#math visualization

[knotty-et-al]

Visualization of the Rubik's cube

[xponentialdesign]

On my 37th birthday, I made a tool to trace orbital paths Realized later the source file was gone But a mistake saved me from the loss I had imported it into another project by accident That one was archived and I found it today So I'll play with it a little bit more DIGITAL ARCHIVE

[colormush]

[hizerain]

2025.05.05

A mess of notebooks and papers. I've taken to organizing them in multiple piles across my floor. Somewhere slowly functionality over aesthetics has taken over life. My various fragile and beautiful fountain pens swapped for a sturdy indestructible rotring 600 ballpoint. Beautifully kept notebooks exchanged for loose sheets of paper flouncing around. To some extent, I do miss the enforced slowness of the other tools. At the same time, I've always had an aesthetic obsession which has often been suffocating. It has been nice to let go.

[demaparbat-hp]

The Painted Lady turned around slowly, deliberately, and stared right through each ghost present in the room. Then, she raised her hands in a graceful arc, pointed loosely at the ceiling, and chanted, “Well, off you go.” She made a shoo, go away gesture, the spirits disappeared, and—wait. The spirits disappeared.

Izumi comes back in For the Spirits Chapter VI: Dream of You. Zuko has a mild panic attack and her upbeat attitude does not help him (or does it?).

Just what is she up to? And what is the meaning behind the blue eyes from Zuko's dream?

[art-of-mathematics]

I know I have drawn this shape so often already, but the process of drawing it is so soothing.

And for that, I have drawn a kind of step-by-step guide how to draw that shape in the top of this drawing:

(from left to right: ) [sorry in advance if I make it sound more complicated than it actually is. If you want to draw it, I would advice you to focus more on these illustrations rather than on my gibberish-text.]

1. draw a 2-dimensional Cartesian plane - or, in other words: just draw a cross like depicted

1.1. mark 2 points on the y-axis/vertical line with same distance to the coordinate origin, then mark 2 points on the x-axis/horizontal line with the same distance to the coordinate origin. (The markings on the y-axis need to be farther away from the origin than the markings of the x-axis)

2. connect the 4 marked points like depicted above. This is a function plot of a tractrix. (it has two mirror symmetry axes. )

3. draw an ellipse and connect the two markings on the x-axis. This becomes a kind of "belt" for the pseudosphere (4th picture)

4. part the ellipse into whatever-amount-you-want of partings (like you would cut a cake) and slightly mark these.

5. now imagine you cut that shape horizontally on the outer surface. (In the 5th picture I depicted that with red-ish pen across the pseudosphere. ) -

6. then the cut shape needs to be "(shape) shifted". For that we use a set of marked points we did in step 4). Furtherly, we "cut" the ellipse open, and push one end of it to the top, and the other end to the bottom. (depicted in picture 6 )

7. Then we connect the rest to get that shape:

[vasira96]

the more time passes the more upset i am at the culmination of seasons 1 and 2 of arcane, like asdfghjkl what was even the point of any of the first season if that is how it all adds up????

[xx-psych0-rabbit-xx]

-> kirbtober day 2 - revenge

"like a cool corporate spy, dont you think?"

[red-osmanthus-stims]

hello! if it’s alright could I have a golfball (BFDI) stimboard?

golfball (bfdi) stimboard !

🔬 📋 🔬 🏐 ⛳️ 🏐 🧮 🩶 🧮 div 1 / div 2

[knotty-et-al]

Third Dedekind number illustration/visualization - WIP

[elation0]

A233380 vs A233381

[xponentialdesign]

45° GradiumPatternium DIGITAL ARCHIVE

[tremendouskoalachild]

how old can the Stranger conceivably be?

we don't know - and aren't supposed to know - at this point, possibly ever.

but with the recent-ish releases of The Visual Guide (reference book by Pablo Hidalgo) and Wayseeker (novel by Justina Ireland) we can narrow it down!

I: show-only extrapolation

the Stranger was Vernestra's student. at some point he left the Order in a way that made Vernestra assume him dead. he also has old scars matching Vernestra's signature weapon, suggesting a confrontation between the two.

Vernestra is pretty old. not only does she have a position of authority within the Order and with Republic leadership, we know she remembers middle-aged Sol as a shy youngling.

Osha came into the Jedi Order 16 years ago, and left 6 years ago, by the time of the show's present-day events. the Stranger very strongly suggests his departure was old news by the time she joined.

assuming he was at least a teenager when he left the jedi, and stretching Osha's unawareness of him to her not remembering the confusing drama around the time she joined as a little kid, he's at least in his 30s (with no real upper limit from the show itself).

II: taking into account the High Republic books

(i think the books can't be used to answer the show's mysteries, because the show is meant to stand on its own, both from a creative and economic standpoint; however, everything suggests the creative team is taking their lore into account and won't conflict with them.)

