I’m back! It’s been a while since I’ve been on this site because I’ve found myself under some financial trouble and I’ve been stressed BUT I wanted to take this opportunity to talk about something I love dearly: dihedral groups!
Consider the symmetries of a square:
We can see that there are 4 reflections and 3 rotations, as well as the act of doing nothing at all. Together, we have 8 total symmetries, and in fact, these are all of the possible symmetries. What this means is that if we do one of these symmetric moves and then do another one, we will have not changed the square, and therefore doing these two moves is the same as doing just one of the 8 symmetries on its own. For example, doing a 90 degree rotation followed by a 180 degree rotation is the same as doing a 270 degree rotation. Also, doing a 90 degree rotation followed by a reflection across the vertical axis is the same as doing a reflection across a diagonal axis.
So in other words, we can define a function that takes two symmetries of a square as input and which outputs another symmetry. Since standard multiplication is a function taking two numbers and outputting another number, it makes sense to borrow the notation of multiplication for this function. Our symmetry function satisfies a few useful properties:
- Closure: As explained above, for any two symmetries, the function will spit out another symmetry
- Identity: There is a symmetry (namely, the “do nothing” symmetry) such that when it is input into the function with another symmetry, the function will always simply output the other symmetry
- Associativity: For any symmetries a, b, and c, (ab)c = a(bc)
- Inverses: For every symmetry, there is a symmetry that undoes it. For example, rotating a square by 270 degrees undoes rotating it by 90 degrees, and doing a reflection a second time after doing it once undoes the first reflection
These 4 properties are so important that any set of objects with a function defined on it that satisfies all of these properties has a special name: they’re called groups and they’re really freaking awesome. The symmetries of a square as a group is called D~8~, since there are 8 total symmetries. Sometimes you might see it called D~4~, since squares have 4 sides, but I think this convention is a bit silly. In the same way, D~6~ is the symmetries of an equilateral triangle, D~10~ is the symmetries of a regular pentagon, and so forth. In general, D~2n~ is the symmetries of a regular n-gon.
Now, one interesting thing is that groups can contain each other. For example, consider an octagon. Since there are squares hidden within the points of octagons, if we pick a square we can see that all of the symmetries of that square are present in the symmetries of of the octagon, so it is possible to throw out all of the other symmetries. What we would be left with is just the symmetries of a square. What this means is that D~8~ is contained in D~16~. You can play similar games to show that there are lots of groups contained inside the dihedral groups.
The last thing I want to talk about regarding these things are their subgroup lattices. Oftentimes mathematicians want to picture the internal structure of a group. One of the ways they might do this is by writing down all of the subgroups of a group they’re studying onto a piece of paper, and then connecting any two with a line if one of them is a subgroup of the other that doesn’t have a subgroup between them. The resulting picture is called a subgroup lattice, and I’ve left some dihedral group lattices below because I think they’re pretty.
two cute dihedral subgroup lattices holding hands and cuddling
Anyway this has been gushposting with your host, yewler. Maybe next mega I might talk about more specific details that make these things cool.
Now you may commence in the posting
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Hey folks, hoping to have a semi-permanent thread for compiling resources to make finding really cool posts easier. Please suggest links and info in the comments below. I consider this necessary because there's a lot of things we would like pinned but obviously things get very crowded quickly. This thread will start sparse and I will edit new things in as people suggest them.
Transgender Mutual Aid
These posts are done by a transgender mutual aid group looking to help people in unusual circumstances. Please contact me if you need help with HRT info, their posts here are for donors only.
Trans Chemist Series
These posts are done by a Hexbear user that I have verified as legit, offering unique information about trans DIY hrt, including quality sources, sanitation, storage recommendations. Verified by very expensive industrial chemistry equipment.
DIY Electrolysis Series
There posts are also done by a Hexbear user that is making an open source DIY electrolysis setup.
