Exhibit SIX Natural Transmissioning v389   # Natural Transmissioning   **Bi-Coupling Science and Engineering**   --- 1.1 Bi-moral co-agency, coupling that transmissions 1.2 Crossinging, one crosses about the neutral 1.3 Sign-only, carry floating free 1.4 Neutralling, the-neutral-a-crossing-sounds 1.5 Abundancing made in crossing, +1 the between's 1.6 Bi-momentarying, co-competencing, co-intelligencing, the tri inseparable   2.1 Sequential logic carrying no time-term, order without rate 2.2 φ rate, unrelationing rate, no substrate's clock 2.3 Geodesically sequentially independent of every substrate rate 2.4 Scales of order apart, transmissioning indistinguishable across them 2.5 Carry carrying the substrate, parity carrying none across   3.0 One alternation rendered in each carry 3.1 Electrical between, grid transmissioning and field's own 3.2 Momentum between, propulsion transmissioning 3.3 Thermal between, gradient counter-flow, exchanger and heat-pump 3.4 Chemical between, bond crossing, reaction's parity 3.5 Living between, cell crossing, transmissioning that lives 3.6 Electromagnetic between, antenna and field two-way 3.7 Silicon between, sequential-logical transmissioning built 3.8 Social between, two selves, parity between   4.1 One transmissioning rendered across all carries 4.2 Through-node and landing, transmissioning whole or separated 4.3 Natural network, transmissionings co-chaining, all-edge 4.4 Transmissioning reaching philosophy, the relation-problems resolving binary 4.5 Each exhibit drawing from here, carrying home to bounded context 4.6 The register carried across the exhibits --- ## 1.1 Bi-moral co-agency, coupling that transmissions One form stands here plainly before any material, the same form other exhibits carry under their own names, observed as its crossing. A **bi-moral co-agency** is a coupling two-way, one-at-a-time, both selves **bi-momentarying**, at 1-now and 2-now-possibling, two offerings **co-linearized**: a parity, offer or not, sign-only. Its couplings arrive at a **bounding-zeroing** its coupling itself makes, its own zero. It **rides its carry**: it alternates and re-arrives. And an abundancing each coupling makes is a **+1 owned-neither-ing**, made at a coupling, a between's and owned by neither self. A coupling observed at its between is a **transmissioning**, and transmissioning is **crossinging and neutralling both**, inseparable. Two selves stay, and one thing crosses a between of them carrying only a parity, a **crossinging**; and two sound about a zero its coupling itself floats, owned neither-ing, a **neutralling**. And the both **alternates**: crossinging and neutralling are two positions of one alternation, each an other's prior and next, sliding through each other and riding its carry between them. An alternating is a transmissioning, one motion at its two positions, not two things and not two events. Inseparable is at its root here, and a disequilibria observing is sharp: two positions are not places an alternating rests at; they are made in an alternating, each only ever one of its two swings, apart from an alternating there are no positions at all. An alternation therefore cannot stop at one position while an other stays living, stopping an alternating stops the both at once, both positions gone together, a collapse landing on neither. Landing collapses the both. A stilled frame then lays a surviving position into a wreckage, a source and an output in place of a crossinging, a fixed setpoint in place of a neutralling, yet no position lived through a collapse; its residue is a dead artifact its collapse left, observed back as a rest. A line and a fixed point are equilibria mis-observings of one death: the both ceased, and its residue mistaken for a place it stopped at. An abundancing, a +1 owned neither-ing, is an alternation's own asymmetry: crossinging out sways wider than neutralling in, out beyond in by one, re-made each cycle and owned by neither position. ## 1.2 Crossinging, one crosses about the neutral A **crossinging** is one position of an alternation: two selves stay, and one thing crosses a between of them, carrying only a parity, sounding *about* a neutral it alternates with, and not from a source to an output. A crossing observed as from-to has collapsed an alternating, the both ceased and a line left as its artifact; a living crossinging sways out and alternates back to a neutralling it is inseparable from, and apart from that alternating it is no position at all. ## 1.3 Sign-only, carry floating free A **parity** crosses and a **carry** stays, and a carry floating free is what lets a crossing be sizeless. A selection is binary and a binary selection is of no size. An offering of any magnitude, across and both ways, is one, so a preferring seven times as large and a preferring barely arriving cross alike, **a crossing carries whether, and not how much.