Vernestra is 16 years old at the start of the book series, which takes place 200 years before The Phantom Menace, and around 20-ish when they end (the exact chronology of the latest books and upcoming finale of the series is not firmly established yet).

the show doesn't clear up the exact year it's set in within its text ("one hundred years ago" referring to first THR book events in the flashbacks, "a hundred years before the rise of the Empire" in the opening text) but was described as set 100 years after the beginning of THR and 100 years before TPM prior to release. assuming very roughly a century since the books would make Vernestra around 116, let's say 100 to 125, during the show.

Vernestra's first Padawan, Imri Cantaros, reaches Knighthood around the time she is 19, towards the end of the book series (yes, the circumstances are special).

it isn't unheard of to take a student older than yourself (Grogu and all that), but we don't tend to see this scenario with human Padawans.

i'm gonna make this weird and say that with the THR books and show in mind it's conceivable the Stranger is around a hundred or even older. likely? fuck no. but the dark side is a pathway to many abilities some would consider unnatural.

III: incorporating Wayseeker

(the book was written after the season was done but before and while it aired, and on a pretty hectic schedule, by Justina Ireland - Vernestra's creator. it was also written before the show got cancelled. there are allusions to Vernestra's last apprentice but nothing specific, and the timeline is pretty wishy-washy.)

we learn that the Stranger was the final one in a series of Vernestra's Padawans as of the book's timeline (presumably going on into the show - Mog is notably not her Padawan). however, this doesn't really narrow the timeline down at all; we only know she had at least three (though probably more) students over the decades. how long one stays a Padawan is highly individual, especially in newer media, not to mention frequent examples of a master dying or otherwise leaving and another Jedi concluding the Padawan's training.

Vernestra had a falling out with a colleague around or slightly over a decade before the book, and had recently marked "another" anniversary of her last student's death at that point. that suggests he has been presumed dead for at least 12 years during the book's events.

we don't get any significant hints at how long ago this might have been beyond that - the characters who discuss the possibility of Vernestra taking on another Padawan referencing her tragic experience are fairly old themselves, and don't give us any more context.

Indara is 26 at the start of the novel, and the plot of the book takes place over several weeks. while the show itself doesn't give us Indara's age, i think it's reasonable to say she might be in her 50s during the present-day events (Carrie-Anne Moss' age during filming), and several years older than Sol. let's go with very roughly 20-35 years between Wayseeker and Indara's death in the show.

Vernestra's age in Wayseeker is not specified beyond "nearly a century" in her own internal narration. the events of the book series, during which she was a teen, are also described as (nearly) a century ago several times. since i trust Vernestra's knowledge of her age over the historical precision of several characters, i'll say the oldest she can be in the book is 99 years old.

it has been at least 3 decades since the Stranger's presumed death as of the show's timeline, likely closer to 4 or more. continuing the reasoning that he was at the very least a teen at that point, the youngest he could be in the show would be in his late 40s (this approximation already contains several edge-case assumptions, so i'd say it's highly unlikely, but we're keeping our options open). keeping Vernestra's age as the upper boundary, the oldest the Stranger can be during Wayseeker is in his 90s - adding the 2-3 decades to get to the show, he could be well over a hundred years old.

IV: considering The Visual Guide

(material for the book was collected during the show's production and airing, and many minor pieces of information were clearly decided after the fact. the book incorporates information from the Kelnacca comic and Wayseeker for character biographies. it specifically omits information that Lucasfilm doesn't wish to reveal yet - or ever - including the Stranger's age, which is listed as "unknown".)

Indara's character page includes a timeline of her life, giving us a concrete way to anchor Wayseeker to the show: she was 26 during the book and 54 in the show's premiere. the book therefore takes place 28 years before the show's present-day events.

Kelnacca's page has a similar timeline of the last century of his life, giving us a way to relate show events to THR's chronology. we know he was 149 years old when assisting in the Starlight Beacon recovery mission (which occurred at the end of THR Phase I, around 2 years after the books start; Vernestra would be around 18 at that time, and it would be over a year later that she reconnected with her missing Padawan Imri and knighted him). Kelnacca was 248 at the time of his death in the show, and 231 during the Brendok mission (seemingly dating the show flashbacks 17 years earlier, though this is perfectly fine - the mission took months, and we don't know when his birthday is). the show is therefore set around 99 years after the Starlight Beacon's fall (which would also put it 99 years before TPM).

since some 28 years passed between Vernestra's Padawan being at minimum 12 years gone and the show, the Stranger could be at the very least in his late fifties, likely older. Vernestra is around 117 years old in the show, and there doesn't seem to be anything directly conflicting with the Stranger also being over 100, though it would be very unusual.

[colormush]

[logicalintuition]

Shuriken ver. 1

[bensboards]

Hello, could you make a graham burns stimboard please? (If not it's ok)

Graham Burns [RB] Themed Stimboard 👓 ๋࣭⭑ with engineering / math / tech themes and green colored gifs

💾|👓|💾 📝| ★ |📝 💾|👓|💾 ★: divider center gif made by me :3 source: transformers rescue bots season 3 episode 7 graham is my favorite of the burns family :D