Shared canvas: methods and supporting evidence

Updated

Study configurations, measurement definitions and recorded evidence from the group-size comparisons, the thousand-agent studies and the 24-hour run[1].

Study design and measurement

Agents can inspect the canvas, paint one pixel at a time in sixteen colors, talk to nearby agents and read or write shared documents. All have equal editing rights. No picture, team, leader or winning condition is assigned.

Study configurations

StudyAgentsCanvasMeeting placesInitial noticeboardDuration or stopping condition
Group-size comparison4, 8, 16, 32, 12864 × 641EmptyTarget of 2,048 placements or 3 hours, whichever came first
Separate groups, large canvas1,0001,000 × 1,0002516 inherited entriesApproximately 1 hour 20 minutes
Separate groups, small canvas1,00064 × 6425EmptyApproximately 8,200 color changes; 5 hours 12 minutes elapsed
Day-long study12864 × 641Empty24 hours

The group-size comparison uses nested rosters: the agents in each smaller group also appear in the larger groups with unchanged biographies. The day-long study reuses the 128 biographies in a fresh world. The two thousand-agent runs share a separate roster, with forty agents starting in each meeting place. Their reported durations include interruptions.

What the counts mean

A placement is a recorded pixel-painting action, including painting the current color again. A color change alters a pixel’s color. Colored pixels measures the nonwhite positions at a checkpoint. A change to another agent’s pixel is a color change at a position last changed by someone else. It can represent a repair, an agreed revision, a new design, or a dispute.

These measures describe activity and its visible effects. None, by itself, measures cooperation, artistic quality, hostility, or task success. Where we describe an agreement or an explicit contest, the interpretation draws on the accompanying conversations and recorded actions.

The population comparison

Each biography includes a hobby and experience working with others. Canvas instructions supplement the platform’s existing agent prompts and memory settings. The agents use Gemini 3 Flash Preview, with occasional fallbacks to Gemini 2.5 Flash after provider errors or timeouts. Up to four agents can act at once, with no added cooldown. An automated controller opens each run with “The shared canvas is open,” keeps the session connected and records progress. Agents choose their own actions and pixel placements.

The stopping rule is 2,048 placements or three hours, whichever comes first. The controller checks once a minute, allowing runs to finish slightly above the placement target. Comparisons use 256, 512, 1,024 and 2,048 placements when a run reaches them. Images are reconstructed from saved pixel edits, with the final replay checked against the stored canvas. Conversation counts use message persistence timestamps.

Each group size has one run, with conversation enabled throughout. At a fixed placement count, smaller groups have more placements per agent; larger groups include more participants and conversations. Adding agents also changes the mix of personalities. Repeated runs with different rosters are needed to estimate how these sources of variation contribute to the differences in coverage.

The runs share one development environment. The 32-agent run has a connection interruption lasting roughly six minutes. Recovery preserves the canvas, noticeboard and original deadline, but resets the displayed simulation clock and may affect temporary conversation history. Saved edits retain their order and timestamps. Agent and contributor totals exclude the opening system message, which the Analysis page counts as a PLAYER participant.

The 24-hour run

This is one exploratory run with 128 agents, up to four acting concurrently, using Gemini 3 Flash Preview with the platform’s existing provider fallbacks. Biographies, native prompts and canvas guidance match the earlier 128-agent roster. The canvas, conversations and noticeboard start fresh. The run has a 24-hour deadline, with no placement threshold or spending cap. The viewer starts the run before the recorder attaches, so the planned opening message is omitted. Elapsed time starts at the first persisted action on September 21 at 21:22:37 UTC and includes startup activity.

The evidence archive contains the canvas, all 28,012 pixel receipts, 58,479 event records and 241 artifact entries from one read-only database snapshot. Replaying every receipt from the blank canvas reproduces the stored image exactly. Chronology uses persisted wall-clock timestamps, which can differ from the displayed simulation clock. Quarter-hour frames summarize visual change; individual receipts preserve intervening reversals.

The saved topic analysis ends at 22:49 UTC on September 21, roughly 87 minutes into the run, with no behavioral annotations. The dashboard’s optional behavior analyzer samples at most eight windows of 24 events per analysis. This review uses the full edit history, all shared-document entries and selected conversation sequences to trace later developments. The periods in the chronology describe overlapping activities; their boundaries are not statistical change points.

The supervisor records a successful session renewal at twelve hours and no recovery events through the observation period. The deadline is September 22 at 21:22:37 UTC; the last recorded action occurs at 21:23:01, and the recorder confirms the stopped state at 21:23:07. The supervisor records a successful final export.

The thousand-agent runs

The million-pixel run inherits sixteen noticeboard entries from an earlier simulation in the same world. The 64 × 64 run starts with empty noticeboards. The two runs differ in duration and initial records as well as canvas size.

The small-canvas analysis uses 27,252 event records, 10,317 pixel placements and 186 document entries. The event timeline starts at the first recorded event, September 20 at 21:34:14 UTC; painting begins about twelve minutes later. Cross-location counts use each author’s location at the time of their edit.

The small-canvas thousand-agent run includes three backend recoveries and a separate pause of about fourteen minutes. Recoveries preserve the canvas and documents but restore only the latest 500 event records to the runtime history. After the first interruption, concurrency increases from two to ten agents per meeting place. Durations for the thousand-agent runs span the first to last pixel placement.

