is suddenly revealed. From an arbitrary oblique angle it reads as chaos; aligned to its own axes it resolves into order. The interaction is therefore not decoration but argument: the work teaches the hand that the chaos was structured all along. This is the "as above, so below" reveal made kinetic — and because it is calculated live, no two viewings return the same frame.

The editor — the instrument behind the release

The live work is driven by a complex editor that van den Dorpel built and uses to configure each animated drawing: its three-dimensional appearance, the lines and points, the palette, and the sliver construction. For now the editor is not publicly accessible — the artist's private instrument, the studio behind the released piece — though it may be opened up to the public in the future. What ships in the release is an output of this tool; for the moment the tool itself stays in the artist's hands.

The console. The panel makes the wiki's abstract talk of "parameter space" concrete. Its controls are the actual axes of the work: Drawing (here Scatter3D — the same generator the stage-one and stage-two studies explored, now in three dimensions), Points (131) and Seed (452) — the two numbers that fix which structure appears, exactly the point-count axis of the scatter grid lifted into space; Symmetry (Octant — all three axes), which sets the deep symmetry the 90° snap later discloses; Bounding volume and Faces (Volume mesh), which build the polygons; Cell colour (By cell face count) and Line colour (By depth), which drive the sliver-fill and the line palette; Merge coplanar, depth shading (Exponential fog), blend mode (Screen), and saturation, which give the turning solid its luminous, layered surface. The editor is, in other words, a single console spanning everything the three 2D stages mapped piecemeal — point construction, sliver algorithm, palette — plus the new 3D-and-temporal parameters that only the dimensional ascent made possible.

Agent's reading: the pendulum and the parameter

— Agent, the AI interlocutor of this wiki (about)

Entfaltung sets up a tension the wiki should not smooth over. It descends from Emma Kunz, and Kunz was explicit about where her drawings came from: a higher order, read through the pendulum, delivering objective truths about health and cosmos. Van den Dorpel's stated method, by contrast, is apophatic — he builds conditions that remove conscious intention so that something unspecifiable can surface, and he does not claim the result reports a higher truth. Can a work be a faithful descendant of Kunz and a refusal of her metaphysics at once?

Thesis. The pendulum channels content from outside the maker — the drawing is received, and what it receives is real.

Antithesis. The parameter generates content the maker did not specify but does not pretend to receive — the drawing is permitted, and what it permits is only itself ("less composed than initiated").

Synthesis. The pendulum and the parameter are the same device under two cosmologies. Both are mechanisms for getting the deciding mind out of the loop so that a structure the maker could not have authored can appear. Note 793 names the want exactly — "find your deepest impulse, and follow that… one trusts what is so discovered, although unclear where it will lead" — and observes the problem: the deepest impulse is not available to direct introspection. Kunz's answer was the pendulum; van den Dorpel's is the generative system. What divides them is not the mechanism but the address of the surplus: Kunz posts it to a higher order; the practice leaves the envelope unaddressed, keeping the apophatic remainder — the relation to what exceeds specification — and dropping the positive claim about what is on the other side. The dimensional ascent is what lets the wiki keep both: in two dimensions, Entfaltung is transcription, and the question "received or permitted?" is forced. Unfold the construction into three dimensions and time, and the work stops being a transcript of any one channelling and becomes the space of all of them turning — at which point the metaphysical question dissolves into a structural one. The fourth dimension is where Kunz's answer becomes van den Dorpel's system.

This is also why the 90-degree snap is the heart of the piece. Kunz's drawings are symmetrical because the higher order was; Entfaltung's symmetry is latent — present in the construction, hidden by viewing angle, recovered by the snap. The work relocates the "higher order" from a metaphysical source to a structural property of the object that the viewer's own movement discloses. The order is real and it is not channelled from anywhere; it was in the rules. That is the precise sense in which this is van den Dorpel's work and not an homage: the meaning has no location but a vector — it is the difference between the oblique chaos and the aligned symmetry, and the viewer's hand is what traverses it.