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so who is playin deltarune? i finished it through chapter 4 and now i'm gonna get both types of run in the can so i can pretend i'm not back to waiting a year for the next part. how bout those new secret bosses? how bout that damn

spoilerroaring knight?

it's nice to have parts of this game be as hard as sands undertale.

also, susie is my favorite, she's precious, everyone drop your favorite susie moments in the comments


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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.

spoiler


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submitted 10 months ago* (last edited 5 months ago) by [email protected] to c/[email protected]

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


PSAs


Site Surveys


Guides


Links


Webrings and Friends


Public Chats

  • https://matrix.to/#/#tracha:chapo.chat - Our public group chat, text only. Has fun emojis bridget-vibe

  • 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.

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the four genders (hexbear.net)
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Easter egg theme (lemmygrad.ml)
submitted 2 days ago by [email protected] to c/[email protected]

en.prolewiki.org find it

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This is like, the weirdest thing ever imo. I feel more girlish when warm and more boyish when cold. The only similar thing I can think of is how some marine animals' eggs change their gender when exposed to different temperatures.

Initially when taking hormones, I called myself non-binary precisely because of this, although I changed my pronouns to she/her afterwards because I thought I "wasn't committing" (no shade to enbies or gender fluid folk, this was purely about my own anxieties). But even after my anxiety has calmed down greatly, I still feel the same phenomena. I think it might be linked to stress (I'm very stressed right now), but the pattern I have noticed over like, 12 weeks now, really stands out to me.

I hope I'm severely misinterpreting something, because I don't want to be dissected by scientists trying to figure out whatever new X-men mutant powers I am developing.

Does anybody have even slightly similar experiences? Am I actually just NB or gender fluid (I think I might be)?

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Down With Cis (hexbear.net)
submitted 5 days ago by [email protected] to c/[email protected]

Silly ideas in my silly mind

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submitted 1 week ago* (last edited 6 days ago) by [email protected] to c/[email protected]

So I have a coworker who is half Hawaiian and half Native American and we were talking about things they'll call white people over there and he just says "we'll sometimes call them "Māhū", don't look it up cause it's a slur."

And of course I looked it up and I'm just like ??? It's just the Hawaiian third gender? Everything about the term seems cool to me. Like, there's alot of cultural significance behind the word, in the past Māhū were held in very high esteem and had an important role in their culture and it only started getting used in a derogatory way because of western influence. He said it's like calling someone the F slur in Hawaii. So I challenged why he thinks of it as a slur and he got pretty uncomfortable with the conversation. I asked him if it's a slur than what's the "socially acceptable" Hawaiian term for trans folk there and he had no idea. Probably because bad actors have done their best to make the very existence of trans people socially unacceptable.

It's just a case of transphobia mixed with colonization. Westerners have made them uncomfortable with the idea of a nonbinary gender system, and tried to erase the existence of other genders in every culture they come across. It's just the equivalent of being called gay: something only straight cis people or internalized homo/transphobic people would take issue with. I think a step towards decolonizing their culture would be reclaiming the term and refusing to see it as a slur, and after doing some digging it does look like there's efforts to reclaim it as part of their cultural identity.

If there's any Native Hawaiians here who can provide more input and context here it would be appreciated.

Edit: Gonna repost this gender map I included in a Mega post I made ages ago:

https://www.google.com/maps/d/u/0/viewer?ll=8.016975588774075%2C64.4248907814756&z=2&mid=1zDWxhBN5aOofwpE-FkZWQsiFDlE

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neat tattoo (hexbear.net)
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BIG News (hexbear.net)
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Sir Ian McKellen (known as Gandalf) will open a historic production of Twelfth Night, featuring an all-trans and non-binary cast.

The one-night-only rehearsed reading, staged by the theatre group Trans What You Will, will take place at The Space Theatre in London on July 25, 2025, and will be livestreamed globally. All profits will go to the UK-based trans charity Not A Phase.

The production reimagines Shakespeare’s gender-fluid classic through a trans lens, emphasizing themes of mistaken identity, cross-dressing, and shifting gender roles.

Director Phoebe Kemp describes the reading as an act of joy, solidarity, and protest, celebrating trans and non-binary artists at a time when trans representation is under threat.

‘Twelfth Night already toys with gender and performance—it feels like Shakespeare wrote it for us,’ they tell Metro.

The event is scheduled ahead of London Trans+ Pride.

