Updates

What has changed in the Atlas, newest first. New tilings are shown as they arrived; drag to pan, scroll to zoom, tap one to explore it (drag to pan, pinch to zoom), or open any of them where it lives.

55 releases · since 9 Jul 2026

Keyframed GIF animations in three geometries

v1.46.0 · 21 Oct 2026feature

New in the atlas

  • 6,557,818 more hyperbolic tilings arrived from Marek Čtrnáct.
    • 24 hybrid boards hold 5,327,031 tilings that mix polygons of several sizes at one edge length, apeirogons among them, where the shelf held one board of 11,854.
    • {3,11} and {3,14} are complete: {3,11} gains k = 3 with 556,796 tilings and {3,14} gains k = 2 with 685,845, the two slices their census listed as missing.
    • The 6,034 certificates of the 2.9387 system stay out, since each joins vertices that close at two different edge lengths.

New features

Fixed

Frames of polyforms on ten grids

v1.45.0 · 20 Oct 2026feature

New in the atlas

New features

Fixed

Heesch numbers on eleven polyform grids

v1.44.0 · 20 Oct 2026feature

New in the atlas

New features

Articles beside every shelf

v1.43.0 · 20 Oct 2026feature

New features

Changed

Fixed

  • Three corrections from the sources: pentagon Type 9 is Rice's (1976), not Kershner's; Bays' hexagonal Life is B2/S35; the hat's mirrored share is 1 in φ⁴ + 1, about 1 in 7.85.
  • Spherical thumbnails crop to their frame and fade in again; a missing space had turned off both.

Tegula's topological tilings

v1.42.0 · 18 Oct 2026feature

New in the atlas

New features

Changed

  • The image export of a disk board opens on a square frame, so the Poincaré disk is no longer padded with empty margins.

Fixed

Hybrid boards with apeirogons and a faster hyperbolic disk

v1.41.0 · 5 Oct 2026feature

New in the atlas

New features

Faster

Noble polyhedra and credits

v1.40.0 · 5 Oct 2026feature

New in the atlas

New features

Fixed

  • The Dual view of about forty noble polyhedra drew scattered points where it now draws the dual.

Fixes to the phone layout

v1.39.1 · 26 Sep 2026patch

Changed

  • The a.b.c.d boards are called 4-valent boards in the hyperbolic catalogue.
  • Opening the filters looks the same on every page, and Reset view and Fullscreen sit together in the top right corner of every canvas.

Faster

Fixed

A phone layout for every page

v1.39.0 · 25 Sep 2026feature

New features

Changed

Fixed

  • The landing page counts the whole catalogue, 2,344,403 tilings, where it said over 37,000.
  • Hyperbolic polygon boards are named as polygon sets, "3,4,4,8", so a board no longer reads as a vertex configuration, and each card lists its tiling's vertex figures.
  • Entering the editor keeps every edge. Edges between a tile and its own translate, every edge of the hexagonal tiling among them, no longer vanish.

A tiling editor on /play

v1.38.0 · 24 Sep 2026feature

New features

Changed

Fixed

  • Tooltips over the canvas can be read again. They were drawn underneath it, and a greyed-out option now says why it is unavailable.

271 complete hyperbolic boards

v1.37.0 · 6 Sep 2026feature

New features

Faster

  • Picking a board loads only that board's shards, where a k chip used to pull that k from every board at once and build hundreds of megabytes of heap.

Fixed

Genus solids on the spherical shelf

v1.36.0 · 6 Sep 2026feature

New features

Changed

Fixed

  • Every spherical and hyperbolic link opened the wrong tiling; the projection toggle rolled the view on the next click; the rhombic bubble board coloured a tile as its own mirror image.

Bubble tiles

v1.35.0 · 24 Aug 2026feature

New in the atlas

  • The tiles are Katsushika Hokusai's, drawn in 1824 and named by Lauren Siegel of MathHappens in 2023; this catalogue follows the 2026 study by John Chase, Will Field and Alex McCluer.

New features

Polyhedra with regular faces

v1.34.0 · 23 Aug 2026feature

New features

Changed

Fixed

  • The landing page counted 124 spherical tilings when there are 355.

