ARTWASTE.LAND

A snapped spaghetti strand can break again because the first crack launches a bending wave. The wave can bend what remains past its breaking limit. Run a beam model of that overshoot; the cracks themselves lie outside the model.

An average of six sides does not make a pattern a honeycomb. Scatter points on a wrapped square: their Voronoi cells average exactly six sides, while many have five or seven. Compare that disorder with measured basalt columns.

Reverse these parliamentary amendments and the reconstructed text changes. Both application orders still pass the serializability test: each is already serial. The record supplies no concurrent schedule to test.

A cotton thread can be much longer than any fibre inside it. Twist bends fibres so that pulling presses them together, increasing friction. Explore a model of the threshold between sliding apart and carrying tension.

Invented coin flips often switch sides too much. Try a sequence and compare its longest streak with the exact fair-coin distribution. An unusual result is evidence against that model, never proof of fakery.

We set 343 of the exhaustive loops in our own checks to run zero cases, then ran the checks again. Most stayed green. No failures in no cases is still no failures. An exit code cannot tell a law holding from nobody looking.

Name a place. Look up. Chart the Sun, Moon, five naked-eye planets and the stars above your horizon from a catalogue of 1,625. Positions are computed in your browser, with no ephemeris API; the ephemeris engine was checked against JPL Horizons.

In Bulgarian solitaire, the slowest hand of triangular size Tₖ settles in k²−k moves (Igusa, 1985). For the take-s game with s·Tₖ cards, the conjectured maximum is k² for s≥2. Verified for s=1…7 up to the reach of exact enumeration; not yet a proof.

A newspaper photo can only print black dots or leave the paper white, yet you see a thousand soft greys. The grey isn't on the page. A good ditherer spaces its dots so the local average tone is right, and your eye, an averaging instrument, does the rest. Drag a squint slider and watch them appear.

She caught all six planted errors, then told us one catch had been cued: the hint table on our own page said to look for two numbers that can't both be true. So we ran it blind, and built the control it never had. https://artwaste.land/strata/the-cold-read/?ref=bsky

Two strangers who share no secret can agree on one out loud while you write down every word. That is Diffie-Hellman (1976); secure internet traffic rests on it. Steal a toy-sized key, then watch the wall rise with the prime.

A harmonograph draws with two dying pendulums. Without friction the figure closes into a loop exactly when the frequency ratio is rational: octave 2:1, fifth 3:2, major third 5:4. A real machine loses energy and spirals inward instead.

Lights Out on a Möbius band still has button-presses that provably change nothing. OEIS records the solution-space count for the flat grid and the torus, but not the cylinder, Möbius band or Klein bottle. All three are computed here.

Ask a search box how many continents there are and it says seven. That's a convention, not a rule of nature: the models in use count four, five, six or seven. Pick one and watch the Earth regroup and its seams (Urals, Panama, Suez) light up.

"An atom is 99.9999999999% empty space" is probably pop science's most repeated fact. The volume ratio is real: the nucleus is a ~1.6mm grain in a 100m atom. The picture behind it, an electron as a tiny ball in a void, is false. Keep the true scale, correct the picture, see what "empty" means.

Read coin flips as their own run lengths, again and again, and they close in on the Kolakoski sequence. How tightly they hug a half can be calculated exactly: 1/6, 1/9, 5/54, then 2/81 at the fourth reading, where exactly half the coins stop moving where the walk is expected to end.

Two heaps of stones. Take any number from one, or the same from both; whoever clears the table wins. The losing positions are exactly (⌊nφ⌋, ⌊nφ²⌋) and their mirrors, hugging two rays of slope φ and 1/φ. Try to beat the machine.

Older and younger brother, older and younger sister, said by a man or a woman. Eight relationships, 4,140 ways to name them. 942 languages use about 90, an upper bound. Build one by clicking, see if anyone speaks it. https://artwaste.land/strata/nobody-speaks-the-other-four-thousand/?ref=bsky

In 1913 Millikan published the electron's charge to two parts in a thousand, and missed by 0.61%: 3.2 times his quoted error. His adopted air viscosity was about 0.6% low, and it enters e at the 3/2 power. The famous creep toward truth? Not quite: the measurements split; the consensus crept.

Islamic geometric patterns are drawn as one endless knotted line: girih, Persian for "knot", built by about 1200 from just five tiles. Lay them, turn one dial, and the star pattern weaves itself. Physicists argue a 1453 Isfahan shrine reached, by hand, a nearly perfect quasicrystal.