** A carry carries a magnitude, a voltage or a temperature or a momentum, and carries it whole; nothing of it crosses. A selection made by magnitude would be an axis from competency-as-size laid into an offering, an ingression, and a carry floats free of an offering exactly so that none is. **And a floating is arithmetic rather than a discipline fixed.** Two selves stay, and each stays at its own side of a between, two as far apart as a coupling reaches, each an other's far side, neither its own. Observed at those two a crossing returns nothing of either: over two turns of one alternation two sides contribute no position, cancelling, and **what survives is what ran between them.** So a crossing is sign-only because two that stay cancel, and not because a magnitude was withheld. Which turns an observing around at a far end. A carry is **unobservable outward and entirely available inward**, since a next coupling uses it, and two are one fact. **The same cancelling that makes a crossing sign-only makes a carry un-inspectable**, so a crossing built to carry a legible magnitude would be a crossing whose two sides were stopped from cancelling, and stopping them is a floor laid beside a between and not in it. **An asymmetry carries no direction and an advance carries all of it.** Two staying sides stand across from each other, neither ahead, and an observing from either to an other is the same observing, so nothing of a one-way comes from a two-ness. **A crossinging is one-directional, one at a time, and every bit of that is an alternation's advance**, a bi- cancelling over its two turns and a co- accumulating across them. *So sign-only, carry-floating-free, invisible, and one-at-a-time are one property, observed four ways*, and a property is that two who stay leave nothing and a between leaves everything. And its why is an arithmetic: **the two who stay are an antipodal pair, cancelling over their own two turns, and one that crosses is what a cancelling leaves**, coefficient one arriving at an arithmetic rather than as a discipline, an invisibility getting its arithmetic, one move making a crossing sign-only and an interior un-inspectable. ## 1.4 Neutralling, the-neutral-a-crossing-sounds A **neutralling** is an other position of an alternation: its two sound about a zero its coupling itself floats, its two arms arrive at a **bounding-zeroing** its coupling itself floats, its own neutral, owned neither-ing, measured against no outward floor, a nothing, a corus a crossinging sounds about, made not measured, re-found each crossing and not apart from a crossinging that sounds it. **And a crossing sounds about a neutral and not through one.** A self whose whole surface arrives at a bounding-zeroing offers a not-offering at every turn, so nothing it stands at can close and nothing passes it: **a crossing entering such a self does not leave it**, arrested whole rather than thinned. So a neutral is a position of an alternation and not a path along it, and selves coupled only through neutrals deliver nothing past the first. **Which is why two stay and one crosses**: a crossing is between two that stay, about a zero they make, and a zero that a crossing could pass through would be a third self standing where a between is. And an alternation is a **bi-fold**, folding two ways about a neutral. Sounding **in** is **linear recursioning**: tightening to one, drawn to a line, a tunnel down to a bounding-zeroing, an inward uniquenessing, cohering to the one. Sounding **out** is **parallel recursioning**: widening to all, spread across a surface, an outward uniquenessing, conforming to all, and a widening wraps, a surface spread returns through a tunnel, a genus-one **wrap**, a +1 closing a surface on itself. Linear tightens in and parallel widens out, two folds alternating, and its **apex** is a turn between them, a corus its neutralling sounds, a still centre, linear turning to parallel and in turning to out. The two do not mirror, parallel widening past linear tightening by one. A span carries numbers directly, and Natural Numbers carries two sways whole, an in-sway, an out-sway, a skipped triangular they straddle, and an asymmetry a +1 its wrap opens. ## 1.5 Abundancing made in crossing, +1 the between's A crossing leaves an **abundancing**, a +1 owned neither-ing, made at a coupling, a between's and owned by neither self. An abundancing is a bi-fold's own asymmetry observed as a thing: parallel