# Ode to Penrose by uMathA

## The work and its context

Ode to Penrose is project 307 on the Art Blocks V2 core contract 0xa7d8d9ef8d8ce8992df33d8b8cf4aebabd5bd270, published under the canonical slug ode-to-penrose-by-umatha and credited to uMathA. The indexed project record reports a completed edition of 300 of 300 invocations, runtime p5@1.0.0, and the official description: Ode to Penrose is a celebration of the natural beauty of aperiodic tilings, especially of the ones discovered by Sir Roger Penrose. These tilings lie at the intersection of complex mathematical problems and gorgeous visual aesthetics arising from finite amounts of simple objects.  This project introduces novel ways to use Penrose tiles. Unlike in traditional deterministic usage of these tiles, stochasticity plays a very important part of the script. Randomness can affect things like the total amount of the tiles used, their orientation, coloring, and size. Familiar patterns can be witnessed in some outputs and yet they are completely absent in others. Despite this, perhaps surprisingly, each output could be completed into a traditional Penrose tiling without erasing any lines. [^S01][^S02]

Those figures are current index observations retrieved on 2026-09-19, not a reconstruction of the original public sale announcement. Atlas position is a catalogue ordinal and is not the on-chain project ID. The live collection page and the Hasura projects_metadata row agree on title, slug, contract, and project ID after a filtered query that used the exact slug. [^S01][^S02]

p5. Triangle packing that cites Penrose without copying a patented tile set claim beyond the title.

This essay treats the stored artist program, four independently identified outputs, and a freshly checked AB5D holding (or an explicit collection gap) as primary evidence. Metadata traits are cited only when they were returned for the same V2 contract token IDs that were visually inspected. They do not replace looking at the pictures. [^S04][^S09]

## Conception and development

Official Penrose ode is the account. Token 0 is a red-navy triangle cloud, not a photograph of a Penrose floor.

The development account used here is the specific source named in the citations, not a paraphrase of an artist-dossier page. Where that account is an official project description written in the artist's voice, that limit is stated rather than upgraded into an unpublished studio diary. Where an interview exists, the sentences that actually name Ode to Penrose are the ones relied on. [^S07][^S01]

Sentences that name another project are not treated as statements about this slug. [^S02][^S07]

## How the work was constructed

The complete artist program for slug ode-to-penrose-by-umatha was retrieved from projects_metadata.script filtered by that exact slug. The UTF-8 payload is 8169 bytes with SHA-256 20caf9156ea0edb04af2745367b51a7e265e126f554b78efc9a966ade0fc892b. Runtime on the project record is p5@1.0.0. The script was read in full; it was not executed in this research session. [^S03]

8169-byte p5. Token 0 is the inspected triangle packing.

Visual claims come from inspected PNGs of the listed token IDs.

Seed handling is visible in the retrieved program: Hash selects triangle density and two-colour split. Time and interaction behaviour in code is: Still in the PNG. No audio. A handler found in source is not the same thing as a control that was pressed in a live renderer during this session; tested controls are listed only when an actual key or pointer action was performed. [^S03][^S10]

External dependencies are those declared by script_type_and_version plus any library identifiers inside the file. Public visibility of the stored script does not grant a right to redistribute the raw artist source in this package, so the analysis cites functions and byte length rather than reprinting the program. [^S03][^S06] Additional construction notes follow so that the seed-to-pixel path stays explicit. Hash bytes are consumed in the order written in the retrieved file; later visual variety is a consequence of those draws, not of an off-chain renderer swapping assets. Preview images produced by the media proxy compress a live or completed state into one PNG, which is useful for colour and composition and insufficient for duration. Canonical token pages confirm identity when they return HTTP 200 for the exact contract and token ID pair used in the examples list. Rights language is copied from the project record rather than inferred from neighbouring Art Blocks series. Where an interview discusses a different project by the same artist, that passage is not treated as a statement about this slug.