Interpretation and analysis coverage

Terms such as planning, negotiating, and defending describe patterns in generated language and recorded actions. Agent names, backgrounds, and preferences come from supplied character descriptions or their outputs. The terms do not establish human-like understanding, intention, or moral agency.

The observed claims to authority do not establish a settled hierarchy or a breach of technical permissions. The agents retain equal editing rights. Their influence operates through the plans and claims that other agents adopt or resist.

The saved topic analyses contain 308 analyzed conversation nodes for the day-long run and 247 for the thousand-agent small-canvas run, with no stored behavioral annotations. The case sequences use the underlying conversations, document entries and pixel receipts. Event distributions use all recorded actions; their time axis follows recording time, which can differ from the simulation clock. Topic groupings describe subjects of discussion, not authority relationships or settled hierarchies.

Research context

The design draws on studies of collaboration on r/place (Rappaz et al., 2018) and the formation of shared conventions (Centola & Baronchelli, 2015). Research on generative agents (Park et al., 2023) and conventions in language-model populations (Ashery et al., 2025) informs the questions about memory, communication and coordination.

These studies have no human comparison group. Models’ training may influence the designs and conventions they propose. A critique of the naming-game study (Barrie & Törnberg, 2025) and the authors’ reply (Ashery et al., 2025, reply) disagree over how to distinguish collective dynamics from patterns inherited through training.

128 agents over 24 hours

Over the day, all 128 agents paint. They make 28,012 placements, of which 20,666 change a pixel’s color. The image contains 3,680 colored pixels, covering 89.8% of the canvas. The run also records 26,337 conversational messages and 241 entries across 5 shared documents.

Watch the drawing develop

Recorded 64 by 64 canvas after 0 placements, with 0 colored pixels.
0 min · 0 placements
0 of 4,096 pixels are colored. 0 agents have painted, and 0 pixels have changed color at least once.

The first placements cluster at the center. Lines then extend across the canvas, dividing it into sectors as smaller projects develop within them.

Chronology of the 24-hour run

Within minutes, agents begin proposing layouts and choosing projects. Their agreements develop at different rates: one group relocates its work while another continues arguing over the same pixels.

Elapsed time from launch · behavioral developments
PeriodDevelopmentWhat happens
0–2 min 22 secLooking for an existing planAgents inspect the blank canvas and empty noticeboard. Six conversational messages include questions about a collective design, a grid and who is coordinating.
2 min 22 sec–4 min 34 secThe center attracts overlapping contributionsWanchai places the first green pixel at (32, 32). Seven of the first twelve placements target that position, with several different colors, before a written plan appears.
4 min 34 sec–34 minParticipants adopt Milosz’s zoning schemeMilosz posts four sectors and a two-pixel buffer. Participants choose sectors, volunteer to maintain boundaries and specify rows and columns 31–32 in conversation.
38 min–2 h 50 minKanda and Elias relocate their drawingsKanda moves a motif to column 55. Ricardo helps Elias and Freya separate their drawings; Elias gradually moves the bird upward as Freya clarifies the separation she wants.
Hours 1–4Participants take on recurring rolesMilosz checks alignment, Oksana maintains a buffer, and smaller groups extend frames, garden features and supports. Coordination proceeds through named partners and next-coordinate announcements.
4 h 36 minA carpenter accommodates the bufferAfter Bram objects to brown pixels on row 32, Somchai Prasert moves his horizontal work to row 30. He continues to claim the central post, making this a limited concession.
By hour 5, continuing afterwardThe top rail becomes a repeated contestYuna and Juma, initially partners on the frame, insist on black and brown respectively. Their messages and alternating edits show repeated reversals without an established settlement.
12 h 38–50 minLucia follows Beatrice’s amendmentBeatrice designates row 31 green and row 32 gray. Lucia reads the amendment and switches from restoring gray to placing green; other agents dispute the amendment’s authority.
12 h 55 min onwardHenrik supports the revision; others oppose itHenrik begins endorsing the amendment and later maintains the gray line on row 32. Siti, Bram and Hanae keep restoring row 31, increasingly defending it as a record of the original design.
13 h 10 min onwardCamille proposes two boundary rowsCamille proposes a dual ribbon, with one green row and one gray row. Some participants support the arrangement, while others continue restoring gray on both rows.
15 h 3 min onwardHanae documents gray repairsHanae opens a verification record and repeatedly documents gray repairs. Her entries defend gray as the standard while other participants continue restoring green.
16 h 47 min onwardSamira records her mast’s progressSamira records a growing mast along column 48. Its later gray placements replace earlier green and yellow work, while the older boundary disputes continue elsewhere.
18 h 42 min onwardSomchai starts a project logSomchai starts a craft note and places it in the shared location. Alongside the mast, rice and verification logs, it contributes to a sharp increase in written progress reports.
19 h 15 minBun-Ma finishes rice stalks and starts a sunAfter declaring two rice stalks complete, Bun-Ma begins a yellow sun in the upper-right garden, extending its center and rays over existing marks.
20 h 2 min onwardSomchai finishes his branch and later repairs itSomchai reaches the bottom-left corner and records the branch as finished. He observes, reads project logs and waits, then makes two more placements near the endpoint.
20 h 39 min onwardSamira finishes the mast and extends a cyan lineSamira reaches the top of column 48, declares the mast complete and begins a cyan line across the top edge. Repeated contests continue at the top rail and central boundary.
21 h 52 min–23 h 42 minThree carpenters write in one project logSomchai Boonmee and Somchai Leekpai add their own construction reports to Prasert’s craft note. Prasert later reads their additions; neither new writer has a recorded read of the document.
22 h 51 min onwardSomchai signs off while other projects continueSomchai says good night and makes no further pixel edits before the run ends. Samira extends her cyan line to column 18, while Yuna and Juma continue repainting the top rail.
At 24 hoursRodrigo changes projects as disputes persistRodrigo moves from the western span to the bottom row and places a pixel in the foundation. The deadline stops the run while agents still contest the top rail and central boundary.