Elara's Transonomicon
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https://trans.queer.my.id/ id change stuff
PSAs
Site Surveys
Guides
Links
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https://genderdysphoria.fyi/ (this link has allegedly been problematic deep into the past, but seems to have cleaned up a lot)
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/r/transdiy wiki archive : https://archive.md/gDgj1
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/r/transwiki wiki archive : https://archive.md/OzyAk
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trans australia : https://trans.au/
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haircuts for trans people : https://strandsfortrans.org/
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.Do It Yourself - Hormone Replacement Therapy - Very Basic Information Thread on DIY HRT. https://hexbear.net/post/8763710, guide to using Monero, a private cryptocurrency
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https://hrtcafe.net/ - DIY sources
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how do I determine my dosage / how do I take estrogen safely? http://transfemscience.org/
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https://transfemme.style/ clothing for trans fems
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https://estrannai.se/ - estradiol simulator with a wide range of features
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https://diyhrt.info/ - informational wiki on DIY HRT with transmasc and transfem guides; a successor to diyhrt.wiki
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https://diyhrt.market/ a compendium of HRT vendors, similar to hrtcafe
Webrings and Friends
Public Chats
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https://matrix.to/#/#tracha:chapo.chat - Our public group chat, text only. Has fun emojis
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https://www.transacademy.org/ - Trans Academy is a VRChat group that provides help/community for trans people. Among other things, they do free bi-weekly voice training seminars (in VRChat but also streamed on Discord and Twitch) and make-up tutorials (on Discord), and the classes include content for transmasc, enby, transfem peeps. VRChat is free and doesn't require VR (using the desktop or android app), but you can also participate in most of the class stuff through the Discord.
cross-posted from: https://hexbear.net/post/5072905
Our lives and the lives of my child Karim depend on this link. Without donations, we cannot buy the necessities of a very difficult life. Please, please do not leave us. You are the hope after we lost everything we built in Gaza. Everything has been destroyed. 🙏🥺 https://gofund.me/a1174ab9
Comrades, I don’t know how to begin. Things have become incredibly heavy and frightening for me and my trans sisters here in South Sudan.
On May 23rd, the host community in Gorom Camp began pushing hard for our removal. We've faced constant hostility as trans refugees called devils, told we go against their culture but now it’s escalated. When conflict erupted in the area, they warned the UNHCR that they would "take matters into their own hands." That threat has now turned into action.
UNHCR and government officials recently held a general meeting and told us not to return to the camp “before anything worse happens.” Those still hiding in the camp were given only 10 days to leave, and they were clear: transgender people like me would be the first targets We were once attacked at our shelter . No one was held accountable. That was when we fled to Juba, seeking safety. But Juba is unaffordable. We’ve been surviving at a local church, barely getting by and now even thinking of going back to the camp seemed like an option… until this.
I’m tired. I’m scared. I’m doing my best to stay strong for my sisters, but it’s hard. We’re being forced out again with nowhere to go. I’m sharing this because I believe in solidarity. I believe someone out there will care.
Please share our story. Please speak our names. If you can offer support, even just by amplifying our voices, it means everything.
In love and struggle, Ate Onandrah (A proud trans woman and refugee living with HIV, resisting with dignity)
Made this one somewhat last minute, but here goes- my reccomendations for this week are a yuri "mystery" VN that's near and dear to my heart (that goes into processing grief) though it's been a while since I last played it, and a cute and sloppy (not bad sloppy) manga about crossdressing (and if you ask me is honestly at least kinda genderfuckery).
I figured I'd also add BonnieBugsy's "Ranma Lazuli" fanfic series (available on Ao3) to make it a triple feature because why the hell not. The two fics I can recommend (not having completed the other large fic yet though I'm sure it would deserve equal recommendation) are pretty near and dear to me as well.
CONTENT WARNINGS
SeaBed: processing grief
Handsome Girl and Crossdressing Boy: some chapters, particularly the extras, can be particularly suggestive/R18+
Ranma Lazuli: for the two fanfics specifically I'm discussing, "Skies of Blue, Red Roses Too" covers dysphoria and abusive family circumstances, with the premise of the titular Ranma escaping these and finding a place where she can be and grow into herself. "I of the Storm," in contrast, deals with the abusive and unhealthy dynamics of that "place where nothing ever gets better" from the perspective of someone still living within it- Akane- who herself, also has to deal with her anger and the consequences of (being a victim, but also perpetrator of) abuse, apathy, and past mistakes, while moving past that environment herself.
Premise and things I liked about (SeaBed)
Sachiko and Takako were childhood friends and lovers, but unknown circumstances tore them apart. Now they have to piece together the puzzle, as Sachiko keeps hallucinating about Takako, and Takako deals with memory issues of her own.
Personally, Seabed can come across as a bit of a slog (but in a good way- and in a way appropriate to the themes of grief, of mental processing and memory issues, etc). And it can be very heavy. I played it during a time when I was dealing with grief among other things myself and I loved it- I intend to play it again someday (ideally soon), but needless to say it won't be for everyone.