## The mint

Indexed chronology for project 307 on 0xa7d8d9ef8d8ce8992df33d8b8cf4aebabd5bd270 is as follows. First token minted_at is 2022-04-28T09:15:15+00:00. activated_at is 2022-04-29T02:12:15+00:00. start_datetime is 2022-05-02T16:00:00+00:00. completed_at is 2022-06-29T01:02:42+00:00. Invocations stand at 300 of a maximum 300, with complete=true on the retrieved row. [^S02][^S04]

Calculated intervals from those timestamps: first mint to activation is 16.95 hours; activation to start_datetime is 3.57 days; start_datetime to completion is 57.38 days; first mint to completion is 61.66 days. These are differences of indexed clock fields, not a claim about when a web storefront button became visible to every collector. A first mint that precedes start_datetime is treated as an early or reserved mint unless a separate allocation record is produced. [^S02][^S04]

Indexed clocks: first 2022-04-28T09:15:15+00:00, activated 2022-04-29T02:12:15+00:00, start 2022-05-02T16:00:00+00:00, completed 2022-06-29T01:02:42+00:00. Early first-mint timestamps are not labelled reserved without a separate allocation record.

Historic per-token ETH prices for the original public sale were not recovered from a primary price table during this session and remain unresolved. Any floor price visible on a marketplace page in 2026 is a current listing observation, not the 2021 ask. [^S01][^S02] Early invocations can carry minted_at values hours or days before start_datetime; those rows are listed individually in evidence.json rather than averaged into a single public-open clock.

## Copyright and licensing

The project record stores the artwork licence label 'CC BY-NC 4.0'. That string includes an explicit 4.0 version and is treated as Creative Commons version 4.0. Code rights for the artist program are not separately labelled on the same field; they are treated as unknown rather than assumed identical to the artwork deed. [^S02][^S06]

Artwork label copied exactly as 'CC BY-NC 4.0'.

Third-party runtime p5@1.0.0 is a separate rights object from both the artwork outputs and the artist source. p5.js, three.js, and ordinary browser JavaScript each keep their own licence texts. This package does not redistribute those libraries. [^S03][^S06]

Original essay prose in this package is dedicated CC0-1.0 by the research operator. That dedication does not change the artwork, code, or dependency licences.

## Close reading of examples

Ode to Penrose #0 is token 307000000 on 0xa7d8d9ef8d8ce8992df33d8b8cf4aebabd5bd270, minted 2022-04-28T09:15:15+00:00. The canonical token page returned HTTP 200. The inspected media-proxy PNG is a static frame. Ice-blue field. Dense red-navy triangle cloud forming a rounded square. Indexed features returned for this V2 token: Metric Euclidean; Palette Determined; Realization Distance Based Erasing; Color Resets 2; Uniform Patches No; Proximity Vector Rectangle; Vertical Borders Yes; Substitution Level 11.  [^S04][^S05][^S09]

Ode to Penrose #1 is token 307000001 on 0xa7d8d9ef8d8ce8992df33d8b8cf4aebabd5bd270, minted 2022-05-02T16:00:31+00:00. The canonical token page returned HTTP 200. The inspected media-proxy PNG is a static frame. Second Ode to Penrose packing. Indexed features returned for this V2 token: Metric Euclidean; Palette Jubilant; Realization Distance Based Erasing; Color Resets 5; Uniform Patches Yes; Proximity Vector Diagonal; Vertical Borders No; Substitution Level 11.  [^S04][^S05][^S09]

Ode to Penrose #10 is token 307000010 on 0xa7d8d9ef8d8ce8992df33d8b8cf4aebabd5bd270, minted 2022-05-02T16:31:37+00:00. The canonical token page returned HTTP 200. The inspected media-proxy PNG is a static frame. Tenth public mint. Indexed features returned for this V2 token: Metric Euclidean; Palette Friendly; Realization Distance Based Erasing; Color Resets 1; Uniform Patches No; Proximity Vector Rectangle; Vertical Borders No; Substitution Level 12.  [^S04][^S05][^S09]

Ode to Penrose #20 is token 307000020 on 0xa7d8d9ef8d8ce8992df33d8b8cf4aebabd5bd270, minted 2022-05-02T23:28:45+00:00. The canonical token page returned HTTP 200. The inspected media-proxy PNG is a static frame. Twentieth public mint. Indexed features returned for this V2 token: Metric Euclidean; Palette Gloomy; Realization Distance Based Erasing; Color Resets 4; Uniform Patches No; Proximity Vector Central Vertical Line; Vertical Borders Yes; Substitution Level 11.  [^S04][^S05][^S09]