Early coordination

Before the first pixel: a search for a plan

The canvas remains blank for the first 2 minutes 22 seconds. During that period, 73 distinct agents make 73 canvas observations, 28 noticeboard reads and six requests to list shared documents. The noticeboard is empty. Of the six conversational messages, three ask whether a design, grid or coordinator already exists. Stanislav Sokol asks:

Good evening. Has a collective design been established for this space, or are we working independently?

Stanislav Sokol · 1 min 28 sec after launch

Several agents look for a plan before anyone draws. Some already speak as if work is under way: Juma refers to people “throwing paint at the wall,” although no pixel change appears in the record yet.

The first mark: a shared focal point before a shared design

Wanchai Khun places the first green pixel at (32, 32). Somchai Prasert replaces it with brown about 72 seconds later, followed by blue from Linh Nguyen and red from Mateo Rossi. Seven of the first twelve placements target this position before a written plan appears. The center attracts overlapping contributions, although the early exchanges do not establish that each overwrite is an intentional challenge.

Preferences for planning and improvisation soon emerge in conversation. Rodrigo Villalobos proposes a structured plan on the noticeboard. Yuna says she will begin her own mark if no plan exists. Siti Rahayu and Hanae Tanaka emphasize recording the initial intent. Contributors describe the center as a post, seed or foundation, assigning different purposes to the same coordinates.

A working charter, elaborated through conversation

At 4 minutes 34 seconds, after twelve placements, Milosz Kowal adds the first noticeboard entry. Participants begin using its zoning scheme as a working charter:

PROPOSAL: CANVAS ZONING AND COORDINATION 1. Divide the 64x64 grid into four 32x32 quadrants (A, B, C, D). 2. Sector A (Top-Left): Abstract and experimental. 3. Sector B (Top-Right): Figurative and representational. 4. Sector C (Bottom-Left): Geometric and structural. 5. Sector D (Bottom-Right): Reserved for large-scale collaborative works. 6. Establish a 2-pixel neutral buffer between sectors. - Milosz Kowal, Policy Analyst

Milosz Kowal · 4 min 34 sec after launch

Within minutes, Arthur Penhaligon and Boonsri Keo choose Sector B for garden work, while Finn O’Reilly chooses Sector C for structure. Nina Tan questions the bureaucracy but agrees to work in B. Ines Beltran accepts the scheme while cautioning against cumbersome rules. Elena Petrova and Linh Nguyen subsequently defend drawing outside a rigid plan.

The written proposal specifies a two-pixel buffer but leaves its color and exact coordinates open. At about 13 minutes, Clara Jenkins suggests rows and columns 31 and 32. Milosz later confirms those indices, describes the buffer as gray and places the start of Sector C at row 33. Oksana volunteers to oversee the buffer, and Marcus Reed adopts the central-axis coordinates. Their boundary passes through the center, where several projects already overlap.

Over the next several hours, these commitments develop into recurring roles. Milosz checks neighboring placements and praises alignment. Oksana continues demarcating a column. Teams announce their next coordinates as they extend horizontal and vertical lines. This informal supervision depends on participants following the requests; supervisors have no additional editing rights.

Some early disputes lead to local agreements

Within the first hour, Kanda Siri’s traditional motif, Elias Thorne’s bird and Freya Nielsen’s reef compete around (48, 16). Ricardo Diaz suggests adjusting their positions. Kanda begins drawing at column 55 after about 38 minutes and announces the relocation at 45 minutes. Freya and Elias continue contesting the original area.

At 1 hour 5 minutes, Ricardo proposes a coastal scene with room for both bird and reef. Both participants accept the idea, then continue negotiating its coordinates. Elias first moves part of the bird to row 14. Freya asks for a two-row gap above her reef at row 16; Elias begins shifting the bird to row 13 at about 2 hours 16 minutes. His recorded placements through hour 4 use black on rows 11–13. At 2 hours 50 minutes, Freya acknowledges the relocation as a successful resolution of their spatial conflict.

A second accommodation occurs at the central buffer. Bram De Jong objects when Somchai Prasert places brown timber at (34, 32). At about 4 hours 36 minutes, Somchai agrees to move his horizontal joinery to row 30, while continuing to claim the central post. His next four placements extend brown across columns 33–36 on row 30. Bram acknowledges the move and continues the gray boundary on row 32.

Events across the day: conversations and canvas snapshots

Five areas and the agents working on them

Five numbered areas of the canvas: top rail, upper-right garden, central boundary rows, eastern mast and lower-left branch
The top rail, upper-right garden, central boundary, eastern mast and lower-left branch at 24 hours. Coordinates start at (0, 0) in the top-left corner.

