Vector Field vs golnar

Vector Field lets you create and visualize mathematical vector fields with thousands of animated particles. Enter your own equations, adjust the simulation instantly, and watch how particles move through 2D, 3D, or spherical spaces. Whether you are studying differential equations, experimenting with dynamical systems, teaching vector calculus, or simply exploring mathematical patterns, Vector Field turns equations into interactive motion. Features: • Visualize vector fields in 2D, 3D, and on a sphere • Define custom dx, dy, and dz equations using x, y, z, and time t • Use built-in function presets or save your own • Adjust particle speed, density, lifetime, colors, and ranges • Animate time-dependent fields • Normalize vectors to focus on direction • Rotate 3D views interactively • Powered by Metal for smooth real-time rendering • Create, tweak, and discover vector fields directly from your device.

golnar transforms the way you see a handmade Persian rug. Ever held a rug and wondered where it came from, who made it, or what its patterns mean? golnar gives you the knowledge to find out. ◆ IDENTIFY ORIGINS Learn to recognize rugs by region, from tribal nomadic weavings to the great weaving cities of Iran. ◆ DECODE MOTIFS Discover the meaning behind symbols, flowers, animals, and geometric patterns woven into every rug. ◆ UNDERSTAND MATERIALS Explore wool, silk, and cotton and what they reveal about a rug's quality and origin. ◆ MASTER TECHNIQUES Learn knot types, weaving structures, and the craftsmanship that separates an extraordinary rug from an ordinary one. ◆ TEST YOURSELF Take the built-in quiz and discover how much you really know about Persian rugs. Whether you just inherited a family heirloom, bought your first antique rug, or have admired Persian rugs for years, golnar is the mentor in your pocket you never had. Beautiful, visual, and crafted with the same care as the rugs it celebrates.