Fourier Series Phone Cases - iPhone and Android

Description: Rendered on a deep dark background, this artwork presents four sine harmonics stacked above a square wave rebuilt from their sum, with the series f(x) = 4/π Σ sin(nx)/n for n = 1, 3, 5, 7. In 1822 Joseph Fourier showed that any periodic signal can be written as a sum of sines and cosines. Fourier analysis now underpins audio, image compression, telecommunications and much of modern engineering. Made for engineers, inventors and anyone who loves to understand how things work, it suits a workshop, office or study.

Description: In 1822, Joseph Fourier showed that some functions could be written as an infinite sum of harmonics. This method called fourier series allowed us to construct very complex signal by only using the summation of sine and cosine signal. Furthermore by taking some statistic method, the scientist figure out that this complex signal can be transformed into frequency domain, so the analyzing or utilization of signal was becoming more advance. Nowadays application of fourier transform can be found everywhere. Your smartphone, your face recognition, radio, stock exchange, heart monitor, etc. And finally it is time to found its application in your daily outfit. Grab it fast.

Description: Illustration of the Fourier series

Description: Illustration of the Fourier series

Description: The legendary Bigfoot, mathematically defined! Plotted by a custom-built app using the complex Fourier Series equation, this design features a vibrant neon pink-to-blue gradient glow. A clean, modern look for math teachers, computer programmers, and cryptid lovers alike.

Description: Summon Sasquatch with the power of equations! Plotted by a custom-built app using the Fourier Series formula, this design features a mystical light-blue-to-purple gradient glow. A great choice for math majors, physics teachers, and cryptid enthusiasts who like a bit of science with their mystery.

Description: No mystery here. This Bigfoot is 100% math! Generated by a custom-built app using the Fourier Series equation to plot the entire design, this graphic features a bold red-to-cyan gradient glow. A fun, geeky choice for math teachers, science nerds, and programmers.

Description: This unique design was generated by a custom-built app that uses Fourier Transform mathematics to trace the outline of Bigfoot. Perfect for software developers, math lovers, engineers, and cryptid enthusiasts who appreciate a blend of science and mystery.

Description: Just like the slogan says: I drew Bigfoot with math! Plotted by a custom-built app using the Fourier Series equation, this design features a smooth cyan-to-green gradient glow. A perfect conversation starter for math teachers, computer programmers, STEM students, and data science nerds.

Description: Featuring a retro 3D chromatic aberration effect, this design was generated by a custom-built app using Fourier Transform mathematics to trace the outline of Sasquatch. Perfect for programmers, math lovers, and cryptid fans who enjoy a glitch-art aesthetic with their science.

Description: The proof is in the plotting. Bigfoot is mathematically confirmed! Traced by a custom-built app using the complex Fourier Series equation, this design features a warm, glowing gold-to-orange gradient. A fun, nerdy graphic for mathematicians, statistics enthusiasts, math teachers, and cryptid hunters.

Description: Forget the myths. I believe in mathematics! Plotted by a custom-built app using the Fourier Series equation to draw Sasquatch, this design features a warm, glowing orange-to-red gradient. A smart, nerdy play on classic sci-fi tropes that is perfect for math teachers, STEM students, and physics geeks.

Description: Literally drawn with Fourier Transforms! This design was plotted by a custom-built app using the complex Fourier Series equation shown below to trace Bigfoot's outline. Features a vibrant blue-to-pink neon gradient. Ideal for engineering majors, physics teachers, and signal processing nerds.

Description: Who says he doesn't exist? Bigfoot is proven by Fourier Transform! Plotted by a custom-built app using the Fourier Series equation, this design features a vibrant green-to-purple multi-color gradient glow. A great conversation starter for engineering majors, physics teachers, and signal processing specialists.

Description: The Fast Fourier Transform meets the ultimate forest legend in FFT Sasquatch! Plotted by a custom-built app using the Fourier Series equation, this design features a striking gold-to-green gradient glow. Perfect for signal processing engineers, computer scientists, electrical engineers, and programmers.

Description: A striking portrait of Albert Einstein, rendered entirely through Fourier Transform mathematical epicycles (rotating circles) by a custom-designed app. This minimalist line art beautifully fuses physics, mathematics, and computer science into a clean, modern graphic. An ideal t-shirt for physicists, math teachers, engineers, programmers, and science lovers.

Description: A striking portrait of Pablo Picasso, rendered entirely through Fourier Transform mathematical epicycles (rotating circles) by a custom-designed app. This minimalist line art elegantly connects the pioneer of Cubism and modern art with contemporary computer science and mathematics. An ideal t-shirt for modern art lovers, artists, mathematicians, and programmers.

Description: A beautifully expressive portrait of Vincent van Gogh, rendered entirely through Fourier Transform mathematical epicycles (rotating circles) by a custom-designed app. This minimalist line art elegantly bridges the emotional genius of Post-Impressionism with modern mathematics and computer science. An ideal t-shirt for art history majors, artists, Starry Night fans, and programmers.

