What the Library is, and how to read it.

1. Nothing filed yet.

One atomic, checkable fact per page.

1. 2.1 AreaNuna's area is d², the square of its own width. Compiled
2. 2.2 Perimeter3πr — six quarter-circle arcs of one radius, and nothing else. Draft
3. 2.3 Heightr(2+3√2)/2, about 3.1213r, read off the four-circle construction. Draft
4. 2.4 Width2r, which is also d, the diameter of the founding circle. Draft
5. 2.5 The diamond's area(4−π)r², the sum of four quarter-circle offcuts. Draft
6. 2.6 Lattice spacingAdjacent lattice points sit exactly r√2 apart. Draft
7. 2.7 The parity ruleA lattice point is a circle when i+j is even, a diamond when odd. Contested
8. 2.8 The tiling-count matchDomino-tiling counts on the lattice reproduce OEIS A004003. Draft
9. 2.9 The 1,157Sixteen arrangements, one exclusion rule, exactly 1,157 legal combinations. Verified
10. 2.10 717 connected shapesOf the 1,157, exactly 717 fuse into a single connected shape. Draft
11. 2.11 The counting lawQ − O = 4 − k. Under four pieces leaves quarter-discs nothing absorbs. Draft
12. 2.12 The wave is the silhouetteThe board's wave line and any arrangement's outer edge are one curve. Draft
13. 2.13 The constructionFour equal circles tangent in a square; one kept whole, the void kept, one line erased. Open
14. 2.14 SymmetryOne mirror axis, no rotational symmetry, therefore four orientations. Open
15. 2.15 The tile is a dominoEvery placement covers exactly one circle cell and one diamond cell. Open
16. 2.16 The isoperimetric ratioA/P² = 4/(9π²) — about 57% of what a circle of equal perimeter holds. Open

The work too large to state in a sentence.

1. 3.1 The cousins507 placements reducing to 73 canonical shapes, sorted by corners returned. Shelved
2. 3.2 The combination-shape families317 families under D₄, and why the reference says 362. Shelved
3. 3.3 The three formsA grid with a line erased, a circle cut from a square, a run of waves. Shelved
4. 3.4 Parity and the boardWhy tile-count parity, not skill, decides whether a game can end drawn. Shelved
5. 3.5 Company without pairs20 of 36 companions only ever appear in threes or more. Shelved
6. 3.6 Nuna-shaped pixelsThe case for a rendering lattice built on this tile instead of the square. Speculative
7. 3.7 Graph-colouring connectionsWhether the exclusion rule is a face of something more general. Speculative
8. 3.8 Six-tile groupingsThe design space past k = 6, still without a tool to sift it. Open
9. 3.9 Tessellation, classifiedWhich combination-shape families actually tile the plane. Open
10. 3.10 The holesThe shapes that cannot close, and what they say about the ones that can. Open

Plates and catalogues held whole rather than described.

1. 4.1 The 1,157, in fullEvery legal 16-point combination, drawn, on one plate. Planned
2. 4.2 The combination-shape datasetAll 317 families as a browsable plate rather than a working file. Planned
3. 4.3 The cousin dataset73 families and their relations, complete. Planned
4. 4.4 Pairs and beyondThe companion catalogue, from pairs up through thirteen-shape sets. Planned
5. 4.5 A New Shape, original platesThe source book's own proofs and diagrams, preserved as drawn. Planned
6. 4.6 The 24-point badgeReserved. Empty until the enumerator returns a count worth trusting. Reserved

Every model built, in order, including the ones that were replaced.

1. 5.1 The 16-point badge model28 Jul. The first model. Four rebuilds before the docking geometry was right. Archived
2. 5.2 The badge shapes30 Jul. Exact-arc silhouettes, both badges; a missing B–X exclusion found and fixed. Archived
3. 5.3 The frame sketch30 Jul. Superseded. Where the two-round-two-sharp corner claim was tested and failed. Superseded
4. 5.4 The first plates1 Aug. How it's made, area, circumference, compiled, plus the 3D tile mesh. Archived
5. 5.5 The board instrument4 Aug. Size slider, orientation toggle, wave overlay, SVG export. Archived
6. 5.6 The enumerator kernel10 Aug. Two counting engines cross-checked. 69 tests. Archived
7. 5.7 The gold logo lab18 Aug. Superseded. The wave-as-snake direction, before the ambigram. Superseded
8. 5.8 The game simulator22 Aug. The dashboard everything else forked from. Archived
9. 5.9 The pattern generator23 Aug. Groupings pack and the two-tone index. Built
10. 5.10 Green23 Aug. Dice from the di-nuna polyforms, printable nets, tumbling die. Scoped
11. 5.11 Black29 Aug. The flagship territory game. Built
12. 5.12 The cousins catalogue6 Sep. Reference, poster, pattern tool, batch-one model. Built
13. 5.13 The ambigram tool6 Sep. Fourteen versions to the wordmark. Superseded
14. 5.14 The ribbon wordmark7 Sep. The junction resolved as a fold. Asset kit. Built
15. 5.15 Red7 Sep. Circular, then spherical, then a pole-to-pole race. Built
16. 5.16 White8 Sep. The paint board, the embed, the 317-family dataset. Built
17. 5.17 Blue11 Sep. Deep Water, the style labs, the seven-beat choreography. Built
18. 5.18 Stacker12 Sep. Custom rigid-body physics on a wave-profile base. Built
19. 5.19 The puzzleScoped. Bring a photograph, choose a pattern, cut it and rebuild it. Scoped

The shape out in the world, at the scale of a room.

1. 6.1 PaversThe shape cast at walking scale: mould, draft angle, tolerance, weight. Draft
2. 6.2 BrickThe shape at masonry scale, and what a course of it does to a wall. Draft
3. 6.3 TileCeramic and wall work — ancestor of the gallery photographs. Draft
4. 6.4 Linoleum and sheet flooringPrinted and inlaid, where the repeat is cut rather than laid. Draft
5. 6.5 Interlocking laminateA click-lock profile that still leaves all four orientations reachable. Open
6. 6.6 Edges and transitionsBorder and threshold pieces, and planning a floor as a bounded room. Open
7. 6.7 TextileWeave and print, where the repeat has to survive being folded. Draft
8. 6.8 WallpaperRepeat patterns fitted to a wall, and to specific arrangements. Draft
9. 6.9 Interior mockupsRooms with the shape inhabited rather than merely patterned. Draft
10. 6.10 The physical boardHow Black becomes an object: material, fabrication, components. Draft
11. 6.11 Where it already wasInstances found rather than made. Ornament, paving, textile that turns out to be this. Open

1. 7.1 OriginsHow the shape was first noticed, before there was any maths for why it worked. Draft
2. 7.2 Why “nuna”Reserved. The name's own story. Reserved
3. 7.3 A New Shape, revisitedThe relationship to the original book now, and what has moved since. Draft
4. 7.4 The parity bugThe morning something long trusted turned out to be wrong. Draft
5. 7.5 First matchThe moment a count first landed on the number it was supposed to. Draft
6. 7.6 What didn't surviveConstructions and explanations that were tried and let go. Draft
7. 7.7 On depth as the real protectionWhy the choice was openness and originship rather than enforcement. Draft
8. 7.8 Where it goesWhat a world with this shape in it looks like, written forward. Open