Tiling
Puzzles
- count.1x2Count the ways to tile an MxN rectangle with 1x2 dominos. Added material
- dominoes.two.holesProve that if you remove any two squares of opposite colors from a chessboard, the board can be covered... New
- heptomino.boxesIs it possible to pack the 108 heptominoes, with unit thickness, into a 7x9x12 box? New
- locate.in.patternThe plane is tiled periodically, without rotation, by copies of a 5x5 square A and a 3x3 square B placed... New
- pentacube.contestCan the 29 pentacubes be assembled into the figures set as problems in the German pentacube contests... New
- pentomino.cubeFill a 5x5x5 box with 25 identical pieces, each made of five unit cubes: a piece of two units glued to a... New
- polycube.boxesWhich polyominoes and polycubes can be packed, all copies alike, into rectangles, boxes and hyperboxes, and... New
- rational.sidesA rectangular region R is divided into rectangular areas.
- rectangles.with.squaresGiven two sorts of squares, (axa) and (bxb), what rectangles can be tiled? Added material
- roman.crossesCover the surface of a cube with five congruent Roman crosses. New
- scalingA given rectangle can be entirely covered (i.e.
- seven.cubesConsider 7 cubes of equal size arranged as follows.
- straight.tetrominoCan a 10x10 square be tiled with 25 1x4 rectangles (straight tetrominoes)? New
- t.tetrominoesFrom a 99x99 checkerboard, the middle square of one side is removed. New
- triangles.squares.hexagonsOne can fill the surface R^2 with triangles, squares and hexagons as shown below. New