The grand finish: the Legendre Marches, the Synth Range, the Ruler Land page, the Flyover and Light Cone 2

The last two survey items built as worlds, a shareable page that draws every range's law, a cinematic flyover on any link, and a Light Cone you build from the menu. Then the refactor.

The Legendre Marches at dawn: over the prime 4099, tile (a, b) is land when a² + 3b² is a quadratic residue and marsh when it is not. The character is balanced and its sums are bounded by theorem, so the fen never runs long in either, and the mean over nine tiles is a low hill of ±6 blocks. Along the axis the form is a square, so every axis tile is land: the causeway of squares, checked dry for 200 cells by the smoke.
▶ Go there gr-1-the-legendre-marches
The Legendre Marches at dawn: over the prime 4099, tile (a, b) is land when a² + 3b² is a quadratic residue and marsh when it is not. The character is balanced and its sums are bounded by theorem, so the fen never runs long in either, and the mean over nine tiles is a low hill of ±6 blocks. Along the axis the form is a square, so every axis tile is land: the causeway of squares, checked dry for 200 cells by the smoke.
The Synth Range at night: square waves synthesized to order. txs.synthesize found the twelve shift sets whose exact spectrum meets periods 4, 8 and 16 at coordinates 6, 12 and 24; the cheapest, (2,), is tapped along the range at 6, 12, 24 and 48, and the register (1, 2) across it at 5, 10 and 20, each tap weighted by the ladder, one generation per eight cells, terraced with the ladder's ramps. The tables are measured from a single-cell seed in both twins and come out with the periods the spec asked for.
▶ Go there gr-2-the-synth-range
The Synth Range at night: square waves synthesized to order. txs.synthesize found the twelve shift sets whose exact spectrum meets periods 4, 8 and 16 at coordinates 6, 12 and 24; the cheapest, (2,), is tapped along the range at 6, 12, 24 and 48, and the register (1, 2) across it at 5, 10 and 20, each tap weighted by the ladder, one generation per eight cells, terraced with the ladder's ramps. The tables are measured from a single-cell seed in both twins and come out with the periods the spec asked for.
The Ruler Land page, wander/land.html: fourteen ranges, each with its law's profile drawn by rulerland.js itself, 1,024 columns across the gate of region 0, the law's knobs, the prize count and the gate's column, and three links: Fly (a helicopter with the Flyover running), the gate (a warp link) and a walk in. The page to send people to.
▶ Go there gr-3-the-ruler-land-page
The Ruler Land page, wander/land.html: fourteen ranges, each with its law's profile drawn by rulerland.js itself, 1,024 columns across the gate of region 0, the law's knobs, the prize count and the gate's column, and three links: Fly (a helicopter with the Flyover running), the gate (a warp link) and a walk in. The page to send people to.
Further down the Ruler Land page: the Alps under the max law, the Dyadic Isles, the Canyons, the Walsh Mesas, the Gaussian Isles, the Dunes and the Sudoku Mesas, each profile with its water line and the pink mark of its gate.
▶ Go there gr-4-the-ruler-land-page-further-down
Further down the Ruler Land page: the Alps under the max law, the Dyadic Isles, the Canyons, the Walsh Mesas, the Gaussian Isles, the Dunes and the Sudoku Mesas, each profile with its water line and the pink mark of its gate.
The Flyover over the Ruler Alps, started by a link (flyover=1): the Tour's six biggest hills, then the region's warp gate and two prizes, then home, flown high and wide without landing, the camera circling each place. Any Wander link takes flyover=1; the Flyover button does the same.
▶ Go there gr-5-the-flyover-over-the-alps
The Flyover over the Ruler Alps, started by a link (flyover=1): the Tour's six biggest hills, then the region's warp gate and two prizes, then home, flown high and wide without landing, the camera circling each place. Any Wander link takes flyover=1; the Flyover button does the same.
The Flyover over the Light Cone, mid-pass, the middle wall's lace below. The front page's first chip opens exactly this.
▶ Go there gr-6-the-flyover-over-the-light-cone
The Flyover over the Light Cone, mid-pass, the middle wall's lace below. The front page's first chip opens exactly this.
The Wander menu now leads with the Ruler Land: the Light Cone flown, the Ruler Land page, then every range with a flight in, and below them the Light Cone 2 forge.
▶ Go there gr-7-the-wander-menu-with-the-ruler-land-up-top
The Wander menu now leads with the Ruler Land: the Light Cone flown, the Ruler Land page, then every range with a flight in, and below them the Light Cone 2 forge.
A Light Cone 2 built from a link: walls=xor,or,comb,xor, gap 120, depth 30, three blocks a bit. Each wall takes its driver from the link and its spans are checked against coneSpans for that driver; between the walls there is no stone. The share link keeps the walls.
▶ Go there gr-8-a-light-cone-2-with-four-walls
A Light Cone 2 built from a link: walls=xor,or,comb,xor, gap 120, depth 30, three blocks a bit. Each wall takes its driver from the link and its spans are checked against coneSpans for that driver; between the walls there is no stone. The share link keeps the walls.
The Light Cone 2 forge on the Wander menu: pick up to five walls and their drivers, the depth of the lace, the blocks a bit, the gap and a craft, and the Build link composes the address, with the Flyover switched on so the world shows itself. Three presets beside it.
▶ Go there gr-9-the-light-cone-forge-on-the-menu
The Light Cone 2 forge on the Wander menu: pick up to five walls and their drivers, the depth of the lace, the blocks a bit, the gap and a craft, and the Build link composes the address, with the Flyover switched on so the world shows itself. Three presets beside it.