Premise and things I liked about (Handsome Girl and Crossdressing Boy)
Admittedly, this is just comfy, queer (IMO), somewhat suggestive (YMMV, if it were just up to me I'd not even consider it NSFW but it's definitely toeing a line and considering cultural and even circumstantial differences of different online spaces- well yea) and sappy light-hearted romance. Iori is a crossdressing boy(? very eggy if you ask me), and Hazuki is a handsome girl. Needless to say gender is a fuck.
The extra chapters (generally noticeable as something like "chapter 23.5" instead of being an outright "chapter 23" for instance) can be even moreso questionably/maybe "NSFW/18+" (though if you ask me that's all "western puritanism and backwardness/regressiveness" which they then infected many other parts of the world with)
Premise and things I liked about (BonnieBugsy's 'Ranma Lazuli' fanfic series)
The two "Ranma Lazuli" fics I can recommend (the others I either haven't read yet or are very short) are both what I would describe as "coming of age/graduation(?)" plots, wherein Ranma moves from her abusive, overwhelming, demanding upbringing to the welcoming and progressive Beach City from Steven Universe (no knowledge of either series is necessary IMO to enjoy these fics, that said) and is finally able to develop within such a healthier environment, and Akane comes to terms with and breaks free of the fallout and that unhealthy environment in her own way, in her own separate life.
Both fics, I feel, correlate with my own defining experiences on many levels- whether it be Ranma's growth and the liberating feeling of finding a positive, comfy space and escaping the small, shitty, abusive world she was raised in prior, or in Akane's own growth and rejection of that same small world, as well as the permanence of one's actions having come from and having been a part of what made that world so small and unhealthy to begin with, and growing past that and coming to terms with it.
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Also, be sure to properly give content warnings and put sensitive subjects behind proper spoiler tags. It's for the mental health of not just your comrades, but yourself as well.
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Hair is being a problem for me. Facial hair, I don't like shaving (painful) (bloody). Not shaving it also sucks (prickly little growths) (spiky). Trimming isn't really sufficient.
Also, chest hair is being an issue. I don't want to try to shave it (that would be another level of hell). Trimming also leaves behind spiky hair that stings.
Hair growth on my head is going nicely. I like it. Then I think about how I will need to go to my parents during the summer and I don't want them to know about my situation so I am going to have to keep my hair relatively short 
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I've also started thinking that I should lower the dose of my hormones to slow down feminization. At this rate, I won't be able to hide my chest growths even with a breast binder. My parents want me to be over for basically the entire summer and I don't have a good excuse to not go. How am I to live with them in the same house while still hiding my feminization? 
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Hi! I've been extremely tired this week and nearly forgot that I was hosting one so I'm writing this last minute! I couldn't think of anything so I'm going to write about one of my hamsters who is not Biggs; Meredith
Meredith was another hamster of mine from a few years ago during the early days of COVID, and she was the absolute sweetest little creature I had ever met. Very friendly, very gentle. She loved exploring anywhere I put her into and never bit me ~~okay she did once ever~~. She was an absolute sweetheart and bundle of love and was with me during some of the rougher parts of my life
She unfortunately died very suddenly out of the blue one day at a terribly young age showing no symptoms of anything wrong with her prior, which breaks my heart to this very day
I never had her as long as any other hamster of mine but I don't think I had any other hamster touch my heart in quite the same way. I miss you, girl
Join our public Matrix server!
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As a reminder, please do not discuss current struggle sessions in the mega. We want this to be a little oasis for all of us and the best way to do that is not to feed into existing conflict on the site.
Also, be sure to properly give content warnings and put sensitive subjects behind proper spoiler tags. It's for the mental health of not just your comrades, but yourself as well.
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Heya Everyone, new Mega time and for it, I'm gonna advertise a TTRPG system called Thirsty Sword Lesbians.
A sword duel can end in kissing, a witch can gain her power by helping others find love, and an entire campaign can be built around wandering matchmakers flying from system to system.
Thirsty Sword Lesbians is a roleplaying game for telling queer stories with friends. If you love angsty disaster lesbians with swords, you have come to the right place.
In this book, you’ll find:
Flirting, sword-fighting, and zingers in a system designed for both narrative drama and player safety.
An innovative take on the Powered by the Apocalypse family of games.
