Puzzletober 2025: Deer
The newcomer carries his hat and continuously wrings it out on the walk back to the hotel. The conversations of the patrons pause when a rustle is heard not too far away in the forest. The farmer tells the newcomer, "There's quite a lot of wildlife around here. Last year, we came across some deer antlers on the ground." The economist quickly adds, "It's not a matter of concern. Deer shed their antlers about annually. The ones we found were rather impressive. I didn't know they could grow to be that complex."
Rules: Draw a tree starting from the marked gridpoint that doesn't self-intersect or form loops. All nodes should be on gridpoints. There are two branches from the starting point, which split the pair into a left antler and a right antler. The left antler will have the same protruding lengths from each node as the right antler, but the order in which the lengths can be found when revolving around each node from the branch that leads to it will be in opposite directions. Angles may differ between antlers. The structure and corresponding lengths for the left antler are given, in which choosing a higher option in the tree corresponds to turning more to the left when traversing it. An example has been provided.
A mistake was made when transcribing this puzzle. The square root of 5 that appears to branch from the square root of 26 should really have branched from the square root of 13 just before it. This mistake has been corrected in the penpa link.
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