Toroidales Tapasyu 2
(Published on 25. October 2014, 00:00 by usp)
Apply the rules of variable Tapasyus (see below).
But note that in this variant the grid is a torus, i. e. the left and right border of the grid as well as the upper and bottom border are connected.
Draw a closed loop into the grid. It must go from the center of one cell to the center of a horizontally or vertically adjacent cell, passing every cell at most one time.
The loop uses every cell with a circle. Circles may be blackened. In white circles the loop keeps straight on but bends in at least one of the adjacent cells (following the loop). In black circles the loop bends but keeps straight on in both adjacent cells.
The loop must not pass cells containing numbers. A number determines how many of the neighbouring cells are used by the loop. These cells must form a group not interrupted by empty cells, but need not to be a contiguous part of the loop. Distinct groups of loop cells around the same numeric cell must be partened by at least one empty cell.
Solution code: The number of black circles in each 'T', clockwise and beginning with the top left 'T'; followed by the number of lines crossing the upper and the right margin of the grid (all in all 6 numbers)
Comments
on 27. June 2024, 00:02 by DiMono
I made a URL to solve on Penpa+: https://tinyurl.com/budbwb5e
Note: for the solution check to work, you should use green for the line, and where the line wraps around, it should be drawn leaving the grid on both sides.
on 4. May 2015, 12:30 by Rollo
extreme toroidaling :-) :-) :-)
on 30. October 2014, 13:50 by Statistica
Mal wieder klasse! Danke!!
on 27. October 2014, 09:31 by CHalb
Sehr beeindruckend. Erst mitten beim Lösen hab ich registriert, dass die wie immer nicht im Überfluss vorhandenen Hinweise obendrein auch noch symmetrisch angeordnet sind. Toroidale Rätsel sind für mich bei Rundwegen so eine Art Königsdisziplin, weil die Extrembereiche Rand und Ecken völlig aufgehoben werden. Und dieses Rätsel nutzt das voll aus; ich finde den Wegverlauf an den Kanten und Ecken sozusagen "sehr toroidal". Und das ganze ist echt interessant, schön schwierig und mir ist nur an einer Stelle ein Eindeutigkeitsschluss aufgefallen.
on 25. October 2014, 22:14 by Senor Dingdong
Schön bis zum Ende!
on 25. October 2014, 12:08 by ibag
Das konnte man echt nicht wieder aus der Hand legen! Danke!
on 25. October 2014, 09:13 by Alex
und ich auch, tolle Serie ueberhaupt.
on 25. October 2014, 08:21 by Luigi
Dem kann ich mich nur anschließen!
on 25. October 2014, 06:51 by r45
Suuuuper!
