Niiiice! Funny, that three over 2 in 4/4 is the easiest thing I ever learned to play, can even flip back and forth between hands just going back and forth. It’s like it’s my natural rhythm it came so naturally years back. It’s the 5s, 7s, and such. I look at the Black Page where I just smile and, “Nope. Oh look I must have a meeting or something to get to.” 🙂 Terrie Bozzio and Frank Zappa. What a pair.

That’s a good Picard.

]]>Oh, definitely, three over two in 4/4 is a triplet (and very hard to learn to play). I was just saying there are four posts (plus this one) in the “imaginary numbers” series.

(Now I’ channeling Capt. Picard, *“There are FOUR lights!!”* 😀 )

Yes, four quarter notes post to a full measure, and consequently why I like the deceptive simplicity of 2 versus 3 right hand to left lining up in a way that SOUNDS like triplet structure, though is actually in 4/4 time.

]]>YES! Yes, definitely. I love that stuff. It gave my geometry prof hell early on with the leaps I’d make in proofs, though at the end it would square up something like, “See Jordan? See how I butchered your proof?!!” “Yes, Mr. Boyd, I do. Though, do you see how you butchered it from 56 steps to resolve between the two of us in Geometry Tennis to 68 in the end? And, that the answer in the back of the book took like 93 or 94 steps?” 🙂 :)Great times at the chalk board those were. Fond memories. Like Spencer Tracy in the Scopes Monkey Trials or 12 Angry Men for geometry.

]]>*Four* quarter note posts for a full measure. 🙂

Nines are cool in virtue of being the last digit. That multiples of nine progression, each adds up to nine, and one can always tell if a number, e.g. 85473, is divisible by nine: 8+5+4+7+3 = 27; 2+7=9. 85473÷9=9497

Same trick also works for 3 if the digits add up to 3, 6, or 9.

]]>I’ll look forward to checking the other 3 out! It WAS a great meal! I ate it all up with ‘More, please. Can I have seconds? Now 2nds, 3rds, an 4ths. Quarter note triplet, anyone?”

I was an Architect or 30 years, 14 of which were with my own firm. Geometry and numbers were always a natural affinity and talent that I developed into abilities like a love of poetry, though with a love of arithmetical relationships. I never really got he hang of the ABC’s of DiffEQ to turn calculus into a fluidly fluent language, though not only do numbers not lie, they tell wonderful stories.

Heck, the dynamism of simply the 9’s multiplication table mirror-folding over itself:

09:18:27:36:45::54:63:72:81:90

And, then add 9 to any number, and the reduction number is the same number. 9 + 5 = 14 = 1 + 4 = 5, etc.

]]>I can honestly say this is the first time someone has compared one of my maths posts to a nice meal!

This post is actually a followup to a series of four posts starting with this one getting into complex numbers. I’ve known a lot of people who think sqrt(-1) is abstract and not real, but it does naturally arise from the concept of numbers.

Hadn’t seen that video. Pretty!

]]>This post is like pizza. Even when it’s bad, it’s still pretty good, and this is a great white pizza concoction with all the best plus an arugula salad on the side with shaved Romano, toasted pine nuts and, an olive oil lemon juice glaze dressing and a sassy white peppered Carmenere like Sant Carolina Carmenere… out in the back open air seating at Pasquini’s in Denver.

Great post! I love dancing through fundamentals. They are never compulsorily, and the foundation to brace against of them never gets old. I resonate with how you tracked through. Felt like one circular branch of a fractal Tracing a circle coming back around to continue. Nice loop.

Have you seen Cristobal Vila’s “Nature By Numbers”?:

Which is cool, because you’ll need that for quantum physics. It’s also a big part of Emmy Noether’s symmetry work, so it’s part of our understanding of the conservation laws, such as conservation of momentum.

]]>It’s about math errors and math illiteracy (innumeracy), and it’s both funny and terrifying.

One story Parker relates involves a British lottery idea that had to be withdrawn from sales after a few days due to massive buyer confusion. It involved temperatures. There was a concealed temperature the buyer exposed that had to be *lower* (*colder*) than the temperature printed on the ticket.

The problem was negative temperatures. The revealed temperature might be **-6** while the temperature on printed on the card might be **-9**. That would be a *losing* ticket.

But, to some people, **6** is *less than* **9**, so both the buyer (and the convenience story cashier who sold the ticket) thought it was a *winning* ticket.

After enough times that happened, that lottery was withdrawn.

Funny

(Other stories, involving math errors that killed people, are terrifying.)

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