#heptagonal

[thisisamess]

[steelboxmaker]

D-Shaped Pipe Made From Round Steel Tube Video (D profile)

[aterfish]

Show me how to be whole again

[jareckiworld]

Félix Del Marle (1889-1952) — Heptagones [oil on hardboard, 1946]

[houndsofbalthazar]

It's a hard circle* to square, being both very interested in physical currency and an anti-monarchist. Coins and banknotes are fascinating but I don't care for the little pictures of kings and queens and all that malarkey.

* or being as this is a post about coins, a hard circle, circle, circle, circle, heptagon, heptagon, dodecagon, and circle to square.

[celestialmacros]

Heptagonal Orbweaver, male  (Gea heptagon)

June 16, 2023

Southeastern Pennsylvania

[gorrus]

[somethingusefulfromflorida]

I have become obsessed with drawing heptagons recently

While regular heptagons are impossible to construct using a straightedge and compass, they are easily approximated using only units, halves, and thirds.

Start with a 5x5 square. Five of the seven corners will end up touching it.

The bottom two corners of the heptagon are each 1⅓ units from the corner of the square

The next two corners are 1⅔ units up the sides

Along the top edge of the square, the next corner falls on the midpoint 2½ units along.

From there, mark off the final two corners one unit down and 2 units across towards the sides of the square. They are exactly ½ a unit from either edge, and 4 units from each other.

The resulting heptagon has 4 different side lengths ranging from 2.134 to 2.386, close enough for government work.

w = 2.33333...

x = 2.13437 (square root of 41/9)

y = 2.38630 (square root of 205/36)

z = 2.23607 (square root of 5)

A regular heptagon has interior angles of exactly 900/7 degrees (128 4/7°, 128.571428...°). I'll spare you the rest of the trigonometry, but this approximate heptagon has one angle of 126.87°, four angles of 128.66°, and two angles of 129.245°

Regular of approximate, the heptagon does not perfectly tile the plane. The densest packing has concave octagonal gaps in between groups of six heptagons. Looking at the grid, the gaps can be thought of as two irregular pentagons side by side.

Using only halves and thirds, I was able to fill an entire page with heptagons. There's no point to any of this, I just thought it was fun to do. It's calming to me. Simple but non-trivial. A good time filler (not a time waster, mind you)

[billsona-extravaganza]

Does the crown named Crownly have…. A crown???? Is the little crown atop the crown named Crownly sentient?? Does the little crown atop the crown named Crownly cry out to the heavens to be freed from the prison that is atop the crown named Crownly’s pointy little head?

i dont,, 😰

im a heptagon...?

[smile-files]

laying into summer music

wall fell down so i built a new one

dumped my nervous tendencies-cies

see what you've become from me

(objectober day 15: home)

[xpandamind]

Exp Heptagon Twist

[batz]

im glad they cut the ford/lucy/bob love triangle bc i rlly dislike love triangle stories i was so worried it was gonna be bob and ford fighting over lucy (cliche) but it was actually going to be bob and lucy fighting over ford??? LMAO (i mean also cliche but also Not Expected. glad bob was always gay tho yayyy)

everyone wants tgat weird old man i guess

[vividbadsquadreal]

DAMN! that shapes top 5

i agree with hexagon (and I add to that: bees)

triangles are important, as someone from Chile without even knowing the engineering behind buildings (i know behind sound) these help to create a good sismical resistant structure, plus it is said to look for the triangle of life in case of these (being beside a table instead under it to create it)

also: the Ken edit with the Kenough hoodie omg

and lastly: opinions on trapezoids?

—An sleep dancer

BEES you’re so right

that’s so interesting!! it’s nice when shapes have actual practical uses :)

trapezoids - i like the variety of these ones as well! they’re funky little guys and i love that for them.

forgot to put this in the shapes post but i need to bring this up; heptagons are my least favourite shape. if i see a maths question about a heptagon it instantly makes my day worse. they’re unnecessary complicated. i have. strong feelings about this.

[notreallyherehahaha]

A Ring of Fourteen Heptagonal Prisms

I made this using Stella 4d, which is available here.

[obsession-expression]

Alright then. I have a request. Draw two heptagons.

PIKACHU

Anyway this was really fun even tho it was a simple request vary cool 😎