{"title":"Hoodies","description":"\u003cp\u003eEvery Pixelated Physics hoodie in one place. Black, printed to order.\u003c\/p\u003e","products":[{"product_id":"probability-cloud-pixel-hoodie","title":"Probability Cloud Hoodie – PROBABLY HERE | Pixelated Physics","description":"\u003cp\u003eThis is not a picture of where the electron goes. It is a map of where you would find it if you looked. Hydrogen’s 5f orbital, |ψ₅₃₀|² sliced through the xz-plane: one radial node at 20 a₀, three angular. The electron is probably here. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50409638920295,"sku":"31756282834400891105","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50409638953063,"sku":"17124109822158912921","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50409638985831,"sku":"12684423878907101059","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50409639018599,"sku":"11353982464986934559","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50409639051367,"sku":"23331420640204160335","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50409639084135,"sku":"12902257333798007913","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50409639116903,"sku":"30109412353709660848","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50409639149671,"sku":"14063629460241083296","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_63bb29ac-26f7-4204-b881-df29874703d4.jpg?v=1791592357"},{"product_id":"photon-sphere-pixel-hoodie","title":"Photon Sphere Hoodie – EVEN LIGHT GOES AROUND | Pixelated Physics","description":"\u003cp\u003eFar from a black hole, light runs straight. Close in, it bends. At one radius it can run in a circle. Exact light paths past a Schwarzschild black hole. At r = 3GM\/c² a photon can circle, unstably; one nudge and it falls or escapes. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50409643606119,"sku":"30760214781468522038","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50409643638887,"sku":"23012437203463843286","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50409643671655,"sku":"17491417754747891609","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50409643704423,"sku":"14396686066715696034","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50409643737191,"sku":"31968098022186942643","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50409643769959,"sku":"20726081919485507265","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50409643802727,"sku":"11884829368349109933","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50409643835495,"sku":"16570903534732098263","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_2e26cc69-f80d-48f4-9ac2-22066ee9bc62.jpg?v=1791592369"},{"product_id":"field-lines-pixel-hoodie","title":"Field Lines Hoodie – START POSITIVE | Pixelated Physics","description":"\u003cp\u003eFour charges sit on the corners of a square: plus, minus, plus, minus. Total charge zero. Total dipole moment zero too. What is left is a quadrupole. The exact field of an electric quadrupole, +q −q +q −q. Every line leaves a positive charge, ends on a negative one. Net charge zero. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50409645736039,"sku":"20411706540949114603","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50409645768807,"sku":"73082560942721432499","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50409645801575,"sku":"29988634328897424908","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50409645834343,"sku":"13656489791661740331","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50409645867111,"sku":"33944592502708140963","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50409645899879,"sku":"29226597466015695643","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50409645932647,"sku":"31908000119923392676","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50409645965415,"sku":"24820476940365250582","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close.jpg?v=1791592339"},{"product_id":"nodal-lines-chladni-pixel-hoodie","title":"Nodal Lines Hoodie – STILLNESS IS A PATTERN | Pixelated Physics","description":"\u003cp\u003eBow the edge of a metal plate dusted with sand and the sand moves. It runs off the parts that shake and settles on the lines that stay still. A Chladni figure: sand on a vibrating square plate gathers on the lines that do not move. Mode (7,3), drawn from the plate equation. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50409647865959,"sku":"19346989105308367172","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50409647898727,"sku":"86803810137500417276","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50409647931495,"sku":"74027909290202014159","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50409647964263,"sku":"14049863111499725290","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50409647997031,"sku":"18074605082509563584","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50409648029799,"sku":"30918135587303570148","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50409648062567,"sku":"22597518489944336485","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50409648095335,"sku":"32191697834418326869","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_2f044d65-deb1-4fbf-81e3-a0e57fcb359b.jpg?v=1791592381"},{"product_id":"strange-attractor-lorenz-pixel-hoodie","title":"Strange Attractor Hoodie – NEVER THE SAME LOOP TWICE | Pixelated Physics","description":"\u003cp\u003eThree 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.