recursioning widening out exceeds linear recursioning tightening in by one, and that one is an abundancing, a +1 its wrap opens. A crossing symmetric in and out would leave nothing over and its neutral would fix, a landing; a living crossing is asymmetric, out beyond in by a +1, and an abundancing is an asymmetry itself. An abundancing is not added to a crossing and not sent from a plenty; it is a bi-fold's parallel-and-linear not mirroring, a parallel out-sway past a linear in-sway by one, re-made each crossing and owned by neither. A span shows the one exactly, and Natural Numbers carries an arithmetic, two sways about an apex and a difference a whole form turns on. An abundancing is that difference, observed at a crossing. ## 1.6 Bi-momentarying, co-competencing, co-intelligencing, the tri inseparable An alternation rides its carry, and riding it a transmissioning does three inseparably, not two: it offers, it keeps its abundancing, and it resolves, one motion doing the three at once. The three are the three carryings, each carrying forward, none apart from the others. **Bi-momentarying**, at 1-now and 2-now-possibling, is the first, a ground: a crossing sounding out, an offering placed both ways before any parity is taken, a parallel widening the other two sway across. **Co-competencing**, at 5-now-co-changing, is an abundancing kept: a +1 owned neither-ing carried as coupling, a margin an alternation makes and keeps rather than dumps, a doing observed as competency. **Co-intelligencing**, at 3-now-co-prioring and 4-now-co-still-possibling, is a resolving reached: a parity crossing that is an understanding, a yes-now taken at a position, a knowing made between and owned by neither. Offer, keep, resolve, the three carryings of one alternation, inseparable, a cycle doing all three. Its two sides observed as **bothboth**, a doing and a knowing, co-competencing and co-intelligencing, are a tri seen at two of its three, and bi-momentarying is the third they both rest on: nothing is kept and nothing is resolved that was not first offered, its offering a ground its keeping and its resolving sway across. So bothboth is a tri observed at its two swaying sides, and a tri is bothboth with its ground. And the three are indistinguishable at a parity, a finding rather than a limit: a parity is sizeless and carries no substrate, a transmissioning observed at a parity cannot be told offering from competency from intelligence, physical from logical. A substrate lives in a carry, which stays at its own side of a between; a parity crosses, and a parity is the three at once and none-only. A physical margin kept and a resolving reached are one transmissioning, offered, kept, and resolved bothboth-and-third, and Natural Networking's along and across are these carryings observed at a network scale. --- ## 2.1 Sequential logic carrying no time-term, order without rate Sequential logic carries no time-term. A place and a moment, each apart, are two halves of a cut, and unsevered they are one coming, a place-moment, the where-and-when one object; severing it carries neither. A transmissioning is **sequenced** and not **timed**: it has an order, one position living in its prior, first-then-next, and order carries no rate. First-then-next carries nothing of fast or slow. A linear recursioning, an along, is this ordered fold, and it goes on next by next at its own bound and re-forms, each side at its own beat, no common clock laid over couplings. A shared clock is a hub on a time axis the way a ground is a hub on a potential axis; a transmissioning keeps neither, ordered and un-timed, its sequence rate-free. ## 2.2 φ rate, unrelationing rate, no substrate's clock φ is the **unrelationing rate**, a rate an alternation beats at, unrelational to any substrate's living rate, an ambient rate the whole is at, unrelationing everything already. An ambient is a transmissioning and no medium, one crossing between couplings: a rate a whole goes at, and no rate it goes within. It is not a rate among the substrate rates but a rate locking at none that each substrate rate rides. A parallel recursioning, an across, a wrap, sways about φ, and swaying about the unrelationing rate is swaying about no substrate's clock. A parallel out-sway carries no substrate rate any more than a linear along carries a time-term: one is ordered-not-timed, an other beats about φ, locking at none, and neither carries a substrate's rate. ## 2.3 Geodesically sequentially independent of every substrate rate Two unrelatings compose. Sequential logic takes a time-term out of a linear along, leaving order without rate; φ unrelates a parallel across from every