mathswithmuza on Instagram: "The Costa surface is a remarkable example of a minimal surface—a surface that locally minimizes area, meaning its mean curvature is zero everywhere. Discovered by the Brazilian mathematician Celso Costa in 1982, this surface beautifully bridges the geometry of classical minimal surfaces like the catenoid and helicoid. It has the topology of a torus with three punctures, which can be thought of as a donut shape with three holes extending to infinity. What makes it esp

@xqcore on Instagram: "How the surface area of a sphere is calculated 🤯 #xqc #math #engineering #calculus #maths"

Reflectra on Instagram: "Calculating the surface area of a sphere using slicing is a fascinating approach that combines geometry and calculus. By imagining the sphere sliced into infinitely thin circular cross-sections (like stacking coins), you can sum the areas of these slices to find the total surface area. Mathematically, if you take a slice at height y, its radius is \sqrt{r^2 - y^2}, giving a circle area of \pi (r^2 - y^2). Integrating these slices around the sphere using calculus techniqu