This is a different 'connect the dots' puzzle.
Your task is to connect the blue and yellow nodes in the map below with links such that the created network guides two signals emitted from the two red triangles to the green pentagram. In doing so, each node needs to be used by at least on of the two signals at least once.
Clarification: Your task is to provide the additional links. Once they are all set, signals start and move according to the rules until they either die or end in the green node. You can no longer influence this at this stage.
The following rules apply:
- A node may be visited as often as one likes.
- Each node needs to be visited at least once by at least one signal
- The signal strength when reaching the final node (green pentagram) does not matter.
- Node labels are only to allow easier writing of an answer.
You may create as many links as you wish.
Already drawn links are fixed and can not be removed.
A link has to connect two nodes in a straight line.
Links have to leave nodes radially.
(If you prolong the line it has to go through the centre.)
Links must not cross each other at any point.
Links must not 'touch' any other node.
Links and nodes have the dimensions as in the original map.
(They are not mathematical points and lines.)
Examples for valid and invalid links are:
(valid; invalid because crossing; invalid because touching other node; invalid because not radial)
Each signal travels along a link from one node to the next node.
Each red triangle emits one signal of strength 5 towards the first connected node.
Signals do not affect each other.
(You can think of them as being emitted in sequence, i.e. the second is emitted after the first reached it's goal.)
The moment a signal arrives at a node, the signal strength is either:
- decreased by -1 (blue node)
- increased by +2 (yellow node)
A signal of strength 0 dies and is removed.
Once a signal has arrived at the node it moves clockwise for as many outgoing links as its strength indicates. (It may do full circles multiple times.)
i.e. for a strength of 3, the signal would leave the node via the 3rd link after the one it came from.
The following images illustrate the signal movement:
There exists at least one solution. It may not be unique. You can specify your answer either by an image (preferred) or by specifying all links (2 node-labels each) and the path each signal takes (by node-labels.)