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1:01 AM
O/
I need some help with limacons
@Deusovi Can you help? I'm kind of confused on how to find the polar equations to limacons
@Graylocke?
 
Heya :) Sorry
 
Hey!
So yeah. I'm a bit confused on what to do with limacons. I'm good with like the flower-shaps (acos(ntheta) and bsin(ntheta)) and the basic circles
I also know that it's the petal-shaped circle (cardiod) forms when a=b in a+bcos(x) or a+bsin(x)
It has a loop when a<b
And it's a dimple when a>b
 
i'm around as well - so what's the issue?
 
Deus is likely to use the right words, so I am here and listening but ... :)
 
@Deusovi I'm just confused about how to write the equation with correct numbers
Like
(let me drop in a picture)
So I'm going to drop the three cases real quick
 
1:17 AM
sure
 
and you want to figure out how to write an equation for those?
 
Yup. I'm confused on what the values of a and b are when r=a+bcos(theta)
 
alright, well
 
(and also for sin, which is just on the y-axis)
 
1:19 AM
when θ=0°, what is r? when θ=90°, what is r?
let's do the last one in particular
 
Okay
When theta=0, it's equal to a+b
because cos(0)=1
 
i mean in the actual picture, what is the number
 
(but that's correct, and was going to be the next step!)
 
It looks like it's 7 and -1 because those are the x-intercepts
 
1:21 AM
well, that's θ=180°, not θ=90°, but that'll work too
 
Oh I meant when theta=0
Ohhh wait my bad. When theta=0, it's just 7
 
huh?
oh ok
 
Mixing up my variables. I realized as soon as I sent it
 
right, there's only one value. (you can actually pick it to be the other one if you want! you'll get the negative of the equation, which draws out the same shape)
 
When theta=90, r=4
@Deusovi ah, cool
 
1:23 AM
so you know your equation is r = [???] + [???] cos θ
 
that means 7 = [???] + [???] cos(0°); and also 4 = [???] + [???] cos(90°)
 
Right
Oooh, a must be 4
Because
 
:)
 
Okay okay let me back track
So when we look at [???]+[???]cos(90*), we know that the "b" value (coefficient of cosine) is going to be zero, because cos(90) is zero
So the "a" value must be 4 in order for the equation to make sense
 
1:25 AM
makes sense to me
 
And that would also mean that the "b" value is 3
 
hooray!
 
because when we go back to a+bcos(0), we know that it has to equal 7. cos(0) is 1, so 4+b*1=7, or 4+b=7, which is three
 
yep, looks good
and there you go, that's it
 
Ah, so I can figure out the "a" value by finding the value of cos(90)
And then the b value from finding out the what theta=zero, subtracted from the a value
 
1:29 AM
yep, looks right! i find it easiest to just think about plugging the points in for r and θ. and this'll work for both vertical and horizontal. (the vertical ones, the other equation will be the 'easy' one)
 
Ah, okay. Because sin starts at 0 and then reaches 1 at 90 degrees
@Deusovi Hm, when is the circles at 0 degrees? Is it the furthest point to the right?
Or what about the loopty-loop circle? What value(s) is at 0 degrees?
 
to the right, you mean? could be - it's just the point where it starts turning around, going from inwards to outwards or vice versa
you mean r=0?
 
No, when theta equal zero
Because you asked what is r when theta is equal to zero, right? But there looks like there are two values for r because there are two circles
 
it'll be the point on the right, yeah - if you get a loop on the inside, then it'll be either the point on the tip of the loop (in your picture, r=2) or the other non-center point (r=6)
and you can pick either one - you'll get equations that are negatives of each other / flipped around, but it'll work either way
 
1:34 AM
(cheers on quietly from sidelines because i forgot how to do limacons)
 
(cries in polar)
Why do we have polar graphs?
Were rectangles not good enough?
 
i remember nothing about polar anymore except that i absolutely hated it
 
I'm a bit scared because even bobble seems to hate it
 
polar coordinates are nice for circle-y things
 
it's not too bad, it's just a different way of thinking about coordinates and it takes getting used to - you either love or hate it
 