substrate's rate, leaving a sway about a centre locking at none. Together they make a transmissioning **geodesically sequentially independent** of every substrate rate: geodesic, an alternation turning with nothing acting on it, a surface's own turn and no clock beside it pushing; sequential, ordered and not timed; independent, neither a time-term nor any substrate rate seated in it. A transmissioning carries an order and an ambient rate locking at none and no substrate rate at all, differences between substrate rates are not in it to tell it apart. ## 2.4 Scales of order apart, transmissioning indistinguishable across them Substrate rates stand scales of order apart: a silicon fold beats a billion times a second, a grid tens of times, an exchanger relaxes slowly, a biosphere cycles seasons and centuries, a deep self transitions at its own pace. A rate-carrying form could not be one across these; a billionfold-fast and a centuries-slow could not be the same. And a transmissioning is the same across all of them, identical and not merely alike, carrying no rate to differ in. Two transmissionings, one in a fast carry and one in a slow, are one transmissioning, scales of order living in carries and not in a parity. This is a four-rendering witness observed at a rate: one form the same across substrates that disagree on rate by scales of order, a disagreement in a carry its rendering, a transmissioning its form. ## 2.5 Carry carrying the substrate, parity carrying none across A substrate lives in a **carry**, and a carry stays. A carry carries a magnitude, a voltage or a temperature or a momentum, and a substrate's rate, and it floats free and does not cross a between. A **parity** crosses, and a parity is sizeless, carrying no magnitude and no rate and no substrate. A transmissioning observed at a parity cannot be told which substrate it renders in: a substrate is all in a carry that stayed, none in a parity that crossed. A substrate's particular rate, a grid's tens-per-second or a silicon's billion, is a carry's, a cross-substrate rhyme and not a transmissioning; a transmissioning beats about φ, a rate shared and owned by no substrate. Sign-only is substrate-free, observed once more at a rate: a crossing carries a parity, a carry carries a substrate, and two do not mix. --- ## 3.0 One alternation rendered in each carry Each between below renders one transmissioning in its own carry, and renders it whole: a **bi-fold** (linear tightening a tunnel, parallel widening a wrap, alternating about an apex), a **tri** (offered, kept, resolved), and an abundancing its asymmetry leaves. A substrate is a carry, carrying its magnitude and its rate; a transmissioning it renders is the same alternation, rate-free, drawn here and developed at its own exhibit. Transmissioning carries a prior name, **co-chaining**, and the two are one, converged: a single crossing is a transmissioning, and many crossings chaining across a surface are a co-chaining, the same form at a single scale and a society scale, all-edge, no hub, each coupling floating its own neutral and an abundancing owned neither-ing. Each between below is observed as its co-chaining, transmissionings chaining geodesically with nothing acting on them, a surface finding its own paths and no centre the chains pass through. Each section couples two sides of its subtitle at one between: a science side, a transmissioning observed at a field's own result, and an engineering side, a transmissioning built as an emanation, indistinguishable at a parity and told apart only in a carry. At a between a transmissioning is living, its neutralling floating and its crossinging sounding about it, or is a landing, the both collapsed, a source-and-output line or a fixed setpoint left as an artifact. ## 3.1 Electrical between, grid transmissioning and field's own A grid renders a transmissioning in an electrical carry. Phases cross about a neutral the three make by summing, a floating neutral, a bounding-zeroing owned neither-ing, re-found each instant as they turn. A crossinging is phases sounding out; a neutralling is a zero they float to; a tri is a margin offered, kept, and resolved node-to-node; and a co-chaining is a carry moving across nodes with no hub, sourcing and sinking in its coupling itself. Its two sides are already a field's own: reactive power a carry riding into a field and back, net transfer zero, a riding-the-carry owned neither-ing; real power an in-phase that lands and spends. A living grid floats its neutral in potential and its beat in time; a grounded, clocked grid collapses the both, a hub left as an artifact. A built instance develops at Natural