Kaelygon

I converted my speculative species into a thematically fitting normal/poison Pokemon.

Venom Bite is the only custom move.
Physical, poison, 120 power, 70% accuracy and 30% chance to poison the target.
It's supposed to be poison variant of the Gen 2 Thunder.

No actual rom hack was done. This was a cheeky video edit, but all of the stats, sprite and flavor texts are within the original game constraints. Gen 2 Pokemon have 10 character limit so "Maned dragon" had to be abbreviated.

I scaled the IVs and EVs referring to my L73 Vaporeon, so every stat should be plausible and moves in the video is what Manedragon would have in wild.
They're not optimized for anything.

PokeDex:

No. ???
Manedragon
Venomous
Type / Normal Poison
HT 3'11"
WT 99.2lb

Flavor texts:
Silver

It prefers to hunt
alone and is ready
to strike with its

venom. Yet it
forms unique bonds
with its own kind.

Gold:

Its venomous bite
can defeat larger
prey than itself.

Despite its name
and looks it's not
a true dragon.

Rest of the Manedragon movepool, stats and details

Based on speculative species Maned dragon

Cry editor Github

56x56 Sprite

I have been exploring this particular prime 13238717 which is sum of two squares and has Pythagorean triple.
I found this interesting property and so far I haven't found any texts about what I wrote below.

This is just my conjecture, I have no formal proof and I have only tested few small primes.
I haven't found any counter examples yet, but I have checked only few dozen primes and couple composites by hand.

I modified ChatGPT script which lists numbers that have both forms P^2=a^2+b^2 and P=c^2+d^2 and it appears to generate the exact same sequence as: A004431
5 10 13 17 20 25 26 29 34 37 40 41 45 50...

Numbers P seem to always have both following forms Hypotenuse numbers (Pythagorean triples) A009003: P^2=a^2+b^2
Numbers that are the sum of 2 squares A001481: P=c^2+d^2

Wolfram notes, "-- one side of every Pythagorean triple is divisible by 3, another by 4, and another by 5."
I noticed if P is prime and have both forms: one of the Pythagorean sides (a or b) whichever is divisible by 4 has the exact factors that construct both of the square sum components 'c' and 'd', with the exception of extra factor '2'.

Here's the conjecture put out more formally based solely on my observations:
Pythagorean sides: a,b and square sum componentsc,d are natural numbers and n#, m# are prime factors.

a^2 + b^2 = P^2 (pyth. triple)  
c^2 + d^2 = P (sum of two squares) 

(a or b) mod 4 = 0
(a or b) factors are = 2* (n1*n2*n3...) * (m1*m2*m3...)
c = n1*n2*n3...
d = m1*m2*m3...
(a or b) = 2*(c*d)

Here's couple examples:
primes 2 and 5 are trivial exceptions as 1 isn't a prime factor.

1^2+2^2=5  
1^2+1^2=2

Prime: 13 (first non-trivial prime case)

5^2 + 12^2 = 13^2 (pyth. triple) 
2^2 + 3^2 = 13 (sum of two squares)  

12 factors are 2 2 3
12 mod 4 = 0
c=2
d=3
12 = 2* (2*3)

Prime: 821

429^2 + 700^2 = 821^2 (pyth. triple)  
14^2 + 25^2 = 821 (sum of two squares)  
  
700 mod 4 = 0
700 factors are 2 (5 5) (2 7)
c = 5*5 = 25
d = 2*7 = 14
700 = 2* (25*14)

prime: 13238717

1315508^2 + 13173195^2 = 13238717^2 (pyth. triple)
181^2 + 3634^2 = 13238717 (sum of two squares)  
  
1315508 mod 4 = 0
1315508 factors are 2 (2 23 79) (181)
c=181
d=2*23*79=3634
1315508 = 2* (181*3634)

Some composites have multiple ways to write sum of two squares, which each have different (a or b) counterpart, but not necessarily divisible by 4. composite: 260

(four valid pythagorean side pairs)  
132^2+224^2 = 64^2+252^2 = 100^2+240^2 = 156^2+208^2 = 260^2 
(two valid square sums)
8^2+14^2 = 2^2+16^2 = 260

8^2+14^2:
224 mod 4 = 0
224 factors 2 (2 2 2) (2 7)
c= 2*2*2 = 8
d= 2*7 = 14
224/(8*14) = 2
  
2^2+16^2:
64 mod 4 = 0
64 factors 2 (2) (2 2 2 2)
c = 2
d = 2^4 = 16
64 = 2* (2*16)

composite: 58

40^2+42^2=58^2 (pyth. triple)  
3^2+7^2=58  (sum of two squares) 

42 mod 4 = 2 
Not 0 mod 4 congruent, unlike primes. 
Might be result of both c, d being odd.
42 factors 2 3 7
c=3
d=7
58 = 2* (3*7)

Generally it seems that there's always at least one Pythagorean component where (a or b) = c*d*2, but I haven't quite figured why this is the case.

I reckon it has something to do with the fact that mod 4 congruence of 4k+1 doesn't change when you square it: (4k+1)^2 = 8k*(2k+1)+1
Additionally the fact that when sum of two squares is prime or odd, exactly one of the components is always odd, which may explain why (a or b) isn't always divisible by 4 with composites.

ChatGPT wrote a counterexample finder I checked up to 100 000.

To my knowledge there isn't straight up equation that would spit out a Pythagorean triple or sum of square solutions for any integer.
There might be some other way to prove or disprove that a or b = c*d*2 when P is prime, but so far I couldn't think of any.
It might be something obvious that I am missing, or it's simply all about congruence rules of additions and multiplications.