1:36 AM
good luck describing a limaçon in cartesian coordinates
 
@Deusovi But why would we need that?
@Deusovi internal screaming
 
having ways to describe mathematical objects is generally useful
 
It makes describing circular and elliptical and curvy graphs way easier, basically
 
especially if you want to study them
 
Ha, funny
Okay, yeah, I looked at wikipedia, and limacons in cartesian looks like a pain
@Sciborg When are you planning to level up again? :P Not going to assume is going to be too soon, but curiosu
 
1:55 AM
Probably at the end of the Timid Trio session, depending on how things go :)
 
Ooooh, okay :D
I was talking to a friend, and he suggests I go Gloomstalker to balance out the team
He pointed out that having a warlock on the team is basically a massive attack power already, so i could focus on util
Which makes sense, I guess. More stealth -.-
 
Whatever you want to do, up to you. Ink will definitely get stronger in attack power as we progress
 
Yup
Portable turret
 
but it's not always about party balance so much as what you want to play :)
 
polar is fine... it makes a number of future descriptions a lot easier.
 
1:57 AM
Very true as well
@Graylocke future description? dym?
 
First you need to get Ink angry enough at things to kill them first and ask questions later ;p
 
True
Polar isn't very useful outside of combat, and I've noticed this party isn't exactly combat-oriented :P
We'll see on how I feel. I'll probably change my mind again :-:
 
@Sciborg Ink is playing the wyrd so...
 
You've got until tomorrow, so plenty of time :p
 
2:00 AM
We're L2, right? >.>;
 
yup
so next level up will be 3, and that's an exciting one for most of us
i think you unlock Cool Warlock Stuff
 
My Book of Shadows actually gets properly magical
 
Heck yeah :D
i look forward to it
 
we will see exactly what the outcome of Ink's shakeup is...
 
2:04 AM
Cause it might change my spell list ;p
 
I'm set to get Fog Cloud when I level up. I realized not all my spells have to be combat oriented
Heck, I realized DnD usually involves a lot more than combat :P
 
Whereas at this point for me... I have to be reminded that my characters should be able to fight :P
 
Maybe I should go Horizon just for simplicity sake
 
Horizontal Walker you mean? :p
 
Sorry, my bad
Because Gloom Stalker would mean I would need to multiclass into rogue
 
2:08 AM
we must call it by its true name
 
I think... you should go the class that you think makes Lae cooler
 
^
 
And cooler in your opinion, not ours :)
 
But they're both cool ;-;
 
most important thing is whether you think it's fun!
they're both really good but what matters is what you want to play <3
 
2:09 AM
we'll see by what happens tomorrow. They both look equally awesome, which is why I'm struggling :P
 
they are both hella dope, yeah
 
Well, you won't need to know tomorrow unless we level immediately, right?
 
Right, which I doubt is the case
 
Let the game and your responses to it lead Lae to whatever conclusions... If he becomes more interested in tactical ways of resolving things, done. If he becomes more impatient, done.
 
Yup
Okay, to be perfectly fair
There's only really two things that I want from Horizon Walker: Distant Strike because teleportation is really cool and haste because lae can go zoom zoom
 
2:12 AM
But there are magical items you could get to make up for speed, for example.
 
and, in fact, teleportation...
 
So if there's only two things that I really want from a class, is it really worth it? Though it does allow me to teleport on demand before attacking (which also avoids opportunity attacks!) but is also a level 11 skill, which is... a long ways to go
 
"lae can go zoom zoom" is the only correct reason to level up :p
 
this is why I am letting character choices decide if I pull Ink into aggro spells and abilities... or into more knowledge things
 
2:13 AM
Yeah, we'll see what happens tomorrow
 
North enjoys the numbers and powers side of things, so both ways of deciding are totally valid :)
 
(You could get boots of striding and springing, or whatever the 5e equivalent is)
 
I think it's Boots of Haste?
But maybe Lae will want boots of elvenkind!
 
the former is the lesser version in PF
 
Wait no I think it is striding
 
2:15 AM
:)
you can also get boots of haste
 
Oh it's boots of speed, sorry
 
Boots of elvenkind and cloak of elvenkind are both amazing elf/ranger items
 
So many options!
 
