Spirograph Maker vs TangledString

Create mesmerizing geometric art with a single tap. Released in 2017 with over 110,000 downloads — a math-meets-art tool refined over 9 years. Spirograph Maker turns the timeless mechanical drawing toy into a digital playground for your iPhone and iPad. Choose your gears, pick your colors, and watch hypnotic patterns bloom across the screen — no drawing skill required. WHERE MATH MEETS ART The patterns Spirograph creates aren't accidents — they're governed by GCD/LCM and parametric equations. Watch how the lobe count is determined by n/gcd(n,m), see hypotrochoids and epitrochoids come alive on your screen. A visual companion for middle-school number theory and high-school parametric curves. Whether you're a curious learner, a math enthusiast, or just love beautiful patterns, this is where math becomes mesmerizing. In 2022, this app was acknowledged in an academic paper on algebraic combinatorics — the smoothness criteria for Positroid varieties (Billey & Weaver, arXiv:2207.06508). From a child's toy to cutting-edge mathematical research — that's how deep these patterns go. FOUR GEAR SHAPES Not just circles. Draw with ellipse, rounded triangle (a curve of constant width), and teardrop gears too. Change the gear's shape and the symmetry of the pattern changes with it: circles stay regular, ellipses stretch, triangles beat in threes, teardrops curve organically. A strength slider tunes each shape continuously — from nearly circular to a flat ellipse, or a sharply pointed triangle or teardrop. KEY FEATURES - Auto-draw mode: tap once and beautiful patterns appear on their own - Custom color palette with gradient mode for endless combinations - Adjustable gear shapes and sizes: circle / ellipse / rounded triangle / teardrop, plus tooth count - Save your creations directly to your Photo Library - Share to Instagram, Facebook, or anywhere - Full iPad support — a bigger canvas for finer detail - Light and Dark mode WHY SPIROGRAPH MAKER - A meditative break from a busy day — without leaving your phone - A visual bridge between middle-school math and university geometry - Inspired by the classic Spirograph toy, reimagined for modern iOS - Perfect for parents, students, artists, and math enthusiasts - Works offline, anywhere PERFECT FOR - Winding down before bed - Sparking creativity with kids - A short math meditation anytime - Making one-of-a-kind wallpapers - Sharing unique art on Instagram - A short, calm focus break during your day In Japan, downloads notably spike around the start of new school terms and summer breaks — pointing to a growing use as a learning companion. Pull out your phone, tap once, and watch sacred geometry unfold. Whether you're a designer, a doodler, a student, or just love beautiful patterns, Spirograph Maker is the simplest way to make art that mesmerizes. Free to download. Optional ad-free upgrade available.

The left and right edges of the screen are tied with 10 strings. Apply the right end that is connected to the left end. The game is over when you can hit as many as 10.