Description: A unique portrait of Leonardo da Vinci, drawn entirely using Fourier Transform mathematical epicycles (rotating circles) by a custom-coded program. This minimalist line art merges mathematics, computer science, and classical Renaissance history into a clean, modern aesthetic. Perfect for mathematicians, engineers, programmers, artists, and history enthusiasts.

Description: Featuring a vibrant blue-to-purple neon glow, this design was plotted by a custom-built app using Fourier Transform equations to trace Bigfoot. An ideal graphic for math teachers, students, and science lovers who can honestly say 'Math Made Me Do It!'

Description: Wear a cryptid drawn entirely by math! This unique Bigfoot design was 100% traced and plotted using mathematical equations—specifically Fourier Transform formulas that calculate the precise lines to generate the line art of Sasquatch. The glowing green rings and coordinate nodes visualize the epicycles used by the algorithm to plot this legendary creature. It is the perfect blend of physics, calculus, computer science, and cryptid folklore. An ideal shirt for math teachers, physics students, software engineers, and science geeks who love unique, geeky apparel.

Description: A glowing neon red Bigfoot design that is 100% drawn and traced using mathematical equations, specifically Fourier Transform math formulas that plot the lines to create the artwork. The vibrant red nodes and epicycles visualize the complex mathematics used to draw Sasquatch. Perfect for math teachers, physics students, programmers, and anyone who loves geeky, science-themed apparel with a striking red hot laser aesthetic.

Description: A unique blue and purple gradient Bigfoot design that is 100% drawn and traced using mathematical equations, specifically Fourier Transform math formulas that plot the lines to create the artwork. The glowing neon nodes and epicycles visualize the complex mathematics used to draw Sasquatch. Perfect for math teachers, physics students, software engineers, and anyone who loves geeky, science-themed apparel with a retro cyberpunk or synthwave aesthetic.

Description: A glowing cyan blue Bigfoot design that is 100% drawn and traced using mathematical equations, specifically Fourier Transform math formulas that plot the lines to create the artwork. The neon teal nodes and epicycles visualize the complex mathematics used to draw Sasquatch. Perfect for math teachers, physics students, programmers, and anyone who loves geeky, science-themed apparel with a striking electric blue aesthetic.

Description: A glowing dark purple and violet Bigfoot design that is 100% drawn and traced using mathematical equations, specifically Fourier Transform math formulas that plot the lines to create the artwork. The neon purple nodes and epicycles visualize the complex mathematics used to draw Sasquatch. Perfect for math teachers, physics students, programmers, and anyone who loves geeky, science-themed apparel with a striking ultraviolet aesthetic.

Description: A beautiful green, blue, and purple gradient neon Bigfoot design that is 100% drawn and traced using mathematical equations, specifically Fourier Transform math formulas that plot the lines to create the artwork. The colorful glowing nodes and epicycles visualize the complex mathematics used to draw Sasquatch. Perfect for math teachers, physics students, programmers, and anyone who loves geeky, science-themed apparel with a northern lights or aurora gradient aesthetic.

Description: A retro 3D anaglyph and chromatic aberration glitch Bigfoot design that is 100% drawn and traced using mathematical equations, specifically Fourier Transform math formulas that plot the lines to create the artwork. The cyan and magenta shifting outlines visualize the complex mathematics used to draw Sasquatch. Perfect for math teachers, physics students, programmers, and anyone who loves geeky, science-themed apparel with a cool retro 3D glasses glitch aesthetic.

Description: A glowing orange and amber Bigfoot design that is 100% drawn and traced using mathematical equations, specifically Fourier Transform math formulas that plot the lines to create the artwork. The neon orange nodes and epicycles visualize the complex mathematics used to draw Sasquatch. Perfect for math teachers, physics students, programmers, and anyone who loves geeky, science-themed apparel with a striking fire or electric amber aesthetic.

Description: A striking red and cyan split neon Bigfoot design that is 100% drawn and traced using mathematical equations, specifically Fourier Transform math formulas that plot the lines to create the artwork. The dual-color glowing nodes and epicycles visualize the complex mathematics used to draw Sasquatch. Perfect for math teachers, physics students, programmers, and anyone who loves geeky, science-themed apparel with a bold, high-contrast dynamic aesthetic.

Description: A vibrant blue, purple, and pink gradient neon Bigfoot design that is 100% drawn and traced using mathematical equations, specifically Fourier Transform math formulas that plot the lines to create the artwork. The colorful glowing nodes and epicycles visualize the complex mathematics used to draw Sasquatch. Perfect for math teachers, physics students, programmers, and anyone who loves geeky, science-themed apparel with a retro synthwave or galaxy gradient aesthetic.