Peanuts by Charles Schulz for July 05, 1972
July 04, 1972
July 06, 1972
Transcript:
Snoopy sits by his supper dish. He smiles and sighs.<BR><BR> Snoopy walks and thinks, "This is the kind of evening that brings back memories of the Daisy Hill Puppy Farm."<BR><BR> Snoopy lies on the doghouse on his stomach. He thinks, "After supper, a couple of other dogs and I used to chase each other around the yard . . . It was a good game . ."<BR><BR> Snoopy rolls over and thinks, "The rules were simple."<BR><BR>
So, the game involves three dogs (say, Snoopy, Andy, and Olaf). The rules are: Snoopy chases Andy, who chases Olaf, who chases Snoopy.
In this process, the triangle SAO will be shrinking and rotating, but retain the shape of the original triangle (it will have the same angles). Eventually, all three dogs will meet at a point called a Brocard point of the triangle SAO.
In the alternative scenario, when Snoopy chases Olaf who chases Andy who chases Snoopy, they meet at a different point, also called a Brocard point.
The game is not as simple as it sounds… for more, see http://www.takayaiwamoto.com/Pursuit_Curves/Pursuit_Brocard.html or https://mathtourist.blogspot.com/2020/12/pursuing-pursuit-curves.html