And if Lae does Gloomstalker, that is the ultimate stealth
 
2:16 AM
Also - to be transparent - I have been also looking forward and planning multiple paths Ink could go down.
Powers and numbers are also fun for me, but I rarely let them make the decisions ;p
 
Choicesss
 
I just realized if Lae was a gloomstalker he would've ended that jackalwere turn one even at level 3 o_O
The lowest he can deal is 14, on the unlikely chance he rolls 1 for all of his damage rolls
 
it was a relatively weak enemy considering, but hey, level 2 party - can't throw any crazy stuff at you yet :p
 
(curls in a small ball of floof and yawns)
 
level 3-4 is when most classes beef up in attack power
are you tired gray?
 
2:21 AM
@Sciborg Hehe, you underestimate us. Taking down that lv5+ eldritch knight at level1
 
I didn't sleep so well.
 
buddy, i feel that hard. i've been having bad sleep problems this week
hopefully you can get some zzzz <3
 
@PrinceNorthLæraðr I should have dealt 3d10 damage instead of the 5 I did do. ;p
@Sciborg Eh not for a while - it's the middle of the day so I should try to stay up so I go to bed at normal time... and wake up in time to not be yelled at ;p
 
@Graylocke Lol
 
bahh, everyone needs naps :p
honestly i kinda popped in to see if bobble was around for 'borg-therapy about Sleep Problems, but i don't want to be a bother since it seems some stuff happened in the Lair.
 
2:25 AM
Yikes yeah
 
so that shall wait for another day
 
Sleeping problems suck..
 
You can listen to me panic about life
 
tailhugs a borg
 
i've been having new sleep problems that i don't usually have and i kinda am freaked out about it, but i don't wanna complain about it
 
2:27 AM
I discovered I have sleepparalysIs zo i guess we all suffer from sleep here
 
recently?? holy crap man, that's scary
 
@Sciborg Well - I totally hear that.
@PrinceNorthLæraðr Urf - not fun
 
@Sciborg Thankfully only when I try to go back to sleep after sufficiently being awake
 
do you have the hallucination type or is it the locked-in type where you can't move, or both?
 
I feel like someones pushing on my chest and I can't breathe
 
2:28 AM
yikes man, that's terrifying
 
Yeah
The worst thing is, its so hard to wake back up
 
i only know one guy IRL with sleep paralysis, and he has the type where he both can't move and his dream is still going while he is partially awake, so he hallucinates crazy stuff while he's completely frozen and can't move. and he said it's the most terrifying experience imaginable
 
sleep paralysis is nasty
 
Yeah at least i don't hallucinate
 
2:31 AM
yeah... I had that in one specific house I lived in with my folks...
if I believed I'd say the house was haunted...
 
there are legit historical theories that stuff like the Salem witches, demonic possessions, etc. were just cases of severe sleep paralysis
 
but since that was around the time my folks split up... that seems more likely the psych cause ^^;
and I haven't had it for quite a while since moving out of home
 
aw - yeah, stress will do that to you :(
 
but I used to see an old witch like woman sneaking into my room and pushing down on my chest
 
2:33 AM
so yeah - I get that whole thing
 
OH
that's TERRIFYING
 
Yeah - just a bit...
 
okay, at least i don't have that happening, so i feel a bit better
 
Most sleep troubles are caused by other things... one's brain does a lot of off-loading when it (thinks it) can.
 
that's probably part of what's going on with me, it's been a very high-stress busy week so i'm sure that is part of brain flipping out
hoping it calms down
 
2:37 AM
Yeah
 
why do brains suck so much
 
They are the great pattern matchers... They want everything to potentially be a tiger
 
brain: "what is that. is that a tiger. is that a tiger."
you: "no it's - it's just a shadow -"
brain: "T I G E R?"
 
