• Black Strange Attractor physics hoodie, pixel-art Lorenz attractor design, worn by a model, front close-up
  • Black Strange Attractor physics hoodie, pixel-art Lorenz attractor design, worn by a model, back close-up
  • Black Strange Attractor physics hoodie, pixel-art Lorenz attractor design, front view
  • Black Strange Attractor physics hoodie, pixel-art Lorenz attractor design, back view
  • Black Strange Attractor physics hoodie, pixel-art Lorenz attractor design, turning on a model
  • Black Strange Attractor physics hoodie, ΨP Pixelated Physics neck label
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Strange Attractor HoodieNEVER THE SAME LOOP TWICE | Pixelated Physics

Strange Attractor Hoodie – NEVER THE SAME LOOP TWICE | Pixelated Physics

$54.99 USD
$54.99 USD
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Shipping calculated at checkout. Free US shipping · $10 flat shipping outside the US.
Color
Black
Size
S–5XL
Made
To order · shipping times

Three equations, three variables, no randomness anywhere. Edward Lorenz wrote them in 1963 as a stripped-down model of convection, a fluid heated from below. The Lorenz attractor, σ = 10, ρ = 28, β = 8/3: three equations whose path never repeats or settles. Deterministic, not predictable. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.

Color
Size

Size guideS–5XL · inches

Details

Size & fitS–5XL

Unisex Heavy Blend hoodie (Gildan 18500), classic fit.

SizeWidthLengthSleeve
S202733.5
M222834.5
L242935.5
XL263036.5
2XL283137.5
3XL303238.5
4XL323339.5
5XL343440.5

Measurements in inches. Width and length ±1 in, sleeve (from center back) ±0.75 in.

ShippingFree US

Free US shipping. $10 flat shipping outside the US.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Three equations, three variables, no randomness anywhere. Edward Lorenz wrote them in 1963 as a stripped-down model of convection, a fluid heated from below.

With σ = 10, ρ = 28 and β = 8/3, the solution never settles and never repeats. It loops around one of two unstable fixed points, at x = y = ±8.485, z = 27, then switches to the other, on a schedule that looks random but is not. The art is the path itself, 400,000 Runge–Kutta steps projected onto the x–z plane, brighter where it passes more often.

Two starts that differ in the sixth decimal place track each other for a while, then part completely. Lorenz found this by accident, restarting a run from rounded numbers. His paper’s title says it: deterministic nonperiodic flow.

Whether the attractor truly exists, and is not an artefact of the computer, stayed open until Warwick Tucker proved it in 1999 with a computer-assisted proof.

Deterministic. Not predictable. Never the same loop twice.

Equations

\[\dot{x} = \sigma(y-x)\]
\[\dot{y} = x(\rho-z) - y\]
\[\dot{z} = xy - \beta z\]
\[\sigma = 10,\; \rho = 28,\; \beta = 8/3\]
SymbolMeaningUnit
\(x\) intensity of convective motion \(\mathrm{1}\)
\(y\) temperature difference between rising and falling currents \(\mathrm{1}\)
\(z\) departure of the vertical temperature profile from linear \(\mathrm{1}\)
\(\dot{x}, \dot{y}, \dot{z}\) rates of change with respect to time \(\mathrm{1}\)
\(\sigma\) Prandtl number \(\mathrm{1}\)
\(\rho\) Rayleigh number, scaled to its critical value \(\mathrm{1}\)
\(\beta\) geometric factor of the convection cell \(\mathrm{1}\)

Sources

  1. Lorenz (1963) Deterministic Nonperiodic Flow, J. Atmos. Sci. 20, 130
  2. Tucker (1999) The Lorenz attractor exists, C. R. Acad. Sci. Paris Sér. I 328, 1197
  3. Strogatz, Nonlinear Dynamics and Chaos, Ch. 9: Lorenz Equations
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