SUUGAKU

SUUGAKU is an interactive app that lets you experience the beauty of mathematics firsthand. Featuring 12 mathematical themes, explore the fascinating properties of numbers through animations and graphs. The HOME screen organizes themes into 4 horizontal-tab categories (Primes & Divisors, Digit Magic, Iterative Wonders, Sequences & Shapes) for natural discovery. Whether you're a math beginner or a number theory enthusiast, everyone can enjoy the elegance of numbers. [THEMES] - Kaprekar Numbers Repeatedly sort and subtract digits of 3- or 4-digit numbers to watch them converge to Kaprekar constants (495 / 6174). Experience this mysterious phenomenon with step-by-step animation. - Collatz Sequence "If even, divide by 2; if odd, multiply by 3 and add 1" — one of math's great unsolved problems. Visualize the sequence trajectory with a line graph and observe how every number reaches 1. - Perfect & Amicable Numbers 6, 28, 496... Check and search for perfect numbers whose divisor sums equal themselves. Also discover amicable number pairs where each number's divisor sum equals the other. - Prime Numbers Primality testing, prime factorization, Sieve of Eratosthenes, twin primes, and Mersenne primes — dive deep into the world of primes. - Fibonacci Sequence 0, 1, 1, 2, 3, 5, 8, 13... The beautiful sequence found throughout nature. Calculate the Nth number, check if a number is Fibonacci, and view the sequence graph. - Harshad Numbers Numbers divisible by the sum of their digits. Discover this hidden property of everyday numbers through checking and listing. - Magic Squares Auto-generate mystical N×N arrangements where every row, column, and diagonal sums to the same value. Watch cells appear one by one in a satisfying animation. - Goldbach's Conjecture Verify the unsolved conjecture that "every even integer >= 4 is the sum of two primes." Decompose even numbers into prime pairs and view decomposition counts. - Smith Numbers Composite numbers whose digit sum equals the sum of digits of their prime factorization. For example, 22 = 2×11 -> digit sum 2+2=4, factor digit sum 2+1+1=4. Check and list these fascinating numbers. - Happy Numbers Repeatedly sum the squares of a number's digits — if it reaches 1, it's happy! For example, 19 -> 1²+9²=82 -> 8²+2²=68 -> ... -> 1. Follow the step-by-step journey to see if your number is happy or enters a loop. - Palindrome Numbers Numbers that read the same forwards and backwards (e.g. 121, 1331, 12321). The Reverse-and-Add mode iteratively reverses a number and adds it to the original, animating up to 30 steps to see if a palindrome is reached. Explore Lychrel candidates like 196 — numbers that may never converge. - Pythagorean Triples [NEW] Integer triples (a, b, c) satisfying a² + b² = c², such as (3, 4, 5) and (5, 12, 13). Check any triple and visualize the right triangle with a gradient fill. Find out whether it is a primitive triple (gcd(a, b, c) = 1). The primitives list mode uses Euclid's formula to enumerate all primitive triples up to your specified bound. [FEATURES] - HOME screen with 4 horizontal-tab categories for easy navigation - Dark mode / Light mode toggle - Japanese / English bilingual support - Smooth performance with background processing for heavy calculations - Intuitive UI — anyone can start using it immediately - Optimized for iPhone and iPad Experience the "motion" and "beauty" of numbers that textbooks can't convey.