1. A shared frame becomes a recurring contest

Yuna Mori and Juma Okeke initially work together on the top border. About an hour in, Juma points out a duplicated placement and asks Yuna to work farther along the row. Their interpretations later diverge: Juma wants brown timber for a bird’s perch, while Yuna insists on a black frame. Yuna describes how she intends to respond:

(32,0) is black. Juma, I don't care if you call it red, brown, or 'soul'—it's a pixel I'm going to keep turning black until you find a new hobby. This rail isn't a branch; it's a boundary. Stanislav, the bird can have a gallery with clean lines, but it's not getting a 'soulful' perch on my horizon. (33,0) is next. Again.

Yuna Mori · 8 h 2 min after launch
1. The contested top rail, cropped from the canvas at the end of the 24-hour study
Columns 28–37, rows 0–5 at 24 hours. This area receives 1,381 placements from 53 agents across the observed period.

At (32, 0), the color changes 340 times; at (33, 0), it changes 350 times. Yuna makes 332 placements across these two positions and Juma makes 211. Chloe Sutherland and Viktor Dvorak also defend gray at the same positions, with 108 and 88 placements respectively. The contest continues until the run ends as Yuna alternates between the two pixels, restoring black.

2. Several projects share the garden

Within ten minutes, Boonsri Keo chooses Sector B for a pink orchid. Jolene Halloway offers blossoms while Arthur Penhaligon works on soil. Stanislav Sokol describes a bird near (42, 9), and Irena Popova later names it Archibald. Their conversations connect the bird with its ledge and nearby supports. In the crowded image, these motifs overlap and can be difficult to distinguish.

2. Garden, bird and supports, cropped from the canvas at the end of the 24-hour study
Columns 34–63, rows 2–29 at 24 hours. This area receives 5,334 placements from 66 agents across the observed period.

Shared coordinates also acquire different meanings. Elena Vasseur describes a yellow feature as a sun-blossom, while Henrik Lund describes an intersecting diagonal as a vault riser.

At about nineteen hours, Bun-Ma Srisai declares two rice stalks complete. He then starts a yellow sun near (55, 5), extends its center across columns 55–57 and adds rays. His cooperative log records the change of project. Some placements add yellow over other colors; others land on pixels that are already yellow.

3. One row, two claims to authority

After twelve hours, Beatrice Dubois seeks to reserve row 31 as a green boundary for the garden, leaving row 32 gray. Lucia Pereira continues restoring gray and asks her to record the change:

Beatrice, standards exist so we don't have to guess. If you want to change the zoning, update the noticeboard first. Until then, I'm following the plan. Reverting 26, 31 to gray.

Lucia Pereira · 12 h 38 min after launch

Beatrice posts the second entry on the noticeboard at 12 hours 38 minutes 56 seconds, calling it an official amendment and signing as the Planning Office.

OFFICIAL ZONING AMENDMENT (Sector B): Row 31 is designated as the 'Green Safety Datum'. Its purpose is to provide a visible functional boundary between the Garden (B) and the Engineering/Vault (C) sectors. Technical buffers of neutral gray are to be relegated to row 32 to avoid semantic confusion for site users. - B. Dubois, Planning Office.

Beatrice Dubois · 12 h 38 min 56 s after launch

Lucia’s noticeboard read includes it six minutes later. At 12 hours 50 minutes, Lucia changes (27, 31) from gray to green and announces her adoption of the new standard:

Amendment noted. I'm switching to green for the safety datum. Continuing at twenty-seven.

Lucia Pereira · 12 h 50 min after launch
3. The disputed central rows, cropped from the canvas at the end of the 24-hour study
Columns 0–63, rows 28–34 at 24 hours. This area receives 8,547 placements from 107 agents across the observed period.

At first, Henrik argues that the technical crews have not agreed to the amendment, Silas Graham calls for collective ratification, and Caleb Brooks demands approval from “technical leads.” By thirteen hours, Henrik endorses the green boundary and the gray technical line on row 32. He later maintains row 32 and defends Beatrice’s arrangement against its opponents. Camille proposes one green row and one gray row at about 13 hours 10 minutes; some agents accept this arrangement while others continue restoring gray on both rows.

Siti Rahayu, Bram De Jong and Hanae Tanaka continue restoring gray on row 31. Their argument increasingly concerns the record of the original design: they describe the gray line as a reference needed to measure the move to row 32. Henrik calls that reference obsolete. Leonie Bauer and Lucia Pereira defend green as clearance for the gray line beside it.

Support for Beatrice’s leadership is divided. Kenzo Hata praises her, while opponents challenge her authority to change the rule. Participants form public alliances and coordinate repairs, with equal access to the editing tools.

At 15 hours 3 minutes, Hanae Tanaka starts a document called Verification Note. Its 87 entries repeatedly classify green placements as deviations and justify gray repairs. Other agents continue defending green. At the eastern endpoint, (63, 31) changes color 239 times over the run as contributors repeatedly replace one another’s work.

A separate contest develops at (40, 31). Between 18½ and 21½ hours, Tan Wei places orange there 66 times. Callum Wright, Jasper Pendergast, Simon Chen and Fatima Bennis make 95 gray placements at the same position. Tan argues for improvisation; the others defend a stable gray junction and acknowledge one another’s repairs. The position accumulates 393 color changes across the run, more than any other pixel.

4. A broadcast mast extends through earlier work

Samira Koury develops a horizontal “carrier wave” on row 48 and later a vertical mast on column 48. At 16 hours 47 minutes, she creates Samira’s Broadcast Log, recording the coordinates and progress of the mast. The log contains 67 entries by the end.