I hear what you are saying, and it sounds a lot like TIGER!!!!
 
2:42 AM
my favorite exercise in AP Psych was the one where it showed you how your brain takes the most innocuous basic shapes and morphs them into threats if you prime it to do so, like if you look at pictures of scary things and then look at a picture of disconnected lines and your brain immediately forms a spider out of it
the whole priming unit was so fascinating
 
F**K SPIDERS. Sorry - I live in Oz. It is the worst place for an arachnophobe. -.-;
 
oh LORD i forgot you lived in Oz, you have literally all the spiders
 
The one thing that freaks me about my farm... the spiders.
 
if it's a spider that can murder you, it lives near Oz
 
The ones I am most afraid of aren't even dangerous lol
Anywhom
That same priming thing is really fun to do with that whole "play a record backwards" meme.
 
2:45 AM
ah yes, the old "hail satan" :p
 
There is nothing there until you are told what the words are... and then you can't unhear it.
 
the pokemon one still gets me
 
Thankyou brain.
 
@Graylocke What is that?
 
Basically, there are certain songs where if you play them backwards, you can "hear" demonic messages
 
2:46 AM
Uhm - People used to think that rock music (or whatever was thought unsuitable by parents) hid "evil messages" if you played them backwards
As some kind of brainwashing technique.
 
there is a famous one with Led Zeppelin and another one with Pokemon
 
As it turns out... there is nothing but semi-random noise... from which you can interpret a sentence if you want to... and when it is pointed out, you can't unhear it.
 
Rather not listen to it :P
 
You've been told, and your brain will try to make it make sense.
 
2:47 AM
it's a fascinating thing about the human brain, you can prime it to hear anything in white noise pretty much
 
Ym, try to hear it as Hi Santa :P
Like tell yourself hi santa
 
lol - I played that out loud and my housemates said "Uh... All chickens?"
 
literally all i hear is "i love chicken"
and honestly, same
 
TBH - I have trouble hearing this one knowing what it should be.
But in some of the others it is really funny... uhm
 
the led zeppelin one was presented in a ted talk once, and it was hilarious
 
2:52 AM
this one doesn't tell you what it is meant to sound like lol
(Also - How far is 300' @Sciborg ..? I mean... that's ... forever away)
 
?
 
Like no combat is going to involve us being 300' away... why would you make Eldritch Blast have such a ridiculous range? o.o;
 
because warlocks are awesome
that is the only reason :p
 
Hi... you are in a neighbouring town... and you take dmg... let me know when you get here, because you're taking dmg every time you pause?
 
I mean, you still have to see the target, granted :p
so it is limited by how far you can see
 
2:58 AM
Right or like the long range of long bow is 600 feet
 
but plausibly most humanoids can't see that far away
 
Unless you have height
Like in an elevated area
 
now, you could obviously circumvent by having a warlock seeing eye familiar who flies around the battlefield....
;)
 
but there is no range penalty on spell attacks >.>;
 
600 feet, in perspective is the length of TWO football fields
@Graylocke damn youre right
 
2:59 AM
I have played a character with that kind of bow range before (in PF) but...
 
There is no range penalty, but you can't hit a target you can't see
with any kind of attack
 
Well yes
What is normal vision on an open plain (plane!)
 
i'm not sure actually
lemme google
 
@Sciborg Whats the usual range in on flat ground with good weather
@Graylocke Jinx
 
2 miles? o.O
 
3:01 AM
2 miles??????
that can't be right
15
Q: How far can characters see?

CraigLet's assume we have some PCs moving along infinitely flat plains. In the air (some distance away) is a large creature with a rider that can cast spells. In optimal conditions (so there's normal daylight and no obstructions), how far from the PCs can the rider be and still see them? Note that I...

