Lmst

This is lovely, Dave! #mathematics #mathEducation #trig #trigonometry #math #maths #teaching #calculus

#ThisWeeksFiddler, 20250530
This week the #puzzle is: Can You Weave the Web? #geometry #trigonometry #probability (Link at the bottom.) A spider weaves a web within a unit square (i.e., a square with side length 1) in the following haphazard manner: First, the spider picks two points at random inside the square. In particular, it picks the points […]

https://stuff.ommadawn.dk/2025/06/03/thisweeksfiddler-20250530/

In our high school math textbook, there were formulae for converting sums of trigonometric functions to products. We were tested of their knowledge. I hated them because there was no imaginable practical use for them.
One time, my late grandmother who was a chemical engineer, found an artifact of her young days in a cabinet — a slide rule.
When I came to visit her, she showed me that thing and offered to show me how it was used. "Look, it's trivial to multiply, but to add... let me show you, there's a trick for that".
Then the true purpose of the useless formulae clicked. They were there to help people make their lives simpler in the slide rule era. And then, no one thought to remove them from the textbook and it was reprinted with those out-of-context artifacts still in.

#math #trigonometry #sliderule

7️⃣ 749 ❤️ Pure #CSS Möbius 6hedrons https://codepen.io/thebabydino/pen/mJojKd

The how behind I live coded it in 30 minutes https://css-tricks.com/how-i-live-coded-my-most-hearted-codepen-demo/

Could be improved with CSS variables nowadays, see https://css-tricks.com/simplifying-css-cubes-custom-properties/ as well as by using CSS trigonometric functions.

#3D #Maths #geometry #cssTransform #cssTransforms #trigonometry #code #web #dev #webDev #webDevelopment #coding #frontend

#programming #trigonometry #lisp #ellipses #graphing #commonLisp #gnuplot #mathematics #(loosely speaking) An article that was way too hard to write for what we got. I don't know why it was so complicated. Not enough coffee today? I could have done literally anything else. At least the separately drawn coarse hulls of the ellipses look oddly charming?

https://screwlisp.small-web.org/programming/common-lisp-simple-rotated-ellipse-in-two-lines/

Please tell me all the things I have done wrong ;p

At least I noticed and put a bandaid on floats in my gnuplotting.

Three gnuplotted ellipses. They look very chunkily represented. The chart is titled Some random ellpises. The top hull and bottom hulls are differently colored (separate lines gnuplotted). The numbers 0 to 9 are on the left of the plot.

Seven intersecting gnuplotted ellipses. The picture is abstract and messy. They look very coarsely sampled. The chart is titled Some random ellpises. The top hull and bottom hulls are differently colored (separate lines gnuplotted). The numbers -2 to 12 are on the left of the plot.

A little helper/ explainer demo on @codepen: Polar (r, θ) ➞ Cartesian (x, y) coordinates
https://codepen.io/thebabydino/pen/KNxXZJ

Drag the sliders to see how the result changes.

#CSS #SVG #Maths #trigonometry #coding #web #webDev #webDevelopment #dev #code #frontend #javascript #JS

Screenshot of demo. For a radius of r = 400 (px) and an angle θ = 60°, we have:
x = r·cos(θ) = 400·cos(60°) = 200
y = r·sin(θ) = 400·sin(60°) = 346

Seen in a tutoring job offer:

"My daughter is struggling with secant, consent and trig equations, as well as contingents."

:catthinking: Consent and contingents???

#tutoring #math #trigonometry #JobAd

Finding Values on the Unit Circle! (Sine, cosine) #maths #calculus #unitcircle #trigonometry

A quick way to find values on the unit circle in the first quadrant!In this video I show how to sketch the values corresponding to 0, pi/6, pi/4, pi/3, and pi/2 on the unit circle.Using those values I show how to evaluate sine and cosine.This is useful info for those of you in precalculus or calculus!

https://authorjonathandavid.com/precalculus/finding-values-on-the-unit-circle-sine-cosine-maths-calculus-unitcircle-trigonometry/

Find the Period and Amplitude of a Sine Function #maths #trigonometry

In this quick tutorial, learn how to easily find the period and amplitude of a sine function! This concise example demonstrates the step-by-step process, which can also be applied to cosine functions. Perfect for students in precalculus and trigonometry, this video covers essential concepts that are often required in math classes. Key Topics Covered: Amplitude: Understand how to identify the…

https://authorjonathandavid.com/trigonometry/find-the-period-and-amplitude-of-a-sine-function-maths-trigonometry/

When you strictly replace your available var types with vectors, a whole new world of physical simulation opens up.

You'll limp along, by mapping magnitudes to familiar constants, but you will outgrow that cringe.

A world where partial differential equations roll off your fingertips, like butter and syrup roll off of a stack of pancakes.

Learn to code in 3 dimensions.

Breathe #trigonometry.

A fun little scroll-driven thing I made. The text is white over the image, but the image isn't static, it rotates on scroll. 😼

Here's a detailed explanation of the how behind https://www.reddit.com/r/css/comments/1jyu76v/comment/mn2fibt/

Live on @codepen https://codepen.io/thebabydino/pen/dPPbmao

Also uses container queries, CSS trigonometric functions.

