Sorry. The previously posted image contained a mistake.
Tile D2 was shown with a 180 degree rotation. The image has now been corrected.
This is a straight-forward arrangement puzzle.
You are given a set of tiles showing each a blue and a red arrow pointing in one of 8 directions. Your task is to rearrange these tiles - without rotation or mirroring - such that each blue arrow is pointing to a neighbouring tile containing a red arrow pointing back to the tile. Additionally, all connections need to form a single, continuous cycle, like in the following mini-example:
Your set contains the following 49 tiles, which must not be rotated or mirrored, just shifted:
The grey triangle is just to mark "up" so that you can print those tiles, if you want and don't accidently rotate them.
Rearrange tiles into a valid 7x7 grid.
This question has at least one solution. Preferably post the solution as image. Alternatively as a grid of tile-IDs using the indexing provided in the tile-set to identify the tiles. (i.e. the first tile is tile (A1) and you use A1 in the position you think it should be in.)
The original post had two more "bonus" questions which have found their answers already. I'm posting them for reference only.
Take away a single tile of your choosing. Can you rearrange the remaining 48 tiles into either a 6x8 or a 8x6 valid grid? If you can not do this with a single 'loop' you may create a grid which contains multiple closed loops, but each tile must belong to one such loop.
Can you repeatedly take away a single (freely chosen) tile while managing to rearrange the remaining into *any* rectangular grid? (i.e. find arbitrary solutions for (n x m) grids with 49, 48, (47), 46.... 4 tiles where each 'smaller' set has to be created by taking away a single tile from the next larger set. If the set-number is a prime number, you can skip it (i.e. take away another tile). Again, single closed loops are preferred, but multiple closed loops are allowed.
Both bonus-questions are answered by John Stevens in the answer below.
This puzzle seems to be harder than I thought it would be. To keep things rolling, I'm adding some hints, i.e. some information about specific tiles/positions.
The 4 corner tiles are (without order):
F7, F6, F3 and D7.