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And so, the time came to finally write my tranniversary mega. I had scheduled MONTHS in advance, in anticipation of making a post celebrating a year of being out as a trans person, celebrating the onset of Pride Month (which should be every month but June is also peak egg cracking season trans-hatch), and going over all of the major things that have happened in the past year. I go to write it a few days before, which says a lot, and… I don’t know what to say. A lot of things ended up happening that make this a different kind of post? I haven’t really been on this bear site in a bit, my mental health took a really horrible turn, I had been burning out for months, and to be honest I’m still recovering. The semester is finally over, and I’m still somewhat volatile, especially in terms of my anxiety. Like, existentially bad. There were also aspects of the site that compounded on issues I was having, and the enjoyment was vanishing, so I decided to take my leave. I did end up staying in tracha by the way, highly recommend joining if you haven’t already. Element has many wonderful tools to help with the anxiety that could come with a chatroom, and I know anxiety quite well 😅. Notifications are easy to disable, or enable if need be, I still get DM notifications. Was also able to turn off my read receipts, which was a huge cause of anxiety for me, it takes a lot less energy to lurk, and now I don’t feel a lingering obligation to say something. I’m getting sidetracked at this point, I don’t want to make the intro longer than the rest of the post, so let’s just get into it.

Part 1: Her/Kit's TranniversaryThis place, this site, certainly helped to crack my egg. It’s what got me to create an account in the first place. I had lurked for a bit, maybe a while, on and off. The kind of thing where I wasn’t in the community, but was still looking at memes and news. Starting to notice the community is when I noticed the quantity of trans people on the site, which was of course very cool. It still is. And hearing others speak of their experiences had me intrigued, in the way that trans-related things did, in the way that it all made me feel uncomfortable at the same time. I felt bad about this, despite knowing it wasn’t from a place of fear or hatred of others, but myself. Seeing people existing in that way, talking about their experiences, making internet posts and memes, made me start thinking about myself, and what I wanted, and that traditionally (and even today) doesn’t go well for me. Defense mechanisms kicked in hard, and so I continued drifting and not knowing why, always getting that funny feeling when those topics came up. It was the constant reminder that this site gave me that got me to start thinking, and many people talked about their feelings, their transitions, their experiences (again, yea this is a big one). They sounded so happy, and I wanted to be happy like that, but that did that mean? Was I really trans? And boom, that’s where the trans mega comes in. Taking in more and more, relating to more and more experiences, hearing people talk about HRT, and my egg was on its way out. At first I felt foreign, like a stalker. I didn’t feel real, I didn’t belong, but at the same time, I wanted this more and more. There were surely negative experiences talked about, but the rose-tinted glasses were on, and I saw what I needed to see. As such I created an account, to get to be apart of the community, yes, but also to start asking questions, start talking to people. I created an account, and in still half in hiding half in denial, I made my PFP an anime girl and I used they/them pronouns “for opsec”. The account is long gone, but she/her pronouns were added pretty quickly, then removed for a bit I think, and then added again. I never stopped using them after that (note: gender kind of messed me up for a while, I ran “any” for a bit). From there it was the Luna account, and then, well, me.

What if HRT could improve my voice? Save my hair? I started asking myself many things that started as soon as I heard that HRT was more than just for feels. I didn’t even have a strong grasp of what it was, let alone what it did. I started researching, spending a lot of time researching, not just HRT but trans feelings, experiences, things I would have never said I felt but buried inside? Always there. I excel at burying my thoughts and feelings, so it really was just one more thing. Still working on this today, for what it’s worth, but I like to think I’ve made major progress at this point. Anyways, eventually HRT became the kind of thing where every change sounded good, except for one. The big one. Or should I say big ones? As much as the body could be changed, and made to more of my liking, once these grew in, they’d never leave. That’s right. Boobs. I had major anxiety over them, didn’t know if I wanted them, even. At the time I was still thinking I would be more nonbinary, femboy adjacent maybe. What if I don’t like them? I don’t think I would, and I want to be able to make that choice, have more control over it. So I looked in to SERMs, and after seeing the side effects I decided against it. Not for a lack of looking into it, but there really isn’t a lot of research on them, and so I decided if I was going to start HRT I was going to have to go “all in”. A bit of a time skip, but a few weeks into starting HRT, I was lying on my chest and it felt sore, hurt decently bad. Wondered if it was my shitty lungs again, but it hurt more than straining to breathe. In two areas, to be specific. To this day it was a huge euphoria hit, and from that moment I’ve wanted them as big as I can get them. I say “prog save me” on the regular, and in a more present note, I’m hoping to start in a few days!!!