#CSS #scroll #cssAnimation #code #web #scrollAnimation #frontend #coding #dev #cssVariables #cssTransform #webDev #webDevelopment #cssMaths #trigonometry

Saw a @codepen demo using... a lot! of elements (screen 1) and quite a bit of #CSS to create a simple loader, so I forked it and made a 1 div version (screen 2) in under 30 CSS declarations (gradients, mask, variables to only change --c0 and --c1 values for 2nd loader): https://codepen.io/thebabydino/pen/PwoLJLR

#cssMask #cssGradient #conicGradient #maths #trigonometry #Sass #loader #web #dev #webDev #webDevelopment #code #coding #frontend #cssAnimation

Screenshot with DevTools open, showing each loader being created with a div with 4 other nested div elements, 2 span elements, 2 i elements and 2 pseudos inside.

Screenshot with DevTools open, showing each loader being created with only 1 div and its 2 pseudos.

Day 24 of ‪Ayliean's @ayliean.bsky.social‬ #MathArtMarch thread Two pairs of #equal #equations: y=sin(x) equals y=x-x³/3!+x⁵/5!-...+x^(2n-1)/(2n-1)! y=cos(x) equals y=1-x²/2!+x⁴-...+x^(2n)/2n! See ALT, please! #mathematics #trigonometry #sine #cosine #Taylorseries #Taylorexpansion #Euleridentity

RE: https://bsky.app/profile/did:plc:enw4w6ihzt4uomkphuxuvczu/post/3lje6cgmacs2u

Visualization of the famous Euler identity with the help of this ingenious toy: https://www.matheretter.de/rechner/gfplot
The screenshot shows the functions f(x)=sin(x), g(x)=x, h(x)=-x³/3!+x, i(x)=x⁵/5!-x³/3!+x, j(x)=-x⁷/7!+x⁵/5!-x³/3! +x, k(x)=x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, l(x)=-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, k(x)=x¹³/13!-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x

Visualization of the famous Euler identity The screenshot shows the functions f(x)=cos(x), g(x)=-x²/2! +1, h(x)=x⁴/4!-x²/2! +1, i(x)=-x⁶/6!+x⁴/4!-x²/2! +1, j(x)=x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1, k(x)=-x¹⁰/10!+x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1, l(x)=x¹²/12!-x¹⁰/10!+x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1,

It's a mathematical fact! 😎

#Pi #Sin #Glutony #Math #Trigonometry

#tinyCSStip Simplifying animations with variables and mathematical functions.

Same result, just not writing almost the same `text-shadow` a bunch of times in a bunch of keyframes.

Live test on @codepen https://codepen.io/thebabydino/pen/MYWXgdZ

#CSS #Maths #code #coding #frontend #web #dev #webDev #webDevelopment
#cssMaths #trigonometry

Old CSS

```
.my-elem { animation: glow 5s ease-in-out infinite }

/* repeating most of the shadow so many times */
@keyframes glow {
0% { text-shadow: 0 0 5em red /* hsl( 0 100% 50%) */ }
16.7% { text-shadow: 0 0 1em yellow /* hsl( 60 100% 50%) */ }
33.3% { text-shadow: 0 0 5em lime /* hsl(120 100% 50%) */ }
50% { text-shadow: 0 0 1em cyan /* hsl(180 100% 50%) */ }
66.7% { text-shadow: 0 0 5em blue /* hsl(240 100% 50%) */ }
83.3% { text-shadow: 0 0 1em magenta/* hsl(300 100% 50%) */ }
100% { text-shadow: 0 0 5em red /* hsl(360 100% 50%) */ }
}
```

New CSS

```
@property --hue {
syntax: '<angle>';
initial-value: 0deg;
inherits: false
}

.my-elem { /* no repetition */
text-shadow: 0 1px calc(3em + 2em*cos(var(--hue))) hsl(var(--hue) 100% 50%);
animation: hue 5s linear infinite
}

@keyframes hue { to { --hue: 1turn } }
```

Wow, a riveting tale of sunset geometry 🌅📐—because who doesn't want to spend their evening calculating the Earth's radius with a single sunset photo? 🤓🔍 Clearly, classical #trigonometry just wasn't making math nerdy enough, so let's sprinkle in some Geometric Algebra for extra pizzazz. 🎉
https://www.shapeoperator.com/2016/12/12/sunset-geometry/ #sunsetgeometry #mathnerd #GeometricAlgebra #STEMeducation #HackerNews #ngated

Crochet is math. If you're having issues making flat circles, look at this.
https://m.youtube.com/watch?v=ycOV-q73qpE
(I use an alternative front end for YouTube)
#crochet #math #fiberarts #circle #geometry #trigonometry

The show of the day is Trigonometry with 3 characters and a show score of 55.58

https://lezwatchtv.com/show/trigonometry/

#lwtvsotd #Trigonometry

Show of the Day: Trigonometry

The LezWatch.TV show of the day is "Trigonometry," with 3 characters and an overall score of 55.58. - #LWTVsotd #Trigonometry - https://lezwatchtv.com/show/trigonometry/

https://lezwatchtv.com/show/trigonometry/

Imaginary numbers aren't just mathematical curiosities. They simplify #trigonometry, #calculus, and #geometry, opening up new possibilities in #math and #science. A mathematician explains: https://theconversation.com/taking-a-leap-of-faith-into-imaginary-numbers-opens-new-doors-in-the-real-world-through-complex-analysis-233965

#trigonometry

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