Zebra
Like Land of Eternal Motion, but only half the tiles are trapdoors. The trapdoor and non-trapdoor tiles alternate in long rows, like the pattern on a zebra, thus giving Zebra its name.
Monsters
Items
Objects
Strategies
Unlike the Land of Eternal Motion, there are patterns of tiles that are not trapdoors, and because of this, while a similar strategy of constantly running away can be adopted, it's also much easier to get surrounded by Striped Dogs.
An alternative strategy is to stand still as much as possible, and shift your position only slightly so that the incoming dogs reach you one by one. After several rounds of this, ditches of chasms will build up around the solid tiles, making narrow corridors that are easier for controlling incoming dogs. However, one must be careful not to get trapped between chasms with incoming dogs from all directions, so it's generally a good idea to gradually shift your position over time, keeping one of two lines of ditches nearby as defense to slow down incoming dogs.