Flow, with updated colours. The blue just felt like it didn’t fit anymore, and I like this version better. All of my products have also been updated to this version.

Mathematical fun fact of the day 3:

You can tile a regular 30-gon using a pentagon and rhombus.

“In a certain kingdom, in a certain land, there was a village, surrounded by a forest, and a wide river nearby…”

**********

From the Steddie Big Bang project 020, Tessellation (by the incredible @maryofdoom).

Six stories about Steve and Eddie, in six very different universes - check it out here!

might as well post some art, have something fun i did :)

im still super proud of it still to be honest, it turned out so well

カゲ   ヒカリ  　　(via igatoxin)　 ／図地反転

Mansilla + Tuñón, Ciudad de León Auditorium, León, Spain, 2001 VS Tessellated floor, South transept | St. Mark's Basilica, Venice, Italy, 11th - 12th century

Aperiodic Monotile

Super big news from this lot. (ArXiv)

A monotile that admits no periodic tilings, but uncountably many aperiodic tilings. WOW.

And they're calling it the Hat.

And Craig announced it with an animation!

Hexagonal paperclip storage boxes

@noisilyloudheart 

My triangle subdivisions

prime numbers higher than four are hard.  Hence why I skipped 11.

Tessellation: Chapter 40

Fandom: Mass Effect

Relationship(s): Original Asari Character | Thaia Kallistrate/Lexi T’Perro; Cora Harper/Janae (background)

Rating: M

Characters: Lexi T’Perro, Thaia Kallistrate, The Entire Tempest Crew, Lots of People from the Nexus, Also the Initiative People in General, And Some Outcasts, Everyone, Basically.

Tags: Alternate Universe - Canon Divergence, Mutual Pining, Not So Secret Crush, Best Friends, Friends to Lovers, Slow Burn, Angst, Angst and Humor, Hurt/Comfort, Longfic

Summary: After becoming fast best friends—if she’s sharing the jail cell with you, she’s your best friend—in the weeks before the Initiative’s departure from the Milky Way, Lexi and Thaia agree to resume their friendship in Andromeda. With Lexi assigned to the Hyperion and Thaia to the Nexus, they know it might be difficult to find each other again. Then everything goes to shit in the Heleus Cluster. In the mess the Initiative’s become and the mission to salvage it, they both have to recover who they were as they discover what they are.

Ark Paarchero, 2820. It was easy to forget—at least for Ryder—the sheer size of the Initiative’s arks. Without trams and elevators, it was a slow, unsettling slog through a ship sixteen football fields long containing two arkholds that were almost three football fields tall apiece. Plus each of those arkholds held thirty decks apiece. Ryder got tired just thinking about it. The dim standby lighting and the kett equipment scattered through the eerily empty corridors didn’t help it be less creepy, either. Another thing that didn’t help was the unease building up in her gut at not having heard from Thaia and Cora for the entire trip from arkhold to arkhold. Ryder and her team had finished their morning PT-like group run and drawn to a collective halt at the entrance to the cryobay containing the pods for Jeks Arlan and Vadim Escondar and still nothing. “We should’ve heard from Armali by now,” Ryder said as they walked through the doorway into the sterile, empty medical bay lit only by emergency lights. “What if they’re dead?” Drack shrugged. “Archon would’ve been bragging already. They’re fine.” “That doesn’t help me feel better.” “I dunno,” Peebee said, checking over equipment covered like it would have been during transit, labels and seals indicating an intact stasis state. “I think he has a pretty good point. Whenever the Archon gets one over on us, he doesn’t really keep it to himself.”

read the rest of Chapter 40 on AO3

Swallow tessellation, origami, my first original model!

Now with instructions here !!!!

Elegant revolver

Tessellation grenade launchers

Excited to share a teaser for one of the projects I’m working on for the @steddiebang ✨😁✨

Tessellation, by @maryofdoom / ArgentumCivitas (with art by sparkle-fiend) - coming later this fall

龍　　　/ grass_penpen　　　　龍文字格子の平面充填デザイン

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)

So the Heptagon says to the Pentagon

Loved this tiling seen on FB in the tiling and tessellation group, shared by Adrian Fisher. They're the Edinburgh Pavers, designed for use in this Darwin Maze at the Edinburgh Zoo.

Closer look in Adrian's image:

Play on GeoGebra.