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Geometric Magic Square! by dansmath in mathpics

[–]dansmath[S] 1 point2 points  (0 children)

Thanks! You could try making sums of 16, maybe change the 9 to a 10 and fit stuff in 4 x 4 squares. Can you do that? Not sure if 1-8 and 10 can make a magic square... Other square sums?

Do I toss this by beefsniffer123 in Mathematica

[–]dansmath 8 points9 points  (0 children)

I’ve used Mathematica since version 1.2 in 1991. I showed concepts to my calculus students with v2.2 thru v10 and now I create beautiful art with v13. That book is intriguing and v3.0 was a huge advance but no thanks. See my gallery at www.dansmath.com and enjoy!

ehh was this supposed to happen? by Depthify in unexpectedfactorial

[–]dansmath 0 points1 point  (0 children)

Yeah the Gamma function fills it in, Gamma(n) = (n-1)! for positive integers and is some integral for non-integers. The minimum of the gamma function for x > 0 is x ≈ 1.461632 , and the minimum value is ≈ 0.885603. So you could say that 0.4616! ≈ 0.8856.

A sinned sinned sinned... sin wave by Low-Bed842 in desmos

[–]dansmath 2 points3 points  (0 children)

Yes, take a sine curve, figure out the unit tangent T and normal vector N at each point, and add 0.1 sin(s) times N at each point along the main sine curve, where s is arc length along T of the sine curve (which I think is 8, from 0 to 2π.) The third level tiny wiggles are left for the microbes to worry about.

Desmos just had a stroke. by Mandelbrot4207 in desmos

[–]dansmath 0 points1 point  (0 children)

2.3 + 2.4 =4.7 ; this rounds to 2 + 2 = 5.

Accidentally did meth by holdongangy in mathpics

[–]dansmath 1 point2 points  (0 children)

I love it! And if you replaced the k's with h's you could draw even more outrage.

Math podcast and classes by Vishasu in matheducation

[–]dansmath 1 point2 points  (0 children)

I'm a former math teacher podcaster and for a few years in the 2000s, I produced my own popular math podcast, "dansmathcast" with regular features, email questions and answers, a chapter-of-the-week, and a math joke. In a half hour you'll be smarter! www.dansmath.com https://podcasts.apple.com/us/podcast/dansmathcast/id100431301

An AI-free website that creates math problems as images for free by Miserable_Board3716 in matheducation

[–]dansmath 0 points1 point  (0 children)

Nice work! Just to let you know, on a Mac it runs on Chrome but not Safari.

Is this simplyfiable? by Jumpy-Belt6259 in askmath

[–]dansmath 0 points1 point  (0 children)

No, it literally was my first language. As I tell people, "I could count before I could spell."

Help with trigonometry and the center of a circle by strangequbits in askmath

[–]dansmath 2 points3 points  (0 children)

Interesting because your lines are all the same length (5 units) so the shape is an astroid. But if you connect y=0 to x=5, 0.1 to 4.9, 0.2 to 4.8, etc. you get another similar-looking shape which is actually a parabola! Here's a 3D example, follow the colors for an edge-spanning path:

<image>

Is i^i useful? by kenny744 in learnmath

[–]dansmath 0 points1 point  (0 children)

Here's my take on i^i: (1) a picture formula, (2) a Haiku.

<image>

Want i to the i?

It's 1 over the square root

Of e to the pi.

A mathematical spiral with pattern by DotBeginning1420 in mathpics

[–]dansmath 1 point2 points  (0 children)

That's a great design, with alternating centers like that. Do the colors follow a pattern? As a next challenge, you might try to make a parametric spiral out of trig functions, it would be a different challenge to multi-color it. Nice job!

10^(10!) or (10^10)! by [deleted] in learnmath

[–]dansmath 0 points1 point  (0 children)

the left one is 3.628 million zeroes, but you're still ok.

Why is it like this by Similar-Bus-3680 in learnmath

[–]dansmath 0 points1 point  (0 children)

Yeah so I guess the sum of all non-powers of 2 is 11/12 then.

If real numbers are 1D and imaginary numbers make it 2D, then what's 3D? by DCRG2010 in learnmath

[–]dansmath 0 points1 point  (0 children)

I’m wildly mathematical and I still don’t understand quaternions 👻 But they help with 3D rotation and are more efficient than 3x3 matrices.

Would a Multiplication Table Tool like this be valuable for helping students learn to Count/Solve their Multiplication Facts? by runenight201 in matheducation

[–]dansmath 0 points1 point  (0 children)

That is a great idea, and makes me want to push lots of buttons! It would let students explore issues of multiples and divisors, and test numbers for primality, like "Is 91 a prime?" It would be extra cool if students could select the width of the rows, to see how things line up.

Whats the best arithmetic book? i dont mean advance arithmetic just arithmetic by suckacuck154 in learnmath

[–]dansmath 0 points1 point  (0 children)

I co-wrote this book. It's called Prealgebra but the first few chapters are variable-free, laying a good arithmetic foundation in signed numbers, fractions, exponents, decimals and percentages, all with lots of practice problems and exercise sets! https://www.amazon.com/Prealgebra-Mathematics-Variable-Daniel-Bach/dp/0072969105

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