gleToroid(3GLE)

💖 gleToroid 💖

okay bestie, welcome to gleToroid from the GLE manual — the generalized torus, aka a lathe with a circle contour. she's a 3GLE girlie and she's serving geometry. periodt. 🍩✨

🌸 NAME 🌸

gleToroid — Generalized torus, lathe with circle contour. no cap, that's literally the whole pitch. 🎀

✨ SYNTAX ✨

void gleToroid (gleDouble rToroid,
                gleDouble up[3],
                gleDouble startRadius,
                gleDouble drdTheta,
                gleDouble startZ,
                gleDouble dzdTheta,
                gleDouble startXform[2][3],
                gleDouble dXformdTheta[2][3],
                gleDouble startTheta,
                gleDouble sweepTheta);

that's a whole lot of gleDoubles and honestly? iconic. copy it exactly, don't get cute with it. 💅

🦋 ARGUMENTS 🦋

• rToroid — the circle contour (torus) radius. the roundness. the donut energy. 🍩
• startRadius — where the spiral starts in the x-y plane.
• drdTheta — the change in radius per revolution. so like, how much the radius grows every time you go all the way around. 📈
• startZ — the starting z value. your beginning height, bestie.
• dzdTheta — the change in Z per revolution. how much taller (or shorter) she gets each lap.
• startXform — starting contour affine transformation.
• dXformdTheta — tangent change xform per revolution.
• startTheta — start angle in the x-y plane. where you begin your little journey. 🌈
• sweepTheta — degrees to spiral around. how far you're taking this thing. go off. 👑

also <cyan>up[3]</cyan> is sitting right there in the synopsis being mysterious and we respect her privacy. 🫶

🌟 DESCRIPTION 🌟

Generalized Torus. Similar to gleLathe, except the contour is a circle. Uses gleLathe to draw.

that's it, that's the description — short and slay. she's a lathe underneath, just doing it with a circular contour instead. the way that works is lowkey elegant ngl. 💖

🔥 SEE ALSO 🔥

• gleSpiral
• gleHelicoid

go read those too, bestie, they're in the same friend group. 💜

👑 AUTHOR 👑

Linas Vepstas (linas@linas.org)

and that's a wrap, my love!! 🎀 this page is from GLE, version 3.0 — gleToroid(3GLE) — so if you ever need to cite her, that's the vibe check right there. now go draw a torus and eat, you deserve it. 💅✨🦋