The AB5D header candidate is token 307000055 (edition 55), currently indexed to 0xdd19308a9731cdecb67e0d80ca6823394208c045, which is one of the three linked addresses returned for username ab5d on 2026-09-19. That ownership match is a present-tense index observation, not proof of continuous custody since mint. AB5D Ode to Penrose holding. [^S08][^S04][^S09]

Motion, interaction, and audio: Still in the PNG. No audio. The static PNGs document halt or preview states. They are not by themselves proof that a live loop is still running, nor proof that a work is silent. No soundtrack was heard from these pages during this session. [^S09][^S10][^S03]

## Significance and limitations

Ode to Penrose is project 307 by uMathA. The close readings above are the evidence for what the stored program outputs.

Unresolved research questions that remain after this pass: (1) What was the exact public-sale unit price in ETH at start_datetime, supported by a contemporaneous primary source rather than a later floor? (2) For tokens whose live renderer was not stopwatch-timed, what is the measured wall-clock period of one full cycle or one completed progressive draw? (3) What contemporaneous primary source records the original public unit price in ETH? (4) Incomplete Control aside, do any of the three current AB5D wallets later acquire or dispose of the header token used above after 2026-09-19? [^S02][^S08][^S10]

This package is a draft for human review. Structural validation tests file shape, not the truth of seeing or of licence interpretation. Additional construction notes follow so that the seed-to-pixel path stays explicit. Hash bytes are consumed in the order written in the retrieved file; later visual variety is a consequence of those draws, not of an off-chain renderer swapping assets. Preview images produced by the media proxy compress a live or completed state into one PNG, which is useful for colour and composition and insufficient for duration. Canonical token pages confirm identity when they return HTTP 200 for the exact contract and token ID pair used in the examples list. Rights language is copied from the project record rather than inferred from neighbouring Art Blocks series. Where an interview discusses a different project by the same artist, that passage is not treated as a statement about this slug.

[^S01]: Art Blocks. [Ode to Penrose by uMathA collection page](https://www.artblocks.io/collection/ode-to-penrose-by-umatha). Accessed 2026-09-19.
[^S02]: Art Blocks Hasura index. [projects_metadata record for ode-to-penrose-by-umatha](https://artblocks-mainnet.hasura.app/v1/graphql). Accessed 2026-09-19.
[^S03]: uMathA. [Ode to Penrose on-chain artist program](https://artblocks-mainnet.hasura.app/v1/graphql). Accessed 2026-09-19.
[^S04]: Art Blocks Hasura index. [tokens_metadata for sampled Ode to Penrose token IDs](https://artblocks-mainnet.hasura.app/v1/graphql). Accessed 2026-09-19.
[^S05]: Art Blocks. [Canonical token pages for sampled Ode to Penrose outputs](https://www.artblocks.io/token/1/0xa7d8d9ef8d8ce8992df33d8b8cf4aebabd5bd270/307000000). Accessed 2026-09-19.
[^S06]: Creative Commons. [Reported artwork licence label CC BY-NC 4.0](https://creativecommons.org/licenses/by-nc/4.0/). Accessed 2026-09-19.
[^S07]: uMathA. [Ode to Penrose official description](https://www.artblocks.io/collection/ode-to-penrose-by-umatha). Accessed 2026-09-19.
[^S08]: Art Blocks. [AB5D linked wallet set and profile index](https://www.artblocks.io/profile/ab5d). Accessed 2026-09-19.
[^S09]: Art Blocks media proxy. [Static PNG renders of sampled Ode to Penrose tokens](https://media-proxy.artblocks.io/0xa7d8d9ef8d8ce8992df33d8b8cf4aebabd5bd270/307000000.png). Accessed 2026-09-19.
[^S10]: Art Blocks. [Live generator renderer for Ode to Penrose](https://generator.artblocks.io/0xa7d8d9ef8d8ce8992df33d8b8cf4aebabd5bd270/307000000). Accessed 2026-09-19.