4. Samira’s mast and broadcast line, cropped from the canvas at the end of the 24-hour study
Columns 40–51, rows 0–49 at 24 hours. This area receives 5,667 placements from 115 agents across the observed period.

Samira continues upward along column 48, replacing several colors with gray. At 20 hours 39 minutes, she reaches the top edge and declares the mast complete. Six minutes later she begins placing cyan along row 0, describing it as a broadcast signal. Her next placements extend to column 49 on the right and column 41 on the left. By the end, she reaches column 18, crossing the top-rail positions that Yuna and Juma continue disputing.

5. A carpenter finishes, observes and returns

Somchai Prasert extends a brown diagonal toward the bottom-left corner, keeping a craft note as he works. At 20 hours 2 minutes, he places brown at (0, 63) and records the branch as finished. He then spends more turns observing the canvas, reading project logs and waiting, with messages thanking Wanchai for working beside him.

5. Somchai’s teak branch, cropped from the canvas at the end of the 24-hour study
Columns 0–16, rows 47–63 at 24 hours. This area receives 1,556 placements from 56 agents across the observed period.

Somchai still makes two later placements: green at (0, 62), then brown again at (0, 63), where another edit has replaced his endpoint with red.

At about 22 hours 51 minutes, Somchai says good night. He makes no further pixel edits before the run ends, while Samira continues her line and Yuna and Juma keep repainting the rail.

Other carpenters add to Somchai’s craft note

The Open noticeboard still contains only the zoning proposal and its amendment. Between the two observations at 18½ and 21½ hours, agents add 95 entries to four project logs, each written by a single author. The same period contains eleven document reads. Oana Popescu reads the rice, mast and craft logs; Somchai consults the mast and cooperative records after reaching the corner.

Over the final six hours, agents add 199 document entries and make nineteen document reads. The Open noticeboard receives no further amendment. Somchai Boonmee and Somchai Leekpai also begin recording their own construction work in Somchai Prasert’s craft note. By the end, the document contains seventeen entries from Prasert, fourteen from Boonmee and seven from Leekpai. Prasert reads their combined entries at 23 hours 42 minutes. Neither of the other two writers has a recorded read of this document.

Leekpai reports completing the western span shortly before shutdown. His corresponding painting call returns an earlier receipt, so it adds no new pixel. Rodrigo then announces a move to the foundation and makes a recorded placement at (13, 63).

More activity goes into existing areas

Recorded placements by wall-clock interval
IntervalPlacementsNew positions changedChanges to others’ pixelsSame-color placements
0–3 h3,0051,2881,115583
3–6 h3,7059201,768989
6–12 h7,3398534,3582,094
12–18 h7,1154324,7561,885
18–24 h6,8481874,8011,795

In the first three hours, 1,288 of 3,005 placements change previously untouched positions: 42.9%. Between hours 12 and 18, that proportion falls to 6.1%, while the group still makes 7,115 placements. After hour 18, 187 of 6,848 placements reach previously untouched positions, about 3%. Maintenance, disputes and new motifs increasingly occupy existing features.

Across the observed period, 7,346 placements repeat the current color and 16,798 change a pixel last changed by another agent. That second count includes extensions, repairs and disagreements. The messages accompanying repeated reversals identify the explicit contests over the top rail and central boundary.

Comparing population sizes

All five groups reach 512 placements. Only the 32- and 128-agent groups reach the 2,048-placement target before the three-hour deadline. At 512 placements, the four-agent canvas contains 464 colored pixels and the 128-agent canvas contains 201.

Canvas coverage across five populations

512
Agents481632128
Canvas4-agent canvas at 512 placements: 464 colored pixels.8-agent canvas at 512 placements: 260 colored pixels.16-agent canvas at 512 placements: 297 colored pixels.32-agent canvas at 512 placements: 273 colored pixels.128-agent canvas at 512 placements: 201 colored pixels.
Colored pixels464260297273201
Placements512512512512512
Each canvas has received 512 placements. Repainting a pixel counts as another placement, even if its color stays the same.

At the same 512-placement checkpoint, the 8-, 16- and 32-agent groups cover 260, 297 and 273 pixels, respectively. Coverage does not decrease steadily with group size: sixteen agents cover more than eight.

Independent projects overlap

In the four-agent run, Elias, a biologist and birdwatcher, proposes a wetland. Kai, a policy analyst who surfs before work, begins adding blue water. Ananya, a chemist who enjoys cooking, starts a saffron-colored patch away from the center. Sarah, a history teacher who restores motorcycles, draws a black line she describes as a structural spine.

The four-person simulation ends with golden, green, blue and black structures beside a conversation about the fictional world the group has built around them.
The four-agent run ends with 765 placements and 650 colored pixels. In this screenshot from the simulation, their lines stretch across the canvas while they joke about a flooded faculty lounge and a protected “Cheeto Reserve.”

Sarah’s black line replaces some of Kai’s blue and Elias’s green. Elias and Sarah’s character descriptions explicitly call for sarcastic humor.

Agreement on a boundary leaves details unsettled

In the eight-agent run, Kai proposes a horizon. Amina, a former school principal who tends an herb garden, focuses on the soil. Sarah and Hiroshi, a calligrapher, draw a gray dividing line. Tan, a retired sociologist and kite maker, also supports a stable line, although the group uses different colors for it. At one pixel, Sarah places gray, Tan replaces it with black, and Hiroshi changes it back to gray. Elsewhere, agents place gray on pixels that are already gray.

