Knight's Tour on Heptominoes and Octominoes: https://youtu.be/cSdtWjl_1As

#youtube #youtuber #youtubechannel #heptomino #octomino #polyomino #polyominoes #knight #knightstour #chess #animation #animated #2d #2danimation #animation2d #colorful #puzzle #logic #logical #nerd #geek #cool #amazing #math #maths #mathematics

Every Tetromino using same tetromino - https://youtu.be/ykepcJcPLy0

#youtube #youtuber #youtubechannel #youtubevideo #tetris #tetromino #polyomino #polyominoes #polyform #nerd #nerdy #geek #geometry #geometricpuzzle #math #mathematics #mathnerd #maths #cool #amazing #puzzle #puzzled #puzzles #interesting #shapes #shape #geometricshapes #2d #2dshapes

My family was playing "Buildzi" tonight (a tetromino stacking game) and I was reminded of this short, excellent talk at G4G on searching for the hardest version of a particular heptomino-based puzzle, by Carl Hoff: https://youtu.be/MdlHDw9ojno

The puzzle is called "Hazmat Cargo" and asks you to place 9 heptominoes in a 12x12 grid such that no heptominoes touch, not even at the corners. He found 18 subsets of the non-compact, non-symmetric heptominoes that admit only a single solution, and one of them was a clear outlier in terms of difficulty of solution.

#polyominoes #puzzles

All sets of integer lattice points symmetric along the X and Y axes, and connected allowing diagonals, of size 14 and 15.

Code here: https://gist.github.com/mgritter/8cfc41a7325f85b75c029f77915a2f44

Inspired by this Quora question, https://www.quora.com/On-an-XY-array-of-lattice-points-how-many-patterns-of-N-connected-points-are-mirror-symmetric-in-both-X-and-Y-Adjacency-connections-are-1-in-X-1-in-Y-or-1-1-in-X-Y-I-do-not-know-the-answer, although I misinterpreted what he was asking for. That was closer to all polyominoes, allowing diagonal connections, which are horizontally and vertically symmetric. But I don't allow the line of symmetry to run down a half-integer value.

#enumeration #integer_lattice #polyominoes

Polyomino Play

"Can Ten make two times the shapes that Five can make?" Luke and I explore #pentominoes and #decominoes together.

#polyominoes #handsOnMath #mathPlay

https://bancosparenting.wordpress.com/2023/01/29/polyomino-play/