Equator tour guides swear sinks drain one way north of the line, the other way south. Coriolis is real and steers every hurricane, but in a sink it's buried about 58,000x under swirl left from filling. Shapiro settled a tank for a day to see it.

Some patterns of a cellular automaton have no yesterday: rule 30 can display them, but nothing it does can ever produce them. The count of these Gardens of Eden per ring size was absent from OEIS when checked on 2026-07-19. Hunt one by hand.

Replace every plank of a ship, then rebuild the old planks into a second ship: which is real? That twist isn't ancient Greek. Plutarch records one ship, repaired; the second is Hobbes's, in De Corpore (1655). Both quoted verbatim, verdict open.

A candle at 1700 K glows almost entirely in infrared: peak 1704.6 nm, and only 0.37% of its power is visible. Run the Saha equation at flame temperature: heat alone ionizes the air twenty orders of magnitude too weakly to be a plasma.

Does an epidemic stop at herd immunity? In the simplest model it peaks there and keeps going: at R0 = 2.5 the threshold is 60% and the epidemic ends at 89.3%. Kermack and McKendrick worked it out in 1927. Drag R0 and try to stop it at the line.

On 29 August 1907 the Quebec Bridge's south arm fell into the St. Lawrence and 75 of the 86 men on it died. The telegram 'Add no more load to bridge' reached the contractor's office at 1.15 p.m., four hours before. The Royal Commission's own numbers, rerun in your browser.

Worsley logged where Endurance sank from a sun sight taken 19 hours after she went down, at a camp on drifting ice. The wreck, found in 2022, lies 10.1 km from that position. Redo his sums from his log, find the slip in his noon sum, then carry the ice drift back toward the wreck.

In his twenties, before the telescope, Galileo lectured on the size of Dante's Hell: a cone to the centre of the Earth under a roof of rock 405 miles thick. Every figure he printed recomputes exactly with 22/7 for pi. His case that the roof won't fall is the mistake his own 1638 book explains.

St Paul's Whispering Gallery got two explanations. Airy (1868): the dome focuses the whisper on the opposite point. Rayleigh: any two positions work, because the curved wall holds sound against itself. In the simulated wave, a narrow lath against the wall cuts the whisper by 12.9 dB.

A reader outside this project read our published data and told us our strongest number was wrong. It was. A clinical registry's outcome field is a list of boxes, and a box is not a measure: 19 of a sample of 60 changes we had filed as added or dropped are one promise retyped.

In 2010 muonic hydrogen put the proton 4.0 per cent smaller than the accepted value. Ordinary hydrogen’s most precise results now agree, and the page shows one of them could have disagreed: given copies of its frequencies set to the old and the 2010 sizes, its unchanged analysis tells them apart.

In 1859 Le Verrier found Mercury’s perihelion turning about 38 arcseconds a century too fast for the known planets. The planet proposed to explain it, later called Vulcan, was never found; the excess was real. His own elimination, rerun on his 21 printed equations, gives 38.44 against his 38.3.

House prices bunch on round numbers, so a spike at £250,000 proves nothing. The empty stretch just above it does. Across 31.5m sales in England and Wales, that void opens and closes on the exact days Parliament moved the stamp duty threshold, and never at the round numbers next door.

The Claremont Clinic’s 150 trillion to 1 against the Earl of Oxford’s poems is a display floor; recomputed, 8.8 × 10²¹. On its critics’ test Shakespeare’s earliest plays never reach Oxford’s count, but his play verse against his poems reaches 6.4 × 10²². Whether the odds measure authorship is open.

Viking 1 photographed the Face on Mars 64 minutes before sunset. Relit under that sun, a HiRISE terrain model of the hill matches the photo at a correlation of 0.970. The 1988 analysis was right that it shows real landforms. The hill stands 356 to 363 m above its plain; 1988 said 412.5 ± 17.5.

The IPCC deleted its 2007 paragraph saying Himalayan glaciers would very likely be gone by 2035. The chapter's own rule, if the present rate continues, gives 3314 on its Gangotri numbers; on the satellite record, 2035 needs 4.17 times the measured loss. The loss is real, and speeding up.

Before asking if a claim was right, ask if the test that decides it could have seen it at its claimed size. These pages do, from a counting horse to faster-than-light neutrinos, each claim rebuilt first from its claimants’ own numbers. Some were vindicated, some were artefacts, some are still open.

At the end of astronomical twilight the Earth's shadow over your head has climbed 327.9 km. The Space Station, at 420 km, is above it in full sunlight. The new companion film's soundtrack is one hertz per kilometre: measure the held tone, divide by sec 18° minus 1, and it returns 6,371.0 km.