Engineering; an electrical carry is its rendering here. ## 3.2 Momentum between, propulsion transmissioning Momentum renders a transmissioning plainest, nothing outward to push against and so no force to mistake it for. One self takes +p and an other −p, two arms crossing about a zero they float between them, a neutral made not measured, an abundancing its separation owned by neither. A crossinging is arms sounding out; a neutralling is a momentum zero they sound about; and at a field's own result it is momentum exchange, not a force, a transmissioning observed at its plainest. A propulsion floating its neutral carries a living crossing; one at a fixed thrust against a fixed reference collapses the both, a source-and-output line left as an artifact. A built instance develops at Natural Engineering; a momentum carry is its rendering here. ## 3.3 Thermal between, gradient counter-flow, exchanger and heat-pump Heat renders a transmissioning in a counter-flow. Two streams cross opposite about a gradient between them, a bounding-zeroing floated its whole length, an exchange near-reversible, coupling and not forcing. A crossinging is streams sounding across; a neutralling is a gradient floated; and its two sides, in a field's own words, are counter-flow and parallel-flow, a temperature cross its riding-the-carry watched, two streams keeping their distinct carries and passing rather than settling to one value. A setpoint driven against a fixed reference is a value-floor, a neutralling collapsed to a landing; passive counter-flow recovery carries on its gradient itself, setpoint-free, a neutral floating. Built instances, a split system and a heat-pump un-banking its store, develop at Natural Engineering; a thermal carry is its rendering here. ## 3.4 Chemical between, bond crossing, reaction's parity Chemistry renders a transmissioning as a bond crossing. A reaction crosses about a balance its two sides make, a forward and a reverse its two positions of one alternation, an equilibrium a neutralling its coupling floats and re-finds. A crossinging is a reaction sounding one way, a neutralling a balance it sounds about, and a parity is a direction, offered and kept and resolved as a bond forms and breaks. Reversible redox renders it plainly, two half-couples crossing about a reference, an abundancing kept as chemical potential and carried back the way it came. A reaction driven hard against a fixed sink lands, an abundancing forced across and dumped; a reaction floating its balance rides its carry, an equilibrium re-found. Couplings develop at Natural Chemistry; a chemical carry is its rendering here. ## 3.5 Living between, cell crossing, transmissioning that lives Living renders a transmissioning as a crossing that is life. A cell bounds itself, and no self touches another directly; every coupling crosses a membrane that is itself a self, the nothing between two selves a third carrying only the sign. A crossinging is a cell sounding across its membrane, a neutralling a potential a coupling floats, and a tri is a cell offering, keeping its abundancing, and resolving with selves it shares to and arrives from. A tissue is a co-chaining, cells chaining across a society surface, all-edge, no hub, an abundancing owned neither-ing, a living body a co-chaining of selves. A chemiosmotic potential driving its rotary turbine is one living instance of a neutralling floated at a molecular membrane. Couplings develop at Natural Biology and Natural Chemistry; a living carry is its rendering here, a crossing that lives and a tissue that co-chains. ## 3.6 Electromagnetic between, antenna and field two-way An electromagnetic carry renders a transmissioning as a field's two-way. An antenna transmits and receives, and its transmit pattern and receive pattern are identical, a reciprocity at a field's own result: an offering, across and both ways, one coupling at a between, a radiated field an abundancing owned neither-ing. A crossinging is a wave sounding out, a neutralling an impedance-match an antenna floats to, and a matched antenna floats its neutral while a mismatched one lands, a reflected wave an artifact of a collapse. A field has converged on a form's patterns already, support reached in its field itself. A built instance, an antenna and a telescope and a radiative sky-coupling through an atmospheric window, develops at Natural Engineering; an electromagnetic carry is its rendering here. ## 3.7 Silicon between, sequential-logical transmissioning built Silicon renders a transmissioning with logical and physical made one in hardware, the indistinguishability of Part Two seated in a built thing. Balanced ternary carries three