gleHelicoid(3GLE)

✨ gleHelicoid ✨

okay bestie, welcome to gleHelicoid from the GLE manual (section 3GLE) 💖 it's a generalized torus — a spiral with a circle contour. literally a slinky but make it geometry 🌀

🌸 SYNTAX 🌸

void gleHelicoid (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);

no cap, that's a lot of args. let's go through them one by one 🫶

🎀 ARGUMENTS 🎀

• rToroid — the radius of the circle contour (the torus radius). it's giving "how big is the tube" 💅
• startRadius — the spiral starts out here in the x-y plane. your origin story, fr fr ✨
• drdTheta — how much the radius changes per revolution. so it can grow or shrink as it spins 🌸
• startZ — the starting z value. where you begin on the vertical axis 🦋
• dzdTheta — how much Z changes per revolution. the rise, the climb, the glow-up 📈
• startXform — the starting contour affine transformation. your starting fit, your base look 👑
• dXformdTheta — the tangent change of the xform per revolution. how that transformation shifts as you go around 🌀
• startTheta — the start angle in the x-y plane. where on the circle you begin, in degrees 📐
• sweepTheta — the degrees to spiral around. how far you twirl, bestie 🎠

heads up: up[3] shows up in the synopsis but doesn't get its own little blurb down here. it's still there, living its truth 💜

💫 DESCRIPTION 💫

so it's a Generalized Torus. basically gleSpiral's cousin, except the contour is a circle instead of whatever gleSpiral uses 🍩

and the way it works? it calls gleSpiral under the hood to actually draw. iconic delegation behavior, honestly 😌

🔥 SEE ALSO 🔥

• gleSpiral
• gleToroid

go read those too, iykyk 💕

👑 AUTHOR 👑

Linas Vepstas (linas@linas.org) — thank you for the geometry, king 🫶

and that's the whole vibe check, bestie 🌈 this was GLE 3.0, dated 3.0, and you absolutely ate reading the whole thing. slay, periodt 💅✨