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50409650880615,"sku":"42115590115836955018","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50409650913383,"sku":"30238846263827214936","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50409650946151,"sku":"14662071835800864644","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50409650978919,"sku":"18665303295625352531","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50409651011687,"sku":"21726700827508223773","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50409651044455,"sku":"10575580895299610420","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50409651077223,"sku":"28188026661855281104","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50409651109991,"sku":"14891629550419205468","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_617adeff-16c6-4003-9e2d-23a17859a039.jpg?v=1791592393"},{"product_id":"double-slit-pixel-hoodie","title":"Double Slit Hoodie – DARK WHERE THE PATHS DISAGREE | Pixelated Physics","description":"\u003cp\u003eLight through two narrow slits does not make two bright lines. It makes stripes. Two-slit interference: cos² fringes under a single-slit sinc² envelope. With slits 4 widths apart, every 4th bright order vanishes. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411508138087,"sku":"21388470027659341706","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411508170855,"sku":"14491004885220521021","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411508203623,"sku":"28730900535712921220","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411508236391,"sku":"13264523448629954958","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411508269159,"sku":"28127667965516515962","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411508301927,"sku":"23563890938911592270","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411508334695,"sku":"22564757872419876816","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411508367463,"sku":"10554070160037470498","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_5d60c9bd-5516-4544-ac89-db3d4cc3f744.jpg?v=1791592405"},{"product_id":"airy-disk-pixel-hoodie","title":"Airy Disk Hoodie – EVEN A PERFECT LENS BLURS | Pixelated Physics","description":"\u003cp\u003eEven a flawless lens cannot focus light to a point. The Airy pattern of a circular aperture, I = I₀(2J₁(x)\/x)², on a log scale. The first dark ring sits at sin θ = 1.22 λ\/D. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411510235239,"sku":"16967387673541834192","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411510268007,"sku":"75293203423435739730","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411510300775,"sku":"11716564060720323836","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411510333543,"sku":"21921967783363702162","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411510366311,"sku":"10929957686254446091","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411510399079,"sku":"21276448189794932129","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411510431847,"sku":"30868028358052725164","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411510464615,"sku":"13666370285024941795","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_6da192fc-a1c2-4ec1-bda6-627074ae516d.jpg?v=1791592417"},{"product_id":"feynman-pixel-hoodie","title":"Feynman Diagram Hoodie – TWO IN, ONE PHOTON, TWO OUT | Pixelated Physics","description":"\u003cp\u003eAn electron and a positron meet and annihilate. What comes out is a muon and an antimuon. The tree-level Feynman diagram for e⁺e⁻ → γ* → μ⁺μ⁻, wrapped in its exact 1 + cos²θ angular distribution. Two in, two out. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411511316583,"sku":"26705419614110335575","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411511349351,"sku":"18395958851708377976","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411511382119,"sku":"46511458849718753678","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411511414887,"sku":"29950793275089369369","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411511447655,"sku":"51993352543974446634","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411511480423,"sku":"96976577651208924980","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411511513191,"sku":"23827804896303217790","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411511545959,"sku":"12717155899045046366","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_2426dca9-a1f2-4326-8aab-342eef482eb3.jpg?v=1791592429"},{"product_id":"penrose-pixel-hoodie","title":"Penrose Diagram Hoodie – ALL OF FOREVER, ON ONE PAGE | Pixelated Physics","description":"\u003cp\u003eA Penrose diagram squeezes all of an infinite spacetime onto one page, while keeping light rays at 45°. The maximally extended Schwarzschild black hole, compactified: two exteriors, a horizon cross and a singularity on top. Infinity fits. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411513217127,"sku":"12149046691737220505","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411513249895,"sku":"25013389461336442026","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411513282663,"sku":"14508681133803972018","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411513315431,"sku":"32357250510510721476","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411513348199,"sku":"17432315656254012902","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411513380967,"sku":"21828729718306714963","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411513413735,"sku":"16605943574514873879","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411513446503,"sku":"19362294077348666877","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_af1c89a8-53e3-48e9-8423-95c5d0fa431f.jpg?v=1791592442"},{"product_id":"einstein-ring-pixel-hoodie","title":"Einstein Ring Hoodie – ONE GALAXY, SEEN AS A RING | Pixelated Physics","description":"\u003cp\u003eMass bends light. Line a distant galaxy up behind a nearer one and the light arrives from several directions at once. A background galaxy lensed by a point mass into arcs and a ring, from the exact lens equation β = θ − θE²\/θ. Mass is the lens. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411514986599,"sku":"11139528919330083994","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411515019367,"sku":"28404073299191263651","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411515052135,"sku":"24507585744931307338","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411515084903,"sku":"16665015256930141528","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411515117671,"sku":"35448450371404905096","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411515150439,"sku":"17426048461816662212","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411515183207,"sku":"30538547374245750260","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411515215975,"sku":"16367101825909417872","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_c159ab5c-9028-4d04-86da-969ca04922a7.jpg?v=1791592454"},{"product_id":"bifurcation-pixel-hoodie","title":"Bifurcation Hoodie – SPLIT, SPLIT, SPLIT, CHAOS | Pixelated Physics","description":"\u003cp\u003eOne line of arithmetic: multiply by r, multiply by one minus itself, repeat. The logistic map x → r x(1 − x) from r = 2.8 to 4: period doubling at a rate set by δ = 4.669…, then chaos with windows of order. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411517280359,"sku":"15167398416463532811","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411517313127,"sku":"29761908190139218968","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411517345895,"sku":"18284497453698142385","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411517378663,"sku":"29093574314274035112","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411517411431,"sku":"32913583028756609085","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411517444199,"sku":"70675613060703275381","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411517476967,"sku":"33515576353059982098","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411517509735,"sku":"43454426389694905112","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_e0218d7c-fe68-4ba3-8c2e-d470d5691d89.jpg?v=1791592466"},{"product_id":"double-pendulum-pixel-hoodie","title":"Double Pendulum Hoodie – TWO HINGES ARE ENOUGH | Pixelated Physics","description":"\u003cp\u003eTwo rigid rods, two hinges, gravity. Nothing else. The path, computed step by step, of a double pendulum released at rest from 150°, 150°: two hinges, no friction, no repeat. Chaos from Newton alone. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411519279207,"sku":"18479856117514221005","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411519311975,"sku":"19560942051474710673","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411519344743,"sku":"74357723802466048108","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411519377511,"sku":"20663262173442323746","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411519410279,"sku":"29342035392314015557","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411519443047,"sku":"29925946795062757452","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411519475815,"sku":"21084280961644611164","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411519508583,"sku":"30542419991997136369","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_0f2a6e23-90dc-4e03-b10a-db6c47bbc54c.jpg?v=1791592478"},{"product_id":"drum-mode-pixel-hoodie","title":"Drum Mode Hoodie – SOME DRUMS SOUND IDENTICAL | Pixelated Physics","description":"\u003cp\u003eA drumhead fixed at its rim can only vibrate in certain shapes. Each one is a Bessel function in radius times a cosine in angle. Mode (3,2) of a circular drumhead, u = J₃(kr) cos 3θ: twelve lobes, three nodal diameters and one nodal ring, exactly. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411520983143,"sku":"84078276109260030126","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411521015911,"sku":"31683033504962921348","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411521048679,"sku":"16406175318407556474","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411521081447,"sku":"21327365717641658379","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411521114215,"sku":"10729973754720073182","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411521146983,"sku":"20306805823566502485","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411521179751,"sku":"67767680057099177515","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411521212519,"sku":"19184708935154969250","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_24819d2d-bd35-46c3-be29-c5cfaddf8798.jpg?v=1791592490"},{"product_id":"magnetic-dipole-pixel-hoodie","title":"Magnetic Dipole Hoodie – EVERY LINE COMES HOME | Pixelated Physics","description":"\u003cp\u003eElectric field lines start and stop on charges. Magnetic field lines have nowhere to start. The exact field lines of a magnetic dipole, r = C sin²θ, around a pixel bar magnet. ∇·B = 0, so every line closes on itself. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411522883687,"sku":"11523922915992955334","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411522916455,"sku":"26149081741996583739","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411522949223,"sku":"28775910052136903625","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411522981991,"sku":"33122831881731631797","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411523014759,"sku":"27531580158176148240","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411523047527,"sku":"30099682099546080080","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411523080295,"sku":"29057096415260217228","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411523113063,"sku":"69726259697060826477","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_62d64445-d38e-481c-93ab-5954d087364e.jpg?v=1791592502"},{"product_id":"tokamak-pixel-hoodie","title":"Tokamak Hoodie – NESTED, NEVER TOUCHING | Pixelated Physics","description":"\u003cp\u003eA tokamak holds a plasma hotter than the core of the Sun inside a ring-shaped vacuum vessel, without letting it touch the walls. Nested magnetic flux surfaces of a Solov’ev equilibrium, an exact solution of the Grad–Shafranov equation for a tokamak plasma. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411524620391,"sku":"75926126736414651515","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411524653159,"sku":"20504953971495917697","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411524685927,"sku":"20830770153133418039","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411524718695,"sku":"26218001451555840168","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411524751463,"sku":"32357527231890463717","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411524784231,"sku":"55153194949942852038","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411524816999,"sku":"30671611565202497725","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411524849767,"sku":"22534568170717704123","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_f6eed1f1-388d-45fd-887b-113e28fd9852.jpg?v=1791592514"},{"product_id":"rotation-curve-pixel-hoodie","title":"Rotation Curve Hoodie – THE EDGES SPIN TOO FAST | Pixelated Physics","description":"\u003cp\u003eStars orbit the centre of a galaxy, and their speed tells you how much mass lies inside their orbit. A spiral galaxy with its rotation curve: measured speeds stay flat while stars alone predict a fall. The gap points to dark matter. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411525636199,"sku":"20327675196315969681","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411525668967,"sku":"31510348007396485365","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411525701735,"sku":"84802344519253820103","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411525734503,"sku":"23588418318938164768","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411525767271,"sku":"11765794258588015336","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411525800039,"sku":"25254111554051514664","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411525832807,"sku":"38835847909683552115","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411525865575,"sku":"86633337715249375887","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_47c07383-5282-4b7d-9b50-3ef3a2e95f7a.jpg?v=1791592527"},{"product_id":"blackbody-pixel-hoodie","title":"Blackbody Hoodie – THE CURVES NEVER CROSS | Pixelated Physics","description":"\u003cp\u003eEverything above absolute zero glows. A perfect absorber, a blackbody, glows with a spectrum fixed by its temperature alone. Planck curves for 3000 K to 7000 K, stacked hottest behind. Hotter is brighter at every wavelength, so the curves never cross. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411527110759,"sku":"86478012031729740352","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411527143527,"sku":"16043116953910351956","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411527176295,"sku":"11708348885138507736","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411527209063,"sku":"17978707171898278971","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411527241831,"sku":"13033563953305891075","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411527274599,"sku":"21628549398527662721","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411527307367,"sku":"29837348557721090692","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411527340135,"sku":"17567994596636457760","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_f24c2693-1e79-42a4-b227-d1373e8a5700.jpg?v=1791592539"},{"product_id":"bragg-pixel-hoodie","title":"Diffraction Hoodie – SPOTS WHERE THE ROWS AGREE | Pixelated Physics","description":"\u003cp\u003eShine waves at a crystal and they scatter from every atom. In almost every direction the scattered waves cancel. The far-field diffraction pattern of a hexagonal crystal: spots on the reciprocal lattice, first Brillouin zone outlined. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411528814695,"sku":"22445725149132269946","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411528847463,"sku":"22395566323581774138","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411528880231,"sku":"27761829921509289243","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411528912999,"sku":"30336323938184012879","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411528945767,"sku":"27719801834618568499","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411528978535,"sku":"17171096455269359723","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411529011303,"sku":"30429443908474909281","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411529044071,"sku":"82383685460919440356","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_66887877-758c-4658-8670-ae72d9fcf653.jpg?v=1791592551"},{"product_id":"ising-pixel-hoodie","title":"Ising Model Hoodie – EVERY SCALE AT ONCE | Pixelated Physics","description":"\u003cp\u003eA grid of tiny magnets, each pointing up or down, each preferring to agree with its neighbours. Heat tries to scramble them. A 2D Ising magnet simulated at its exact critical temperature, kTc = 2J\/ln(1+√2): up and down domains of every size at once. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411538350183,"sku":"10404516522050015764","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411538382951,"sku":"19258982278976912939","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411538415719,"sku":"29133883749397142957","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411538448487,"sku":"26657713349638535619","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411538481255,"sku":"18981805096766057370","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411538514023,"sku":"51451837390283293661","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411538546791,"sku":"11881220398558356372","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411538579559,"sku":"91126469609017879428","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_cfb978f6-d2c0-41b8-a7c8-8b24d67ffe87.jpg?v=1791592564"},{"product_id":"brownian-pixel-hoodie","title":"Brownian Motion Hoodie – NO STEP REMEMBERS THE LAST | Pixelated Physics","description":"\u003cp\u003eIn 1827 Robert Brown watched tiny particles from pollen grains jitter in water under his microscope, and could not make them stop. A 24,000-step Brownian path in a microscope field, coloured by time. Mean squared distance grows as 4Dt in 2D, so spread goes as √t. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411540250727,"sku":"25592689701242489504","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411540283495,"sku":"16467648673230463344","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411540316263,"sku":"20400043137757369235","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411540349031,"sku":"26922952898690386416","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411540381799,"sku":"51315307029712547152","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411540414567,"sku":"25489025843254570150","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411540447335,"sku":"61657108471406226992","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411540480103,"sku":"85454377164693076000","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_3d9051a8-f7e7-49a5-9571-e110da199e2e.jpg?v=1791592575"},{"product_id":"soliton-pixel-hoodie","title":"Soliton Hoodie – THEY PASS THROUGH UNHARMED | Pixelated Physics","description":"\u003cp\u003eIn 1834 John Scott Russell followed a single hump of water on horseback along a Scottish canal for more than a mile. It did not spread out. The exact two-soliton solution of the KdV equation in space and time: the tall fast wave overtakes the short one; both survive. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411542020199,"sku":"11112959813002789823","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411542052967,"sku":"93591325549405744090","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411542085735,"sku":"50730060828091775270","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411542118503,"sku":"30140162908127114805","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411542151271,"sku":"13556165209169980869","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411542184039,"sku":"25510496180331191608","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411542216807,"sku":"26339679364368682834","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411542249575,"sku":"19664911356005268122","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_5c3c34b5-929c-4d8f-802a-39e9e63f7d5a.jpg?v=1791592587"},{"product_id":"kepler-pixel-hoodie","title":"Kepler Orbit Hoodie – FAST WHEN CLOSE, EXACTLY | Pixelated Physics","description":"\u003cp\u003eA planet on an ellipse speeds up near the Sun and slows down far away. Johannes Kepler found the exact rule in 1609. An e = 0.6 orbit cut into 12 wedges swept in equal times, from Kepler’s equation M = E − e sin E. Equal areas, so fast when close. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411543953511,"sku":"30834272855721408901","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411543986279,"sku":"48412081819334353068","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411544019047,"sku":"42841055967958278361","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411544051815,"sku":"16255784277892541657","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411544084583,"sku":"24355207945702824163","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411544117351,"sku":"18816682100976416491","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411544150119,"sku":"12475309443141951077","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411544182887,"sku":"26172104120624905021","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_2b98260e-d4c9-484d-86be-42f8170559ee.jpg?v=1791592600"},{"product_id":"harmonic-oscillator-pixel-hoodie","title":"Quantum Oscillator Hoodie – NEVER QUITE STILL | Pixelated Physics","description":"\u003cp\u003ePut a quantum particle in a parabolic well, a mass on an ideal spring, and it can only have certain energies. The first six states of the quantum harmonic oscillator, |ψₙ|² drawn on their levels E = (n + ½)ħω. The lowest is not zero. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411545886823,"sku":"27168009413471316178","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411545919591,"sku":"24615252401636210193","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411545952359,"sku":"31988746654700084181","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411545985127,"sku":"15259860134077955554","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411546017895,"sku":"20335604231998458712","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411546050663,"sku":"52743341673394743987","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411546083431,"sku":"52835830386342474854","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411546116199,"sku":"33419672123278230392","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_c0136e49-1b46-4213-8940-11e8fadac6bc.jpg?v=1791592612"},{"product_id":"wavepacket-pixel-hoodie","title":"Wave Packet Hoodie – PRECISE NOW, VAGUE LATER | Pixelated Physics","description":"\u003cp\u003ePin down where a free particle is, and its wavefunction starts to spread. A free Gaussian wave packet at seven moments: it travels, its envelope widens as σ(t)² = σ₀² + (ħt\/2mσ₀)², and its peak drops. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411547721831,"sku":"33868429984307161392","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411547754599,"sku":"17652181007875926728","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411547787367,"sku":"17846777201261986781","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411547820135,"sku":"32044946765742721322","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411547852903,"sku":"28493542256159178046","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411547885671,"sku":"76682762549052107397","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411547918439,"sku":"29669368123818099771","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411547951207,"sku":"27571181639349767586","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_1f810c25-c9e3-4d70-99cc-11833ff43b6a.jpg?v=1791592624"},{"product_id":"light-cone-pixel-hoodie","title":"Light Cone Hoodie – ELSEWHERE IS A REAL PLACE | Pixelated Physics","description":"\u003cp\u003ePick one event: here, now. The light it sends out spreads into a cone in spacetime, the future cone. The light that could have reached it forms the past cone. A Minkowski light cone: future and past, three worldlines through one event, one of them accelerating. Outside the cone is elsewhere. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411549622375,"sku":"14513988979217987297","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411549655143,"sku":"19986259134024616138","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411549687911,"sku":"10150986197518316383","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411549720679,"sku":"17144451253141766332","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411549753447,"sku":"21485180369676422635","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411549786215,"sku":"15973544569327766629","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411549818983,"sku":"26357757307963912016","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411549851751,"sku":"33578542686936142646","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_b3cd1edd-6ee1-4cc7-ae46-59fb1d06b1c9.jpg?v=1791592636"},{"product_id":"lagrange-pixel-hoodie","title":"Lagrange Points Hoodie – FIVE PLACES TO PARK | Pixelated Physics","description":"\u003cp\u003eTwo bodies orbit each other. In the frame that turns with them, there are five places where a third, small body can sit still. Contours of the rotating-frame potential of two masses with μ = 0.03, through all five Lagrange points. L4 and L5 are stable here. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411551129703,"sku":"24905304606686559955","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411551162471,"sku":"18543104394906052952","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411551195239,"sku":"31939178195144130180","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411551228007,"sku":"34504192150780832903","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411551260775,"sku":"16884052315511811874","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411551293543,"sku":"33258655305515397874","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411551326311,"sku":"25297052624330923588","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411551359079,"sku":"17386120676224844088","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_2fa07754-1ccb-4301-b04f-e85bfda2a17a.jpg?v=1791592649"},{"product_id":"poincare-section-pixel-hoodie","title":"Poincaré Section Hoodie – ISLANDS IN A CHAOTIC SEA | Pixelated Physics","description":"\u003cp\u003eHenri Poincaré’s trick for seeing motion in four dimensions: don’t watch the whole orbit. Mark a dot each time it passes through one plane. A Poincaré section of the Hénon–Heiles system at E = 1\/8: bright islands of regular orbits inside a scattered sea of chaotic ones. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50411551424615,"sku":"59860140119303193965","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50411551457383,"sku":"13209460412414899147","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50411551490151,"sku":"33914644909140584665","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50411551522919,"sku":"65077845832044737378","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50411551555687,"sku":"33573121587295812920","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50411551588455,"sku":"72106858993295908401","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50411551621223,"sku":"21723595406429425967","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50411551653991,"sku":"72337611672832066915","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_model_front_close_b91e6a45-59b5-4848-a4ea-fa6be873e19d.jpg?v=1791592661"}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/collections\/01_flat_front.jpg?v=1791584305","url":"https:\/\/pixelatedphysics.com\/collections\/hoodies.oembed?page=2","provider":"Pixelated Physics","version":"1.0","type":"link"}