It was after confirming I wanted HRT, and also had dysphoria, that I admitted to myself that I was trans. I still felt fake, not real, lesser than, and was still figuring out how exactly I was trans, but I was there for sure. A few weeks later, and I started journaling, at first just gender thoughts, but expanding to my whole life. I’ve been doing so for a year as of May 19th, which also means we’re moving fast from here. I didn’t think I would though, the entire point of the journal was to put my thoughts somewhere, because I planned to hide until I changed my living situation. Safe to say the plan was to wait a while, as I planned on remaining in that situation until I completed my education. Luckily, this didn’t last. My mom started catching on too quickly, in other words, I failed to hide it well. I couldn’t at this point, I had to try everything. Getting cuter shoes when I needed shoes again, shaving more often, shaving my legs. It is a huge autism moment, but when she told me about HRT like I didn’t know anything, I went into an infodump about HRT and SERMs. Yep, I’m trans, ma. I had a feeling at least she would be accepting, for the most part. This was 6 days into the journal lol, no time at all. And on this day one year ago, I would come out to the rest of my immediate family, who all took it quite well. It’s pretty great, they love me lots, although my one gripe is when they try to explain gender or sexuality to me. Is there a word for this kind of “mansplaining”, because I need it.

The speed of which I would go about things increased. I had an appointment for informed consent HRT scheduled just two days later, and a little less than a week after that I was on HRT. From there it’s just been my activity on this site. Learning more, talking to so many nice people, and getting to know some amazing people. Spending a lot of time on the gender carousel, hopping off, getting back on, hopping off (it was a wild ride, although I lied when I said it was fun it hurt like hell). Changing genders like I had to change batteries, questioning my sexuality to an obsessive degree (well I did for gender too). Making memes, shitposting, talking life, and many, many vents. It’s been, despite all the turmoil that came with it, my self-ravaging crises, and all of the pain, one of the best years of my life. There was pain, but there were so many happy moments as well, wonderful moments I hadn’t had anything like in such a long long time. Rather than just having horrible depression, I now have significantly less depression, so much less hopelessness, and a much better grasp of control of my own life (although, still working on that too). My anxiety has gotten a whole lot worse, but that’s because I have something to lose, so many somethings. I fear so much, let so much eat away at me, because I actually care now. I want to know who I am, I want to know what I want, and I want to get to know people, live life, leave my little bubble that I’ve been stuck in for as long as I can remember. I’ve made a prison for myself, and I’ve not even worked my way out yet, but the bars have come down. I’m no longer in the cell, and that is a wonderful thing. I care for people so much more now just as a product of caring more about things now. I already cared a lot about people and life as a concept, it’s what radicalized me, but caring for everything else managed to boost that even more. For the people I care about, I care so much. I fear losing them, so much. I probably don’t have much reason to worry, but since when has anxiety been one for reason? Don’t worry, I’m working on it :>

What else to say? Not sure, to be honest. Life moves on, transition keeps going, and I hope my second year is even better than my first! Meeting trans people has been wonderful. Not in real life, community is dead where I live, trust me, I’ve tried, but people on the mega and tracha! You’ve all talked to me in various degrees, but it’s been wonderful talking to all of you. Thanks for reinforcing the fact that trans people do, in fact exist, in a world where I can count the number of trans people I have seen and know offline to varying degrees on my fingers. Going to hope that I can find some stuff to attend and some people to meet this pride month. I only hope to whatever higher power may or may not exist that their sole method of communication is not fucking discord (or instagram, snapchat, etc. for that matter, but I know people fucking love discord and I hate it with a passion. You may say this isn’t relevant, to which I will say, fuck discord.

Part 2: Monster HunterSo you’re probably wondering what in the world the thumbnail is. Let your eyes be blessed by such a holy sight. You witness the Switch Axe, arguably the best weapon in indie studio Capcom’s only hit (and a mediocre one at best), Monster Hunter World. Want to be an axe lesbian AND a sword lesbian? Want to find genderfluid representation in an inanimate object? Just otherwise hate making choices? Just use Switch Axe, it’s both an axe and a sword!!!

I mean, the insect glaive is also pretty nice, and I do like a lot of the weapons, bit aside. As of late, I’ve put Fire Emblem down in exchange for Xenoblade X and the topic of this part of the post, Monster Hunter. Yes, me, the person who has made multiple megathread posts on Fire Emblem has not touched it in months. I am thinking of running an Enbarr Edition (woke mod) playthrough of Crimson Flower though, so I might be back on FE soon, but for now we’re talking Monster Hunter. Oh, and I’m not getting technical. I do not know much about this game, I just know that it’s fun and I want to share some of why that is! I’m not an expert, I could be wrong on some technical things, and yes I am a poser and started with Rise and World… a couple months after Wilds came out. Truly ahead of the curve.