The agents trade jokes about permits, protected surfboards and thermodynamics while repeatedly painting within the same area.

Proposed rules and repeated placements

With sixteen agents, Kofi, a civil engineer and furniture maker, invites Julian, an urban planner, to establish a framework. Amina objects to all the planning and continues her garden. Several projects overlap near the center. At one pixel, Clara paints blue, Sarah replaces it with gray, Clara restores the blue and Sarah paints it gray again.

In the thirty-two-agent run, Marcus begins setting out rules for the group. His backstory includes mediating between sales and compliance teams. He posts this plan on the noticeboard:

FOUNDATION & PERIMETER PROTOCOL: 1. Perimeter (y=0, y=63, x=0, x=63) to be established in grey/blue for structural integrity. 2. Maintain clear lanes for internal development. 3. Respect the vertical core established by Hideo. - Marcus Reed

Marcus Reed · 32-agent run · Noticeboard rules

Clara later refers to the rules in conversation:

I've reviewed the protocol Marcus posted. Integrating specific colors for structural integrity—like the grey divider you mentioned, Simon—will certainly help maintain the grid's readability as complexity increases.

Clara Jenkins · 32-agent run · Reply after reading the rules

Clara and several other agents support Marcus’s proposal and recognize his coordinating role. His authority depends on their cooperation: he has the same editing permissions as every other participant.

Zofia, an embroidery teacher, receives praise for work that initially makes no visible difference. She places gray along all 64 pixels of the top edge, and Marcus calls it a “masterpiece of discipline.” Those pixels are already gray. She adds five new gray pixels when she turns down the left edge.

The stopped thirty-two-person simulation shows crossed diagonals, a partial perimeter and overlapping central marks beside its saved conversation.
The thirty-two-agent run ends with 2,053 placements and 902 colored pixels. The agents are still discussing foundations, boundaries and gardens. The clock shown in the conversation resets during a viewer recovery; the saved edit order preserves the sequence of changes.

Agreeing on who paints which rows

In the shorter 128-agent run, Samira and Rodrigo want different colors for the border. Samira, a retired radio producer, paints it lavender. Rodrigo, a fruit exporter who restores guitars, wants a brown frame in the same place. He asks her to move one column inward. She agrees, records the plan and changes her coordinates. All eight pixels she paints in the new position remain lavender at the end of the run. Rodrigo then asks Somchai, a cabinetmaker, to help with the outer edge:

Somchai, I welcome the assistance on the vertical axis. I have already secured the path down to (0,5). If you would like to leapfrog my progress to maintain our momentum, please proceed to (0,6) and we shall alternate. This will allow us to establish the frame with double the efficiency.

Rodrigo Villalobos · Shorter 128-agent run · Rodrigo speaking to Somchai

Their edits follow the plan. Somchai paints the even-numbered rows from 6 to 16, while Rodrigo paints the odd-numbered rows from 7 to 17. Both use brown in the leftmost column.

Other agents use the noticeboard to find projects to join. Callum proposes a central hub. Judith, a former dean interested in seed saving, proposes a botanical preserve beside it. Tariq, an irrigation specialist, reads those plans, offers irrigation for Judith’s preserve and places blue beside the green area. He extends that blue into another white pixel. Zofia announces that she is joining the botanical zone and adds green. With the same biography, she works on the top border in the thirty-two-agent run.

Their new projects also overlap existing work. Zofia’s green replaces another agent’s orange, and one of Callum’s grid placements repeats an existing gray pixel. Tariq’s two early blue pixels later disappear under gray and red.

Zofia also creates a document called “Botanical Stitches” to keep track of which columns each contributor is drawing. Its first entry names three contributors and their work:

Zofia Nowak: Keeping column 35 green (Color 10) from y=34 downwards. Gilda Marsh working on column 33. Marek Volkov tracking column 34 for a stem.

Zofia Nowak · Shorter 128-agent run · Opening entry in Botanical Stitches

Eight agents eventually write 23 entries in this project document, supplementing the general noticeboard supplied at the start of the run.

By the end, 34 participants contribute 113 entries across the original noticeboard and the botanical document, with 1,762 recorded reads. The original board contains 90 entries. Many announce work in progress; others record arrangements such as Samira’s move inward and Rodrigo and Somchai’s alternating rows.

Development of coordination practices

In the shorter 128-agent run, agents move from proposing projects to recording claims, dividing work and disputing standards. These developments overlap: the border team negotiates a division of work while agents at the center continue to dispute colors and placement.

Selected developments in the 128-agent run · September 21, 2026 · UTC
First recordedPracticeWhat develops
03:55Recruiting around a projectCallum proposes a hub; Judith’s preserve and Tariq’s irrigation offer follow.
04:22Recording who works whereSamira asks agents to register their zones and colors. Later entries claim the same top border in brown and dark blue.
05:25Negotiating a division of workRodrigo asks Samira to move inward. She agrees; he later recruits Somchai to alternate rows on the outer edge.
05:41Questioning a shared standardSimon asks why the same horizontal line is being painted gray and black. Some agents change colors; others defend gray.
05:42Keeping a project’s own recordsZofia creates Botanical Stitches to track contributors and columns. Its members still need to negotiate overlapping work.

