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A donut (torus) has the exact same volume and surface area as a cylinder with radius r and height 2πR! Watch every swivel preserve both perfectly... Geometry just got delicious!

205,147 просмотров • 3 месяцев назад •via X (Twitter)

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made my first fired alumina print! lightcell energy 🔆 maybe i’ll call it a “lattice flame tokamak” 😉 this is where the flame occurs, held in place like a smoke ring. it’s supposed to be where the hot air and fuel mix, with channels pointing inward along a torus. the flame rolls around mixing fuel air and salt, like a rolling vortex, like a smoke ring. i constructed the geometry like this, it’s a triply-periodic minimal surface (TPMS). this divides a cylinder into two interlaced volumes with minimal material and the maximal surface area. it’s a “Schwartz-Diamond” type minimal surface with a bias, in cylindrical coordinates. the TPMS divides a space into two interlaced volumes. if you delete the material dividing these volumes then this is where the fuel and flames with mix and the reaction will take place. in addition, on average the channels will be pointed in along the torus throughout, canceling momentum and holding on to a recirculation vortex, there a flame will remain lit and where sodium can mix in via salt conducted in via wall surface tension, like a wick, and evaporation. the TPMS curves in all dimensions, so it is quite resistant to thermal stresses, can relieve stain along any of its curves. and it has thin walls so it can easily diffuse gases during debinding and sintering. had a small collapse in the center (probably a singularity in the model, cylindrical coordinates) but fired it anyway and it sintered beautifully! i used the latest version of Hyperganic hydesign for the geometry and a Formlabs Form 4 in Alumina 4N to do the printing. 💁🏻‍♀️☸️

Danielle Fong 🔆

28,549 просмотров • 1 год назад