Nine character types, each focusing on a particular emotional conflict: Beast, Chosen, Devoted, Infamous, Nature Witch, Scoundrel, Seeker, Spooky Witch, and Trickster.
Guidance and support for running the game, including how to make appealing adversaries, set the tone, pace the game, and structure play.
Tools to create your own settings and stories, alongside a dozen pre-written options including the cyberpunk Neon City 2099, steamfunk poets battling oppression as Les Violettes Dangereuses, laser swords and intrigue in the Starcross Galaxy, and more.
World building worksheet for custom scenarios and starting scenario seeds to play with: Best Day of Their Lives, The Constellation Festival, Gal Paladins, and Sword Lesbians of the Three Houses Variant rules to highlight different identities, emotional connections, and setting elements.
Strategies to adapt any setting where swords cross and hearts race for Thirsty Sword Lesbians.
Here's a link to their website, I did copy everything over directly from it because I put off writing the Mega this week. I was drawing a blank on what I wanted to talk about. 
https://evilhat.com/product/thirsty-sword-lesbians/
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Join our public Matrix server!
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As a reminder, please do not discuss current struggle sessions in the mega. We want this to be a little oasis for all of us and the best way to do that is not to feed into existing conflict on the site.
Also, be sure to properly give content warnings and put sensitive subjects behind proper spoiler tags. It's for the mental health of not just your comrades, but yourself as well.
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snake post
I'd like to talk about one of my favorite ball python morphs, the banana gene. It is an incomplete dominant trait first produced by NERD in 2003. Incomplete dominant means an animal only needs one copy of the gene for it to express itself, however a "super" (homozygous) form exists when both parents pass the gene on to their offspring.
An adult and baby banana ball python. As you can see, they are bright yellow with black spots as adults, looking very much like a banana. They have white bellies. This is a different gene from albinism, and they have normal eyes. Here's a wild type for comparison:
One thing that is very unique to the banana gene is it is sex linked (the only ball python morph that does this, not sure about other animals). Female bananas will produce equal split of male and female, banana and wild type. However in males, it is linked to how the sire inherited the gene. If he inherited it from his father's side, he is a "male maker" and almost all of the bananas he produces will be male. The sex split and morph split are the same (50/50), but almost all the males will have the gene and almost all the females will be wild type. Same if he inherited the gene from his mother, just reversed (this is a "female maker"). A common myth/misunderstanding is that this holds true all the time, it does not. A male maker can still produce female banana ball pythons, and male wild types. Same for female makers, in the other direction. Roughly 3% of snakes produced from male bananas will be one of these instead of the "expected" outcome.
These are both super bananas if you wanted to see what they look like ^^
Join our public Matrix server!
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As a reminder, please do not discuss current struggle sessions in the mega. We want this to be a little oasis for all of us and the best way to do that is not to feed into existing conflict on the site.
Also, be sure to properly give content warnings and put sensitive subjects behind proper spoiler tags. It's for the mental health of not just your comrades, but yourself as well.
Here is a screenshot of where to find the spoiler button.
traaaaaaannnnnnnnnns
Welcome to /c/traaaaaaannnnnnnnnns, an anti-capitalist meme community for transgender and gender diverse people.
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Please follow the Hexbear Code of Conduct
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Selfies are not permitted for the personal safety of users.
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No personal identifying information may be posted or commented.
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Stay on topic (trans/gender stuff).
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Bring a trans friend!
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Any image post that gets 200 upvotes with "banner" or "rule 6" in the title becomes the new banner.
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Posts about dysphoria/trauma/transphobia should be NSFW tagged for community health purposes.
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When made outside of NSFW tagged posts, comments about dysphoria/traumatic/transphobic material should be spoiler tagged.
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Arguing in favor of transmedicalism is unacceptable. This is an inclusive and intersectional community.
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While this is mostly a meme community, we allow most trans related posts as we grow the trans community on the fediverse.
If you need your neopronouns added to the list, please contact the site admins.
Remember to report rulebreaking posts, don't assume someone else has already done it!
Matrix Group Chat:
Suggested Matrix Client: Cinny
https://rentry.co/tracha (Includes rules and invite link)
WEBRINGS:
🏳️⚧️ Transmasculine Pride Ring 🏳️⚧️
⬅️ Left 🏳️⚧️🏳️🌈 Be Crime Do Gay Webring 🏳️⚧️🏳️🌈 Right ➡️
