Emmett has been reading and re-reading and re-reading all of the Murderous Maths books, and enjoying them immensely. He told me that you can't have a right triangle with an obtuse angle in it. I, being a geek and kind of mean, said, "Well, you can't unless the triangle is on the surface of a sphere." We've talked about triangles on spheres before, but I was a bit surprised when he confidently responded, "Correct!" His dad, not to be outdone, wondered about a triangle on a hyperbolic plane (shaped like a pringle), but shortly concluded that it could only be done in spaces with positive curvature. Emmett has it coming at him from all sides...
Emmett and I went skiing today. Because of the location of runs at Brighton, I generally have to go down one of the steepest runs I'm willing to ski right at the start of the day. Since I'm not warmed up and it's pretty darn steep (for me, anyway), I tend to try to ski it very slowly, taking shallow traverses across the mountain so I don't feel like I'm going to lose control. I was talking about that with Emmett on our next lift, saying, "When I'm on the steep stuff I want to be sure I can stop, so I almost stop before every turn, which I know is ridiculous, but..." Emmett jumped right in and said, "Yeah, mom. You look ridiculous."
My sister's husband, Dean, got the most amazing video of our eclipse. We were so very lucky to have thin clouds for most of the period of totality. Jump ahead to 4:25 to hear the crowd as we head into totality.
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