Zome: Strut-Length Chart and Product Review

This chart shows strut-lengths for all the Zomestruts available here (http://www.zometool.com/bulk-parts/), as well as the now-discontinued (and therefore shaded differently) B3, Y3, and R3 struts, which are still found in older Zome collections, such as my own, which has been at least 14 years in the making.


In my opinion, the best buy on the Zome website that’s under $200 is the “Hyperdo” kit, at http://www.zometool.com/the-hyperdo/, and the main page for the Zome company’s website is http://www.zometool.com/. I know of no other physical modeling system, both in mathematics and several sciences, which exceeds Zome — in either quality or usefulness. I’ve used it in the classroom, with great success, for many years.

My Complete List of Complaints About My New School

For the last three weeks, for the beginning of my twentieth year as a teacher, I’ve been teaching at a different high school. I am much happier, now, due to this change. This being a personal blog, it is my policy not to name my school, nor school district, here. However, I see no problem with posting my complete list of complaints about this new school. Here it is:


How To Make Tic-Tac-Toe Interesting


How To Make Tic-Tac-Toe Interesting

Tic-tac-toe, played by the traditional rules, is so simple a game that few people with two-digit ages ever play it — just because it’s boring. It is so simple a game, in fact, that chickens can be trained to play it, through extensive operant conditioning. Such chickens play the game at casinos, on occasion — with the rules stating that if the game ends in a tie, or the chicken wins, the human player loses the money they paid to play the game. If the human wins, however, they are promised a large reward — $10,000, for example. Don’t ever fall for such a trick, though, for casinos only use chickens that are so thoroughly trained, by weeks or months of positive reinforcement, negative reinforcement, and punishment, that they will not ever lose. You’d be better off simply saving the same money until it’s cold, and then setting it on fire, just for the heat. At least that way you’d be warm for a little while, and that certainly beats the humiliation of being beaten, at any game, by a literal bird-brain.

With a small, simple alteration, though, tic-tac-toe can actually become a worthwhile, interesting game, even for adults. I didn’t invent this variation, but have forgotten where I read about it. I call it “mutant tic-tac-toe.”

In this variation, each player can choose to play either “x” or “o” on each play — and the first person to get three “x”s or three “o”s, in a row, wins the game. That’s it — but, if you try it, you’ll find it’s a much more challenging game. I am confident chickens will never be trained to play it successfully.

Consider the board pictured above, which happens to match a game I lost, to a high school student, earlier today. Red (the student) moved first, starting with the “o” in the center. I was playing with a blue marker, and chose to play an “x” in a corner spot. This was a mistake on my part, for the student’s next move — another “x,” opposite my “x,” effectively ended the game. I had to play next — passing is not allowed — and my playing an “x” or an “o,” in any of the six open spaces, would have led to an immediate victory by the student. If you study the board, you’ll see why this is the case.

Mutant tic-tac-toe is a great activity for semester exam week, at any school. Students who finish final exams earlier than their classmates can be taught the game quickly and quietly, and then they’ll entertain themselves with this game, rather than distracting students who are still working on their tests. What’s more, students have to really think to play this version of the game well, especially when they first learn it — and isn’t getting students to think what education is supposed to be all about, anyway?