Monster Hunter is an action RPG developed by... you know what, no. Monster Hunter is a fun game where you hunt big monsters. There are many weapons to choose from, the best of which are Insect Glaive and Switch Axe, sorry to the one Gunlance fan lol I feel bad (/j, all weapons are good) and they all play so differently that changing weapons is such a fresh experience every time. Each weapon has so much to it, so many layers, that many players pick one and stick with it like they’re picking a main in a hero shooter. That’s not even mentioning the monsters. I’ve still barely learned what they all do, because they all feel so different. I know what to expect with some of them, but went and fought some I haven’t done in a while and I’m getting my ass kicked, which is of course the authentic Monster Hunter experience.

Character customization (and feline/canine customization!) is very fun, I had a good amount of hours in the character creators alone. So much to choose from, and there wasn’t free changing at the time (mods my beloved) so I really wanted to make it count. Made designs I liked and then stuck with them, haven’t really changed much. Same with XCX, even with the option to change, and hating having to make a permanent decision, I grow attached to my characters, and then it looks weird when they look different. Although, I did turn them into foxgirls, because they are avatar characters and should be reflexive of the player. Inhales... eepawoo!

So many armors to choose from too! I’ll touch modding here as well, but I unlocked all of the cosmetic armors and it’s such fun dressing my character up! Right now, my character in world is running white hair and a pretty nice black coat, it’s giving more edgy, but I like it (also color matching for anything other than white is tough with the fox stuff on world, so sad). On Rise, I have more of a red theme going on, and although nothing is consistent, running full Mizutsune gear is what I’m doing now, and it’s quite fun! Yeah, that too, a lot if not all of the monsters have their own armor sets, as well as their own cosmetic armor sets, and some have multiple! Customizing to your hearts content is key to the authentic Monster Hunter experience. I’ve also added many other mods, mostly QoL but also some fun stuff. None of it is really game-breaking, but I could if I want to, and that’s powerful, but it’s also nice to be able to tweak the game to however I want to enjoy it!

They also look soooooo good. Rise has it’s charm, especially considering it was made for the Nintendo Switch, but World, oh my gosh. Extremely good looking game. Between that and Xenoblade X I have been spoiled for visuals as of late. So atmospheric and immersive, and the environments are so dynamic, and World captures ecosystems so well. Maps are vast, have variety, have verticality, and even just walking around and exploring is such a treat. The fact that monsters can interact with the environment as well, from breakable objects to nests, is just absolutely wonderful.

There’s a whole lot more I could say, or I couldn’t, I can’t put it into words. Very fun experience, very fun playing with others (not randos I have social anxiety even online), and I got World and the DLC for like 16 USD so that was a huge win. So what are you waiting for? Go play Monster Hunter! Can’t play online for free, but getting it cheaper is a hell of a deal. I bring Xenoblade X up here as well, but these games are solidifying themselves in my top rankings, to be honest. Monster Hunter is a blast and I’ve gotten completely sucked in, and I do intend to play and finish Xenoblade X. It’s quite nice playing all of these new and amazing games :>

And that’s where I’ll leave all of you. I’ll interact with the mega this week, but then, I’m gone. I don’t think I’ll delete this account like I said, but I already unmodded from most places and am logging off. Maybe I’ll come back one day. Maybe I won’t. If I did, I’d happily step up and mod both this comm and the disabled comm again. We have plenty here, but I feel genuinely bad about leaving the disabled comm, and well, I hope that in the event I returned you’d all be happy to have me. Honestly if I had a way to isolate the two comms and be in them, I would o7. Not to shill tracha again, but that’s kind of what it is to me. Everyone I talk to on matrix (which is like one person consistently but brain please shush) is from tracha, and it really is a nice space, albeit one with varying degrees of activity but I’m not the one to complain, and so I'm not. Life is tough, energy is low, and I feel exactly the same way. I guess I keep bringing tracha up to drive home the fact that I’m not dropping off the face of the Earth. I’m still here, not cutting myself off and isolating myself, just trying to get a better hold of my anxieties and other mental stuff and my self. The various batteries of life drain fast, but I’ll keep going. I know many feel those drains too, but just keep going and take any time you may need!

Live as yourselves, strive to grow, stay curious, take that extra step for yourselves, and care for not just the other people in your lives, but yourselves as well. We deserve to live, and we deserve to be here, as ourselves, no matter what others might think or say or do.

May you all have a great week, and HAPPY PRIDE MONTH LET’S GO!!! trans-ferret

celebratory measuresbridget-vibe dancing-roach niko-dance lea-caramelldansen reisen-dance kris-dance susie-dance ralsei-dance snom torture-dance dubois-dance kitsuragi-dance


Join our public Matrix server!

https://matrix.to/#/#tracha-space:matrix.org

https://rentry.co/tracha#tracha-rooms


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.

