Logic Masters Deutschland e.V.

Wichtelkalender 2013 - Oktober

(Published on 1. October 2013, 00:00 by pin7guin)

Toroidal Underground

This is the year 2358. Moon-Holidays are the thing! Auclida has been on a visit on the moon and she tells her colleagues, what she has seen there:

The most important moment for me was to stand where Neil Armstrong - first human on the moon - set his feet.

Auclida tells from Mare Serenitatis and Oceanus Procellarum and the lots of craters.

Did you have to wear a spacesuit the whole time?, Folarin asks.

Surely not. On the moon there is an underground! And you can watch the points of interest from climated domes. But I booked a walk on the moon and till I was in this spacesuit and...

Did you bring a map of the underground? Biag was excited.

Of course! Auclida was searching in her backpack. But… - how can I say?

What?!

Well – I was watching the Earth all the time. So I forgot my tomato juice. While landing it flowed over the map. And now hardly something is visible...

Angry! Can you remember anything?

Wait - Yes: the underground is on the whole moon. You cannot draw it in a plane, so the map is toroidal. Every possible sort of way is drawn just once out of the map. And I had to go a long way from Apollo 11 landing place to Surveyor 5. So there is no way between the 4th and 5th column in row 8.

That's all?

Let me think - in the row the underground leaves the map, there is underground in every part of the map.

…and Biag and Folarin were sitting there with the map and started the reconstruction.

Draw a map of an underground with lines from center to center of orthogonally neighbored fields. At the center of a field the lines may run straightforward, turn or branch. There are no dead ends. The numbers at the borders give the corresponding numbers in that row or column. The pieces may be rotated.

Solution code: For rows 1 to 9 the number of lines going down.

Last changed on -

Solved by Thomster, ch1983, Alex, pirx, Mody, ibag, Zzzyxas, tuace, ildiko, Statistica, Babsi, rimodech, zorant, relzzup, kiwijam, matter, Luigi, fridgrer, AnnaTh, Joe Average, sandmoppe, dm_litv, sf2l, amitsowani, ffricke
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Comments

on 1. August 2018, 14:49 by sf2l
thank you Claudia

on 1. August 2018, 13:21 by sf2l
do I understand correctly the sentence "Jede Sorte Wegstück führt dabei genau einmal über den Rand des Plans hinaus". so there are in total 4 lines which leave the map, one per each type of symbol. correct?
and also. what does the following sentence mean "in der Zeile, in der die U-Bahn über den Plan hinausgeht, gab es in jedem Planquadrat ein Stück U-Bahn."is it a repetition of the concept or what? Even the english text is unclear.

on 1. August 2018, 13:04 by pin7guin
@sf2l: 1) Yes.
2) It means: there are no empty cells in that row.

on 1. August 2018, 12:31 by sf2l
do I understand correctly the sentence "Jede Sorte Wegstück führt dabei genau einmal über den Rand des Plans hinaus". so there are in total 4 lines which leave the map, one per each type of symbol. correct?
and also. what does the following sentence mean "in der Zeile, in der die U-Bahn über den Plan hinausgeht, gab es in jedem Planquadrat ein Stück U-Bahn."is it a repetition of the concept or what? Even the english text is unclear.

on 2. September 2014, 08:12 by AnnaTh
Boah! Super Rätsel! Aber der Papierverbrauch war enorm.

on 4. December 2013, 23:19 by ibag
@RALehrer: Further every kind of shape goes exactly once out of the flattened picture from left to right or from top to bottom.

on 19. November 2013, 04:31 by kiwijam
A toroidal moon? Interesting!

on 19. October 2013, 18:30 by Statistica
Klasse Rätsel. Vielen Dank!!!

on 3. October 2013, 11:17 by Mody
Toller Wichtel, und schön schwer :)

on 1. October 2013, 19:03 by Alex
mal wieder ein toller Wichtel! Danke schoen!

Difficulty:5
Rating:91 %
Solved:25 times
Observed:2 times
ID:0001SL

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