HamiLoop vs ECHO

HamiLoop: Draw one loop. Pass through every square on the grid exactly once. That's the whole idea behind HamiLoop, and it's harder than it sounds. What looks like a simple rule turns into a real puzzle once the grid grows, and figuring out the right path can take real thought. Grid sizes vary a lot, so difficulty varies with them. Some puzzles are solved in a couple of moments, others take much longer and require some careful planning. With 150,000 preloaded levels, you can pick a size and difficulty that suits your mood, and a new difficult puzzle is added every day if you're after something tougher. There are no timers and no countdowns anywhere in the app, so every puzzle can be worked through at your own pace. Each puzzle is presented with clean, colorful visuals, though the colors are purely decorative and don't affect the solving itself. If you like tackling more than one thing at a time, you can keep several levels open in parallel, so an easier puzzle is always there when you want a break from a harder one. Alongside the daily challenge, an extra hard puzzle is released once a week for players looking for something tougher still. The core idea of the game is inspired by Hamiltonian cycles, a well known concept from graph theory, giving the puzzle a solid mathematical foundation beneath its simple rule.

Every digit you place echoes across the board. ECHO GRID is a fresh kind of logic puzzle about reading the ripples. Place digits 1-3 on a 5x5 board. Each digit sends an echo up, down, left and right, traveling as far as its own value and adding that value to every cell it passes through. Match the target sum of every row and column to clear the stage! SIMPLE TO LEARN, DEEP TO MASTER - One rule: place digits. You'll get it in a minute - A single digit affects several rows and columns at once - plan ahead - Every puzzle has exactly one solution. Pure logic, no guessing SPECIAL CELLS CHANGE EVERYTHING - Walls block echoes - Mirrors bend them 90 degrees - Amplifiers add +1 to passing echoes The same 5x5 board feels completely different with each combination. PLENTY TO PLAY - 100 stages, stepping up from basics to walls, mirrors, amplifiers and beyond - No locks - jump straight to any stage you like - A Daily Challenge shared by players worldwide, with streaks and lifetime stats THINK AT YOUR OWN PACE - Long-press any cell to see exactly which echoes reach it and from where - Stuck? A hint corrects just one cell - Calm neon visuals and soft, soothing sound PERFECT FOR - Fans of sudoku-style and logic puzzles - Short brain workouts on your commute - Quiet, focused play before bed - works offline Available in English and Japanese. Listen to the echoes. One digit changes the whole board.