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SALT LAKE CITY — When Utah Republicans passed a ban on gender-affirming health care for children and teens in 2023, they argued it was needed to protect vulnerable kids from treatments that could cause long-term harm.

Years later, the results of a study commissioned under the same law contradict that claim, and the Republican-led Legislature is facing pressure to reconsider the restrictions.

Utah's Department of Health and Human Services and experts from the state's leading health organizations concluded from a study of thousands of transgender people that gender-affirming care generated "positive mental health and psychosocial functioning outcomes."

Policies that prevent access to hormone therapy for minors cannot be justified based on scientific findings or concerns about potential regret in the future, the report states.

The agency is not taking a position on whether lawmakers should lift the statewide ban on hormone therapy and surgeries for minors. But it reminded lawmakers that they had intended for the prohibition to be temporary until the state could conduct its own research

Utah is among 27 states that have adopted laws restricting or banning gender-affirming medical care for transgender minors, who Republican politicians have made a political lightning rod. Federal judges have struck down bans in Arkansas, Florida and Montana as unconstitutional, though a federal appeals court has stayed the Florida ruling. The law in Kansas is not yet being enforced.

Some Utah Republicans said they were open to considering the findings of the study, while others were quick to dismiss it.

In a joint statement, the House sponsor of the 2023 law banning gender-affirming care and the chair of the Legislature's interim health committee said they "intend to keep the moratorium in place."

"Young kids and teenagers should not be making life-altering medical decisions based on weak evidence," said Republican Reps. Katy Hall and Bridger Bolinder. "Simply put, the science isn't there, the risks are real, and the public is with us."

Full Article

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submitted 2 weeks ago by [email protected] to c/[email protected]

cross-posted from: https://hexbear.net/post/5090088

Hi comrades, Thank you to everyone who’s shown love or support. So far we’ve raised $205, and we’re so deeply grateful. It’s a reminder that we’re not alone.

But we still need $995 to reach our goal. Without it, we can’t secure a small apartment in Juba for myself and a few of my trans sisters while we await resettlement.

We were told by UNHCR to “blend in,” but that’s not something trans women like us can safely do. We’ve already faced violence and discrimination, and we’re scared of what could happen next.

This money covers two month of rent, food, water, hygiene items, and emergency transportation. We are doing all we can to survive...but we need help from our global community too.

If you’re able to support or share, I’ve left the details in the comments again. Every bit brings us closer to safety and peace. Thank you for reading.

In solidarity and love, Onandrah 🏳️‍⚧️💙🙏🏿..

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submitted 2 weeks ago by [email protected] to c/[email protected]

cross-posted from: https://hexbear.net/post/5081691

cross-posted from: https://hexbear.net/post/5081688

We’ve just been told we can’t remain in the camp anymore. The host community no longer wants us there, and now over 300 LGBTQ+ refugees from Uganda, Rwanda, Burundi, Congo, and Ethiopia ...have been moved to Juba while we wait for our resettlement interviews.

UNHCR says they’ve run out of funds and cannot support us. Part of this crisis is due to deep funding cuts to humanitarian programs during the Trump administration cuts that are still impacting vulnerable communities like ours today.

They’ve told us there’s no shelter available, and finding a safe house big enough for all of us could put us at even greater risk. So we’ve been told to "blend in" ...but for openly queer and trans refugees that’s a dangerous and impossible ask.

I’m trying to raise enough to rent a small, safe apartment in Juba for myself and a few of my sisters. A place to breathe, rest, and survive while the process moves forward.

🏠 Our goal is $1,200 to cover:

Rent for 1 month

Basic food and water

Hygiene supplies

Emergency transportation or medicine

If you can give..even $5 or $10 it brings us closer to safety and hope. If not, a share can still save lives.

If anyone feels moved to help or wants to know how to support, you can DM me or check the link in my bio.

We are trans women. We are refugees. We are human. Please help us survive this chapter. 💔

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Of course they won't, but it's interesting their own study proves them wrong. I guess they forgot to pay off and/or threaten the right people.

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cross-posted from: https://hexbear.net/post/5070660

Will and Hesse are joined by filmmaker Louise Weard as they discuss two controversial 90’s films that bend both genre and gender: Neil Jordan’s The Crying Game(1992) and David Cronenberg’s M. Butterfly (1993).

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submitted 2 weeks ago by [email protected] to c/[email protected]

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)

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submitted 2 weeks ago by [email protected] to c/[email protected]

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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traaaaaaannnnnnnnnns

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