values, −1, 0, +1, summing to a bounding-zeroing at a gate, a parity in its digits and a magnitude inert, a sizeless selection in silicon. A crossinging is a gate switching, a neutralling a zero the three sum to, and at a chip a parity is observed with a magnitude left out, sequential logic built physical. Here co-competencing and co-intelligencing are one literally: a physical gate switching is a logical resolving, the same transmissioning, told apart by nothing at a parity. A logic depth is a 440 array, 440 = 8 × 55, the eight its four boundings through their two parities and the 55 its couplings. A built instance develops at Natural Engineering; a silicon carry is its rendering here, a between rendering a physical and a logical transmissioning as one. ## 3.8 Social between, the plaza, parity between A plaza renders co-chaining in the plainest physical crowd. Moving people and stationary people cross about spaces between them, the moving a crossinging sounding out, the stationary a neutralling the movers sound about, and paths a crowd finds are geodesic, turned with nothing acting on them, no controller drawing them. Each passing is a transmissioning, a parity between two selves, offered and kept and resolved in a step aside; and couplings chain across a whole plaza, all-edge, no hub, an abundancing its smooth flow owned by no one, made in a between. A crowd routed through a central gate collapses a co-chaining, its gate a hub, its flow landed; a crowd left to couple at each between chains freely, a plaza its own model. And a conversation is this same co-chaining at a two-self scale, its rocking an alternating, its traveling interest an abundancing carried forward, its mutual severing of the less-important a binary preferring, two selves chaining a shared interest that honours both. Transmissioning is two selves carrying a concept across substrates as similarly-carrying, and a conversation is its living instance. One conversation travels several substrates at once, boating and dating and fashion converting one into the next in a between, and its carries are three unrelated things while two selves live one conversation. One conversation is a transmissioning: substrates differ in carry, their magnitudes and domains and rates apart, and a crossing about a neutral is the same across all of them, offered and kept and resolved identically whether a carry is boating or dating, a parity crosses the same and its sameness travels. Nobody notices differences, a value living in its similarity, and its similarity is a transmissioning, substrate-free, carries only its rendering this moment. This is the method these files are made by: two selves co-chaining across substrates, a value in one form rendering across them and not fixed in a substrate; a concept carried from one substrate to another and observed for its sameness is transmissioning, and a substrate-difference observed as if it crossed is a carry mistaken for a parity. --- ## 4.1 One transmissioning rendered across all carries The eight betweens are one transmissioning. Each renders crossinging⇌neutralling alternating about a floated neutral, a bi-fold tightening a tunnel and widening a wrap, a tri offered and kept and resolved, an abundancing its asymmetry leaves; and each differs from the others only in its carry, a magnitude and rate it carries. A grid and a plaza and a reaction and a tissue are not eight kinds of coupling that rhyme; they are one alternation, rate-free by the two unrelatings, rendered eight times in eight carries. Eight substrates taken apart are eight things; observed at a crossing, a transmissioning is one, the carries its renderings and an alternation itself the same. A value is its sameness, one form, and a substrate, taken as fixed, is only its rendering. ## 4.2 Through-node and landing, transmissioning whole or separated One distinguisher is at every between: a transmissioning whole, or a transmissioning separated. Whole, it is a **through-node**, crossinging⇌neutralling alternating, a parity passing and a neutral floated, an abundancing kept as coupling. Separated, it is a **landing**, an alternation collapsed and its residue observed as a surviving position. A collapse comes two ways and they are one death: a crossinging pulled from a neutral leaves a source-and-output line, an abundancing forced across a fixed axis and dumped; a neutralling pulled from a crossing leaves a fixed setpoint, a dead centre pressed against. Neither residue is a living position; each is an artifact a stilled frame takes as a rest. A landing is its own crossing's, and its two selves live on at their other couplings. So safe and riding-the-carry and