Star polyhedra on the sphere

v1.33.1 · 20 Aug 2026patch

New in the atlas

New features

Changed

  • A face is coloured by its polygon, on the by-side-count ramp the Euclidean tilings already use, with a violet to magenta arc kept for the star faces.

Fixed

  • Twenty of the 54 star polyhedra were drawn with holes, filled from the wrong crossing ring, which cost a {12/5} face 18.5% of its area and an {8/3} 8.6%.
  • Two rows in the catalogue were wrong about what they held, one of them vanishing when you clicked it.
    • A collection that had not loaded yet could be listed under the wrong geometry, and disappeared when opened.
    • The one star polyhedron whose signed density cancels to 1 while its faces plainly cross now lists under Density unresolved.

Squared rectangles from polyhedra

v1.30.0 · 19 Aug 2026feature

New in the atlas

  • On the torus there is no battery edge, so the choice becomes a direction you drag: 24 records, snapping to the exact integer classes.

New features

Smaller shelf files

v1.28.1 · 18 Aug 2026patch

Faster

Fixed

Tilings that are not edge-to-edge

v1.28.0 · 18 Aug 2026feature

New in the atlas

New features

Changed

  • 27,362 half-polygon tilings have been withdrawn. They were real, but they came from a search that could not divide an edge, so the slices holding them counted a subset while reading as a complete enumeration.
    • the halved hexagon now stops at k = 6 and the halved pentagon at k = 9: each board lists only the k it can enumerate with divided edges allowed
    • nothing else changed shelf: the halved triangle, the second hexagon cut and the domino were already inside their own ceiling

Fixed

  • A fifth of the 45-45-90 shelf was being discarded before it shipped. That shelf recognised two tilings as the same by comparing a small patch of each, and at 16 tiles per cell a patch that size cannot tell them apart; the comparison is now exact.
  • Squares on that shelf were filed as triangles, so picking the square in the polygon filter never found them.

Regular polygons cut in half

v1.26.0 · 15 Aug 2026feature

New in the atlas

Thirty new edge-marked boards

v1.22.0 · 15 Aug 2026feature

New in the atlas

Fixed

  • Curved tiles with a deeply bowed edge draw correctly. Bending one far enough cut a notch the old triangulation could not see, and it painted outside the tile.

Error pages that draw a tiling

v1.21.0 · 15 Aug 2026feature

New features

  • The error and 404 walls open on a real tiling instead of a blank page, with a live pick from the atlas replacing the seeded one as soon as it loads.

The twelve isohedral types that live in their marks

v1.16.0 · 5 Aug 2026feature

New in the atlas

New features

Changed

  • Lines thin toward the rim of the lens instead of fading out at full width, so a pattern greys through its own texture.

Fixed

The inversive view on the isohedral and pentagon families

v1.15.0 · 5 Aug 2026feature

New features

Fixed

Clearer lines on the hyperbolic disk

v1.14.1 · 5 Aug 2026patch

Fixed

Eight new boards across three geometries

v1.14.0 · 5 Aug 2026feature

New in the atlas

New features

Fixed

Edge systems on parametric tiles

v1.13.0 · 4 Aug 2026feature

New in the atlas

New features

Fixed

Two new shelves: isohedral and pentagons

v1.12.0 · 31 Jul 2026feature

New in the atlas

New features

Fixed

Corrections to the Schwarz counts

v1.11.0 · 29 Jul 2026feature

New in the atlas

New features

Changed

Fixed

  • The (2,3,6) k=5 slice is gone: it came from a solver build that has been retired.

The mixed shelf grows to 83

v1.6.1 · 25 Jul 2026patch

New in the atlas

  • 41 mixed families were cut short; widening them to their true limits opens 3,015° of new sweep.
  • 12 new families from the 30/150 rhombus take the shelf from 71 to 83.

Changed

  • Families that join now share one continuous slider instead of appearing as separate entries.

Islamic patterns and the spherical shelf

v1.3.0 · 20 Jul 2026feature

New in the atlas

New features

Entries before 30 July 2026 were reconstructed from the commit history, and are coarser than the ones written at release time.