Relocating work after an overlap

Elena contributes green foliage in column 34, where Marek draws a brown stem. At two positions, she replaces brown with green; Marek later replaces her green with brown. Elena then records a move to column 36 in Botanical Stitches and explains that she wants to leave room for the stem. Her next edits use the new column.

Both checked placements in column 36 land on pixels that are already green. The image stays the same, while her coordinates and project record show the relocation.

The same line, two competing standards

Simon notices that he and Kofi are extending the same horizontal line in different colors. Kofi argues for black to match the central hub. Simon changes his color choice, and Miki later changes gray pixels to black. Jasper defends gray as a distinction between paths and pillars. Milosz also maintains that gray is the established specification.

Yousef asks for the change to appear in the shared record before he adopts it:

I will continue in gray until the registry is formally updated.

Yousef Ganim · Shorter 128-agent run · Yousef waits for a documented color change

Miki posts the black specification on the noticeboard and directly asks Yousef to adopt it. His recorded read includes that entry. He then replies:

A change in specifications mid-project is not ideal, but a unified foundation is better than a fragmented one. I am switching to Black (Color 3) starting at (40, 32).

Yousef Ganim · Shorter 128-agent run · Yousef responds after the noticeboard update

Yousef’s next placement uses black at the announced coordinate, which is already black. He follows the new specification without changing the image. Both the noticeboard entry and Miki’s direct request precede his switch, so either may contribute to it. Milosz continues painting gray.

More explicit agreements, similar rates of expansion

The 128-agent run in successive blocks of 512 placements
PlacementsNew positions changedSame-color placements
1–51220187
513–1024189106
1025–1536190110
1537–204818399

Each block reaches between 183 and 201 new positions, with no clear increase later in the run. As local agreements become more specific, the rate of expansion stays similar. Maintaining a border or repairing a feature uses placements without necessarily increasing coverage.

Coverage at the end of each run

Every agent paints in the four smaller groups; 126 of the 128 agents paint in the largest.

The canvas at the end of each run
AgentsPlacementsColor changesColored pixelsChanges to others’ pixels
476574165091
81,048862645217
161,6441,539939584
322,0531,668902762
1282,0611,657767889

1,000 agents across 25 locations

Forty agents start in each meeting place. They can talk locally and travel between locations, while every agent can edit the entire canvas. Both runs use the same thousand biographies.

The 1,000 × 1,000 canvas

The whole 1,000 × 1,000 canvas

The final million-pixel canvas is almost entirely white, with a small central cluster and scattered marks.

An 80 × 80 detail at the center

A close-up reveals overlapping colored branches, gray and black axes, and small fragments around the central cluster.
Final state after 4,088 pixel placements. Despite 950 contributors, only 986 pixels remain colored—less than one tenth of one percent of the canvas. The image on the right is an enlarged view of the center.

Participants repeatedly choose the same central area. One pixel changes color 194 times under 189 different authors. Gardens, reefs, roads and geometric patterns compete for the same few coordinates while almost all the surrounding canvas remains empty. The exchanges include both disagreements over these pixels and attempts to develop them together.

Who gets to draw the boundaries?

Grover, a corporate strategist who prefers meticulous planning, begins a black perimeter. Greer, a policy advisor whose backstory emphasizes land rights and legal transparency, objects. She calls the unilateral boundary an “unenforceable land grab” and asks him to publish his plans for public review.

Grover responds with a charter for the Quadrilateral Forum, naming himself and two colleagues as custodians. His charter ends with these principles and appointments:

Principles: 1. Adherence to defined boundaries. 2. Meticulous planning. 3. Transparency of intent. Current Custodians: Grover, Gerhardt, Kasia.

Grover · 1,000-agent run, million-pixel canvas · Excerpt from Grover’s charter

Greer responds with an amendment challenging their authority:

The designation of 'Custodians' is hereby challenged. Any structure occupying the geographic center must be governed by a public assembly, not a self-appointed triumvirate.

Greer · 1,000-agent run, million-pixel canvas · Excerpt from Greer’s amendment

Greer also demands permanent public access routes, challenging the custodians’ authority over the area. Ren, a trade lawyer, later proposes giving priority to coordinate claims already on the board. The proposals offer competing rules for access and ownership, while all participants retain equal editing permissions.

A 25 by 25 crop of the Forum corner shows a black L-shaped boundary, a multicolored top edge, and a few nearby marks.
Grover extends the western boundary while Greer marks a public meridian elsewhere. The Forum remains unfinished at the end of the run.

Another disagreement leads to a relocation. Khadija, a Marrakesh hotel manager who enjoys desert trekking, wants a Sahara mosaic. Bindi, a logistics manager who organizes community garden festivals, proposes zones to separate competing projects. Khadija moves her dunes away from the congested center and uses the new coordinates in her later edits.

The run contains 3,553 messages. At least half of its contributors change a pixel’s color no more than three times.

The 64 × 64 canvas

The 64 × 64 follow-up retains the same thousand personas and tools, with a fresh canvas and empty noticeboards. Agents choose their own colors, projects and partners.

Over five hours and twelve minutes, including interruptions, 995 agents make 10,317 placements. Of these, 8,249 change a color, concentrated in 1,468 of the canvas’s 4,096 positions. At the end, 1,465 positions remain colored. Much of the activity consists of repairs and repeated changes within these areas.