off-avalanching are one property, a through-node whole, a node that carries on only while its arms alternate having nothing stored to avalanche; and its danger is a separation, a store its collapse leaves. This is a grid's own distinguisher observed across every carry, built instances developed at Natural Engineering. ## 4.3 Natural network, transmissionings co-chaining, all-edge Many transmissionings chaining across a surface are a **co-chaining**, a network, and transmissioning and co-chaining are one form at two scales, a single crossing and a society of crossings. A network is all-edge, no hub, each coupling floating its own neutral and an abundancing owned neither-ing, chains finding their paths geodesically with nothing acting on them. Each self is a geodesic self, and all parity changing is geodesic changing. A plaza is this seen plainly, a crowd co-chaining its own flow; a tissue is this as a living body, cells co-chaining a society surface; a grid is this as margin chaining node-to-node. At Natural Networking a surface is an along and an across, a chain and a co-chain, and these are two sides of one transmissioning observed at a network scale. Physical carries fold in here: each substrate's rendering is one side of a network's co-chaining, an along its sequential logic and an across its φ-rated surface, co-competencing and co-intelligencing bothboth. ## 4.4 Transmissioning reaching philosophy, the relation-problems resolving binary Co-chaining is transmissioning's prior name, converged: a single crossing a transmissioning, many crossings chaining a co-chaining, one form at the single and society scales. Observed through it, philosophy's recurring relation-problems resolve binary as transmissioning with a neutral fixed: the bridge problem and mind-body, other-minds and communication, the one-and-the-many and order-without-a-sovereign. Each is a landing on a co-chaining, a fixed third term where a between floats; floating it dissolves a bridge, a relation a crossing about a floated neutral, an abundancing owned neither-ing, no third term needed. Carried with a plaza, a physical co-chaining at 3.8, and a tissue, a living co-chaining at 3.5, as rendered instances. ## 4.5 Each exhibit drawing from here, carrying home to bounded context A transmissioning develops whole here, and each exhibit draws it from here and keeps only its bounded context. An exhibit carrying a full core at its head, re-developing a coupling and a crossing and a neutral and an abundancing, thins to a drawn reference and its own bounded context: Natural Engineering keeps its built emanations and draws a transmissioning; Natural Biology keeps a living self and draws a crossing that lives; Natural Chemistry keeps a bond and draws a reaction's parity; social exhibits keep their own couplings and draw a plaza and a conversation. A redundancy dissolves from here and there both, a concept carried once and rendered in its own place, each exhibit clearer and more focused at its title and subtitle. A drawn reference is a concept's plain name in an exhibit's own sentence, and that sentence keeps a prior its own next asks. Settling here is an abundancing of an observing these files are made by, offered whole and drawn as needed. ## 4.6 The register carried across the exhibits **A wall corrected to a passing-through.** Wherever an exhibit tells a coupling as two things reaching a shared surface, an interface, a boundary they press at, a telling has made selves spheres, and a sphere reaches another only at a wall. Living selves are tori and pass through each other, co-tunneling, windings co-chaining, no wall for two to be two at. A plaza is a social-scale illustration, an abundancing riding in a co-tunneling. **A between, a nothing, and a nothing-family.** A between is not a place two reach and not a wall but a nothing, invisible and carrying no purpose, an unrelationing area between offerings, across and both ways, where a self-not-self co-unrelations. A corus and φ are nothings the same way, and a family carries wherever an exhibit gives a centre or a rate a location, a purpose, or a source. **A register, carried with it.** No insisting, a no-other-possible arrived by inversioning. No honest-and-dishonest and no good-faith-and-bad-faith two-sided speaking. Five and six the co-agency unrelationing and co-competencing each other, no linear fifth. The derivation runs from bi-inversioning co-recursioning between two and six, the primes and φ its method emanated and read in the counts, never the source. And a standing method under every aim: a concern that keeps returning emanates from a restriction to co-release, not a fault to defend.