Again, this is just what I've found from my few tests and I don't have any formal proof. I couldn't find any papers or posts specifically about this. This is nothing too important, but I found it interesting enough to share.
I just write bad python code out of interest in number theory without an university degree.

Thanks for the solution goes to: @0v0
Here's summary how I understood this:
Brahmagupta–Fibonacci identity

P=c²+d²
Squaring 'P' results in:
P²=(c²-d²)² + (2cd)²

These 'P²' sum components are equivalent to the Pythagorean legs 'a' and 'b':
a=c²-d²
b=2*c*d

Hence, '(a or b)' always contains the factors '2' and all factors of 'c' and 'd'. 

Additionally, the 2*c*d divisibility by 4 is result of P being odd.
2*c*d being divisible by 4 is true for any odd number as one of the sum of square components 'c' or 'd' must be even.

c=2*k
b = 2*c*d = 4*k*d

Steps to reproduce:

1. Be logged out
2. Search Communities
3. Paste the full community link to search -> No results.
4. Login
5. Two results appear and if you edit the text field, a duplicate result shows up each key press.

I really love fishtrouts comics.
You can find the original post here!

Not a dragon in traditional sense, but I took some inspiration from furred dragons and drakes.
The original concept is mix of canines and lizards.

Is it a lizard or just a funny looking dog?
I made cover art for my own species!

It sure has been a while since I drew ferals, but I think this ended up pretty alright.
I barely draw nowadays as I mostly focus in 3D art.
Feathers are bit wacky and shading isn't very accurate as I mostly winged it, but I just liked the process of drawing shades.

It's totally fine if you believe that life starts at conception.
The thing that actually baffles me are the states that passed anti-abortion laws, but struggle to provide adequate health care, especially for those who are not financially stable.

I found this article, "States with more abortion restrictions have higher maternal and infant mortality", but feel free to correct or educate me on the topic.

Edit: removed "this article" appearing twice and tried to fix preview

Furred dragons have become a wide range of creatures, and classifying them is vague at best, so this will be my subjective view.
My fursona Tiena recently had an identity crisis as I asked the important question What is a dragon?

The most common feature among furred dragons is the snout in the picture, which is usually similar to reptiles and the nostrils are on top of it. But not exclusively, but this is by far the most common trait. I believe that the only requirement for a furred dragon is to have fur or feathers.

Traditional dragons usually are mythological, and one or more of these features: breath attack, large size, wings, scales, whiskers, reptilian features, lays eggs, horns, etc.
There are also dragon types such as, Eastern, Eastern, Wyrm, Serpent, Wyvern, and so on.

Furred dragons don't have strict rules about what they are other than fuzzy dragons.
They may lack wings, have ears, be mammals, and require no supernatural abilities or relation to mythology. Which begs the question of whether they are dragons at all.
Although I have yet to see a furred dragon that doesn't have any draconic features, you may add that as the second required trait.
Of course a creator of their character can ignore the semantics and have any artistic freedom on what makes them a dragon. Not necessarily in a traditional sense.

Originally around 2018 my sona took inspiration from komodo dragons and maned wolves, then 1-2 years later I found about furred dragons, which shared many similarities due to the reptilian aspects. From that point on, I called my sona a furred dragon until now.

I concluded that my sona isn't an actual dragon, as his only dragon-like features are the snout and tail profile, but even those are based on komodo dragons.

So, I made a new species based on maned wolves and komodo dragons and I came up with the very original name feather maned dragon. But since the species is based on early real-life mammals, the name is a misnomer as he's not an actual dragon. Which is rather poetic, and this all comes back to a full circle.

Krita Base: https://kaelygon.gumroad.com/l/ManedDragonBase

This species which is based off my sona Tiena

More details about maned dragons: GitHub

Aaneu is anthro maned dragon as the species itself is feral. He'll be one of the reoccurring reference character.

The character, species lore and concept are public domain, but the art is CC BY 4.0 which only requires crediting me if you use the base.

For example the credit can be watermark in the art, mention or link in same post when you share it.

-Easier birth control: Make the egg into an omelette

-Relaxed child support laws: Requires deliberate decision to incubate the egg

-Clean packaged periods: Egg = No mess!

Although, there would be stories about partners hiding fertilized eggs: Instead of unplanned parenthood we would have unconsensual parenthood

There's probably more nuances I am missing. But do discuss it in the comments.

I started writing a grimdark fantasy based in DnD (Dungeons and Dragons) in Forgotten Realms, where some outcomes are left to a dice roll. I have never written a poem or a book, but I got lost in the topic and building this character.

.

I see grimdark being about moral ambiguity, a gruesome world where there are no good choices or endings. This started as a freeform poem from the protagonist's perspective, which led to a tragic ballad-like structure.

-Quatrain

-AABB rhyme pattern

-8 or 9 syllables per line

.

The protagonist, "Aaneu", is a rogue/warlock who lost his past life. In the desperation, he made a pact with a trickster patron without realizing the extent of the contract. The ones Aaneu knew in the past, but they don't know him anymore. But they live.

If Aaneu were to defy the pact, he and his past would perish. Aaneu is tasked with cruel deeds, while his past is kept as a hostage. His sheer will and loyalty drive him forward regardless. Selfish acts for a selfless cause.

.

In this new life,

Aaneu is part of a collective "The Veiled Accord" that he is a loyal member and enforcer by choice. The few groups and individuals he's close with, he trusts by life. It's a story about betrayal, longing, and isolation, with contrasting themes about loyalty, nostalgia, and conflicting romance of "green scales".

In mental breakdown, either due to the deeds he did or surfacing memories, he falls into an apathetic state, reciting parts of the poem in tears. Trying to process, what is it that he is after?

.

This is just the surface of the character. You can call it edgy or cliche, but I'm really enjoying the theme.