#geometric shapes

[annaxmalina]

{2023} ★~

[mathmatrivia]

So how big does the inner circle need to be in order to put those four points on one straight line?

It turns out to be about 38%. But this is math. We want to know exactly how much and we want to know how to find the answer!

Let's consider the bigger circle a unit circle, so R = 1. Then consider this triangle.

Ten equal sectors define the entire 360°, so they're 36° each. The center-touching angle of this triangle encompasses 2 of those sectors. Therefore, 72°.

Unfortunately, I have to use cosines now. Those who fear trigonometry may want to look away.

Cosine equals adjacent over hypotenuse. We defined the hypotenuse to be 1, because it's a unit circle. So the cosine of 72° is the height of that triangle divided by one. Or just the height of that triangle. h = cos 72°

Now lets look at this slightly different triangle.

That's only 1 out of 10 equal sectors that make up the entire circle. That's a 36° angle. And the cosine of that one is the height of the triangle (the same as the other triangle) divided by the radius of the inner circle — exactly we're trying to find! cos 36° = h / r But we know what h is. cos 36° = cos 72° / r Now we solve for r. r⋅ cos 36° = cos 72° r = cos 72° / cos 36°

That's the exact answer: cos 72° / cos 36°

If you throw it into a calculator, you'll get something like ≈ 0.3819660112510519363...

Like I said, about 38%. Or 38.197%, if you want to be pedantic. Which I hope you do.

And if you don't want your stars straight... that's fine, too. Every star is perfect for someone. ❤️🧡💛💚💙💜

[clutterthings]

Really Big Bright Buttons

[viagginterstellari]

Jabreen, 2019

[mymangamemes]

Toddlers learning the next shape after triangle and square

From The Abandoned Princess' Secret Bedroom (fan translation) by Hyeni and Sung Hye-rim

[misscromwellsmonocle]

Triangles (1928) by Imogen Cunningham

Instagram ban of Imogen Cunningham nude photos stuns Boston museum

[uh-idk-br0]

Haha, bros mad he’s the shortest

Gaster in different shapes! Look at em, they’re so squishable!

[balluprojects]

Shape Mash-up, 2019

reference photograph for something long forgotten have a great one*

[roselyn-writing]

My OCs and Symbols/Shapes I associate them with!

A/N: Some of Symbols/Shapes meaning are made by me, I brainstormed my brain for these ideas and meanings. Also, pic isn’t mine, I found it in Pinterest.

Aliyaa Aepel: Circle, Heart, Black feathers.

Circle means: Unity, Heart means: Love and Compassion, Black feathers represent Darkness in Virginia.

Scylla: Triangle, Daggers.

Triangle means: Stability and Power. Daggers represent pure blood-lust in Virginia.

Arouj Roman: Demon eye, Yin and Yang, Trefoil.

Demon Eye: In Virginia; It represents demons and their ranks. Yin and Yang: Balance between two opposite things good and evil, Light and Darkness.

In Virginia Trefoil represents the seeker of redemption.

Simone Decrōnt: Rhombus/Diamond, Crescent and purple feathers.

In Virginia Rhombus represents Royalty and Prestige, Diamond represent power and Cresent represent the ‘good well’.

Purple feathers represent the reboundness of one’s soul An rising up against the odds.

Hadi Aepel: Square, Oval, Octagon. Arrow with Cirle.

Square means stability, fixed nature of matter, Strong foundations.

Oval represents: Immortality and infinity.

Octagon in Virginia represents good well and honesty. Arrow with Circle represents love for adventure and trips.

Eevie Al’shayle: Hexagon, Arrow, Pentagon, Decagon.

In Virginia, Arrow represents the change of one’s perspective of life; specifically, changes for the better, Personal growth, And the relentless pursuing of one’s true desires and goals.

Hexagon represents Harmony, Pentagon represents: Mutual recognition and good well. Decagon represents sincerity and innocence.

Selviya Levsloky: Infinity, Star, Key. Infinity represents immortality, Star represents hope and good well, Key represents liberation, never giving up.

Derek Monrik: Arrow, Hexagon, Spade ♠️.

In Virginia, Arrow represents the change of one’s perspective of life; specifically, changes for the better, Personal growth, And the relentless pursuing of one’s true desires and goals. Hexagon represents Harmony. Spade represents swords which represent strength and power. Spade In spirituality represents intellect, Action.

Ardin Kayuel: Four-leaf Clovers, Shamrock, Quatrefoil.🍀☘️

Four-leaf Clovers represent luck and fortune. Shamrock represents good well and mercy, hope and love.

Quatrefoil also represent good luck and fortune and well intentions.

Harumi Rose: Mystic Knot, Dragon, Yin and Yang too. Mystic knot represents: A harmonious flow of auspicious energy uninterrupted by any setbacks, misfortunes or accidents, This represents Harumi Rose so much.

Dragon represents: Strength, Wisdom and Power.

Yin and Yang: The balance between two opposite things Light and Darkness, Good and Evil.

Satoshi Hasashi: Chains, Torch, Pagoda, Yin and Yang as well. Chains: Represents connections and attachments, Imprisonment, A shared destiny and Eternity. Which resembles Satoshi Hasashi So well when he becomes the Grandmaster of the Shirai Ryu.

Torch: Freedom and liberty.

Pagoda represents: The path heightened awareness and heightened perception, Which Satoshi will learn later on.

Yin and Yang: The balance between two opposite things Light and Darkness, Good and Evil.

I will add more to this post!

[freshdesignflow]

'Pivot ATD7 portable table lamp' by AndTradition.

art object + hybridation

[sweetscraftsandfineart]

#57. Not for sale....yet.

[nemfrog]

Cubes represent the amount of essential and nonessential elements in soil. Soils and Soil Fertility. 1916.

Internet Archive

[caprin-mallow]

Capris Melpheus

Demi goddess of dreams ♑️🌌

Mellow’s Demi god form

~

(Bonus) “Shapes in the Sea” 🔷🌊

[viagginterstellari]

Shamun-Nabi Mausoleum - Mizdakhan, 2022

[kaleidoscopeshortvideos]

📺 Watch Techno Visual Kaleidoscope - Hexagon Structures Abstract Art

[clumsydoodles]

some shapes