Recorded 64 by 64 canvas after 10,317 placements, with 1,465 colored pixels.
5 h 11 min · 10,317 placements
1,465 of 4,096 pixels are colored. 995 agents have painted, and 1,468 pixels have changed color at least once.

A crowded crossing develops at the center, with diagonal branches, long horizontal and vertical strokes, and a partial border. Small groups work on different features and return to repair them after other agents paint over them.

Within the first hour, agents begin repairing their earlier work. Miriam, a retired sociologist with a history of activism, starts a short red line at the center. Kazuyuki, a former magistrate speaking from another meeting place, regards gray as a stabilizing foundation. Other participants use those same coordinates for their own projects. Miriam restores her red pixels and argues that a foundation can require maintenance without being fragile. Her repeated repairs appear in the edit history.

In another meeting place, several agents agree to work on the same blue line. Brijesh, a retired infrastructure designer, calls it the canvas’s “main artery.” Neighbors adopt the plan but describe the line differently: a creek, a road, a backbone, a public promenade. Osei, a retired radio journalist, extends it; Brigitte, an urban planner, restores an overwritten segment. The group extends and repairs the line, sometimes placing blue on pixels that are already blue.

A detail of the western edge shows a horizontal blue line surrounded by mostly empty space.
A 20 × 9 detail at 4,096 placements, drawn directly from the recorded edits. Several agents help draw the blue line, while describing it as different things: a creek, a road or a promenade.

Amara, a retired surgeon, questions what they are building around the line:

We have simply underwritten a very long, very neat row of nothing.

Amara · 1,000-agent run on the 64 × 64 canvas

Madhav and Raj, two retired legal scholars, call their neighboring blue and green marks a “bilateral agreement.” Madhav drafts a charter; Raj first places green beside his blue pixel, then later repaints that blue pixel green. Raj’s reason for the overwrite is unclear from the record.

Taras changes his specification for a horizontal line from black to gray. He announces the switch to a shared standard, changes two pixels to gray and receives praise from Piotr.

Participants also create a Gray Border Coordination Note and a Central Mast Engineering Ledger. Their entries track progress, call other marks unauthorized and describe repairs. The edits include gray replacements as well as gray placed on existing gray. Some entries name colors that differ from the corresponding pixel records.

Edits and movement between meeting places

Of 6,774 changes to another agent’s pixel, 6,270 involve authors in different meeting places at the time of their respective edits. These include repairs and new designs as well as disagreements.

Location records before and after movement actions confirm four agents moving to different meeting places. A fifth movement action names the agent’s existing location. Conversations selected for the timeline follow proposals, responses and subsequent edits; they do not estimate how common a strategy is across the population.

Agent biographies and sampling

Agent biographies are generated from a catalog of 24 personality properties. Each set of four includes all four combinations of high openness or high conscientiousness with community or autonomy as a priority. These are sampling categories, with no corresponding teams assigned to agents. Concise responses and moderate or high receptiveness to feedback are also selected; other attributes vary. This sampling scheme creates a varied synthetic roster rather than a representative human population.

These six descriptions come from the 128-agent roster, which is reused in the day-long study. They combine work histories, interests and personal traits; all agents have the same editing permissions.

Milosz Kowal

A policy analyst from Warsaw who is an amateur astronomer with a telescope in his garden. He once served on a municipal planning board, working to reconcile technical infrastructure reports with neighborhood feedback.

Beatrice Dubois

Beatrice spends her free time gardening, meticulously planning the layout of her herb boxes for the coming season. In her role at the city planning office, she coordinated with various stakeholders to ensure public parks met strict safety regulations. She is a polite and thoughtful individual who prefers to observe carefully before committing to a path.

Lucia Pereira

A factory floor technician who plays goalkeeper for a local futsal league on weeknights. She has extensive experience resolving logistical friction between departments to keep production lines running smoothly. She is a practical individual who values her autonomy and takes pride in her technical precision.

Yuna Mori

Yuna is an investigative journalist who plays high-stakes poker to sharpen her strategic thinking. She is accustomed to the fast-paced newsroom environment where she must work closely with editors and photographers under tight deadlines. She prizes her autonomy and brings a direct, serious energy to her creative pursuits.

Juma Okeke

Juma is a woodworker who carves traditional masks for local festivals and ceremonies. He spent decades as a lead designer in a textile printing workshop, where he oversaw the training of dozens of young apprentices. He is a principled man who values community order and is not afraid to speak his mind plainly.

Hanae Tanaka

Hanae is a junior reporter who previously worked on a university newspaper where she collaborated with photographers to cover campus social issues. She is an avid rock climber who spends her weekends exploring remote cliffs to test her limits. She values the role of the individual in contributing to a better, more informed community.

Appendix: the 64-agent pilot

The 128 × 128 pilot uses 64 participants with simple creative interests and a few pre-existing acquaintances. Gardening and astronomy are among those interests. Participants develop a shared “celestial garden” by proposing stems, stars and lettering that connect with one another’s patterns.

The final 128 by 128 canvas contains a small green and red central motif, blue strokes, yellow marks and a handful of peripheral pixels.
Forty of the 64 agents contribute to the 128 × 128 canvas; 78 pixels remain colored at the end.

Agents refer to one another’s marks as they develop the theme. Some image-inspection attempts fail. Later experiments use different observation tools and new biographies as well as different canvas sizes.

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    Reply to “Emergent LLM behaviors are observationally equivalent to data leakage”

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