Griffin and our Spanish exchange student, Irene, went to the homecoming dance in style.
Maggie at Ren Fest
Gemini Math
As I’ve mentioned before, I play with AI regularly to make sure I understand how it works. Gemini, Google’s LLM, has generally been pretty impressive. It’s not without its hallucinations (and numerous other concerns), but more often right than wrong.

Today, I was working on some exercises for my beginning computer science students. They need to be able to use Cartesian coordinates in their Python programs (using the “turtle” module). Most of them need more practice. I created a simple polygon in GeoGebra so that they can identify the vertices. I needed to create a bunch more.
Then I thought, This is a perfect task for Gemini! I explained what I wanted to Gemini and this is what it came up with:

Yikes! Even if math isn’t your thing, I suspect you’ll be able to see some egregious errors here. It is utter nonsense, wrong in just about every possible way. I’m surprised that it knew which axis to label x and y. (Even then, it added the specious “0” and “e“.)
I think my colleagues in the math department don’t have to worry about being replaced by AI “teachers” quite yet.
Humanizer
First Day of Third Grade
First Day of 8th and 11th Grades
It’s that time again! Maggie enters eighth grade today while Griffin begins his junior year. It’s an orientation day at both grade levels, so there won’t be any real classes until tomorrow. (For the teachers, orientation is far more work than a regular class day, so I’ll definitely earn my meager keep today!)
Road Hazards
After a fantastic morning hiking the north rim of the Grand Canyon of Yellowstone (that post will have to wait for better bandwidth), we headed back to our cabin via the longer route along the shore of Yellowstone Lake. We encountered multiple natural obstacles along the way.
First, a bison crossed the road near Canyon Village. This brings traffic to a stop not just because people don’t want to injure the bison, but because everybody wants pictures. Including me.
Shortly thereafter, we stopped again for an elk with an impressive rack of antlers moseying across. Unfortunately, I couldn’t get a picture. It’s the closest view I’ve ever had of an elk.
Then we were hit with a sudden thunderstorm. The temperature dropped more than 20 degrees in ten minutes and the wind picked up dramatically. The waters of Yellowstone Lake were whipped into whitecaps.
Shortly after Maggie took that picture, we were stopped because a large pine fell across the road about five cars ahead of us. It fully stopped traffic in both directions. A group of road heroes managed to tow it to the side with a large pickup. This only cleared one lane, but it was enough for people to squeeze by.
When we finally returned to our cabins, Old Faithful welcome us home by erupting as we pulled in. Pretty amazing.
Fairy Falls
We hiked up past Grand Prismatic Spring and Fairy Falls to Imperial Geyser. Although it was a relatively easy route, the sun is intense at this altitude, so we were flagging a bit by the time we got back to the trailhead.








Baby Birds
Next to our garage, we have a ramshackle clematis. Hidden within the leaves and flowers is a sparrow nest with some just hatched babies. Meanwhile, a robin has gotten busy with a nest on top of the light fixture containing two bright blue eggs.
Du Nord 2025
Last week, we managed to fit a glorious trip to Camp du Nord into our busy summer. This was our fifth visit to their summer program (see prior posts from 2023, 2021, 2019, and 2016), though we also stayed in a cabin there in January 2024.

We stayed in one of the original cabins, built in the 1930s, called Sans Souci. It was a tiny one-room cottage perched on some rocks on the shore of Burntside Lake. The cabin itself had a single full-size bed. Next to the cabin (but oddly out of frame in all of our photos) is a spacious platform tent with two twin beds.
How did a family of five manage this? Well, Griffin was only with us for the first night. On Monday we drove him and his gear over to Camp Widjiwagan, just a few miles east, where he’s embarking on a three week canoe trip into Quetico Provincial Park in Canada. We missed his lively presence for the rest of the week.
The week included a traditional “polar plunge” into the lake first thing in the morning with dozens of other families. (It’s something of a ritual to start the day… and quite refreshing, especially in the absence of showers. Note that despite the name, the water isn’t especially cold. We have all successfully survived real polar plunges into this same lake through holes in the ice in the winter.)
Maggie and Oliver joined their age groups for activities in the mornings. Sarah and I relaxed, read books, played cards, and walked in the beautiful northern woods. In the afternoons and evenings we went swimming, did art activities, enjoyed the beautiful wood-fired sauna, and played games. The week wrapped up with hilarious skits on the stage by the lakeshore.
On our final night, we experienced a phenomenal thunderstorm. There’s nothing quite like being in a tiny cabin on the short of a lake while mother nature howls in fury overhead. (Come to think of it, Griffin was probably in a pitched tent during the storm… I look forward to hearing his take!) We learned on Saturday that the storms were even worse west of us with tornadoes in North Dakota and 100+ mph wind gusts in Bemidji (about 100 miles from us).
In the pictures below, Maggie is usually wearing her purple hat.
Andrew awoke early on Wednesday morning and took this panoramic video from the rock below our cabin at 4:30 a.m. This was two days before the solstice. You can hear those “early birds” getting their day started.