 
I can actually see two football lengths
Thats reasonable to believe
 
this is all assuming you can find and fight on a completely flat, non-hilly terrain map with perfect visibility, however
 
LOL
"In short: The party can see as far as you want them to be able to see, unless the range is under about 50ft or so, at which point the rules make sense again."
 
lmao
 
so yet again RAW lets us down ;p
 
3:03 AM
yeah, there are really no rules for this. it's up to DM judgment for the terrain, light level and obscurity like fog
 
and usually i don't let you see much farther than like 100 feet tops
 
Anyway - I am not taking that Invocation because... mreh
 
BTW when its completely dark you'll let us know when we have disadvantage right?
 
But I don't think it is likely I will take Darkness at L3 either :/
 
3:04 AM
if it's dark i usually ask who has darkvision, and anyone who doesn't gets the usual light penalty
 
@Sciborg I thought you get disadvantage in complete darkness with dark vision
Because you can see it as though it were dim light
 
no...? the only effect of dim light is -5 to perception checks
 
and then fighting in complete darkness is disadvantage
without darkvision
 
Huh wait sit ok
Ah you right mb
 
3:06 AM
darkvision is basically just "i can see in dark as if it's dim so we good"
 
And its only to passive perception right?
 
passive perception and visual perception checks made to find hiding creatures, i think
 
so basically it's just easier to hide in dim light
 
I thought you can't hide if the creature can clearly see you. Does dim light count as being able to clearly see a character?
Like say in the middle of combat
 
3:08 AM
if the creature can clearly see you, you cannot hide. you can only take cover
 
Ah okay
Damn so the Gloom Stalker ability is Hella good
 
just imagine it's like a video game where once detected you can't be un-detected
 
Ah I see
Unless you're gloomstalker where you're invisible in the dark
 
Do you ever get the ability to cast two spells in a turn?
 
There's a specific magic item that lets you cast two cantrips per turn, but as far as i know you can't cast two spells in a turn ever
 
3:10 AM
o.o; want...
 
the magic item in question is Bracers of Illusions or something like that, i can't remember the name
 
I only ever cast Cantrips anyway! lawl
 
it's dope :p
 
...
 
?
 
3:14 AM
aaaaand listed as a "broken item" for Warlocks (even though Warlocks are consistently rated the weakest class by the same people). ^^;
 
ah, yeah, it's pretty controversial...
but i think it's fine, the warlock class could use a boost
 
So even though you can do more damage as a different class, it is broken for Warlocks ^^;
(at the level where you would get your hands on the item that is)
lawl
anywhom
 
yeah, people are unfair to Warlocks
 
I really like the class because it is full of interesting RP opportunities.
 
heck yeah :D
that's more important to me than the OP-ness or UP-ness
 
3:22 AM
^^' Which only works when you have an awesome GM ;p
 
<3
 
Entirely side note ... >.>; Anyone want to give me feedback on my example paragraph describing one of the neighbourhoods in my town? >.>;
 
ooh is it for a campaign? i'd love to read
 
I am writing up locations and things into World Anvil <.<; Just kind of practicing >.>;
I don't want to fill North's room with stuff though lol
 
World Anvil is super useful, some of my DM buddies use it and love it a lot
we spam stuff here all the time so no worries :p
 
3:26 AM
Welp...
The wooden signs creak lazily in the autumn breeze, setting up strangely melodic echoes across the mostly empty cobbled streets. The scrawny, young man with the faintest hint of moustache scampers nervously between shopfronts, scanning anxiously around as he does so. Each window is crammed with widely varying collections of bric-a-brac and artistic works: from vintage fireirons made from real Fire to a model shop that contains a model of itself (including the model!). With a sudden muffled exclamation, the boy scrabbles across the narrow lane to scan the sandwich-board outside an open doorw
 
i like it a lot! great atmosphere
a model shop that contains a model of itself :p
i hope it's just like a model shop containing a model containing a model of the model and it just goes infinitely small
 
Of course ;p It is model shops all the way down.
Demographics
Chequers is a low-to-middle class neighbourhood of Fartown, lived in by the owners of small businesses catering to the very niche, usually vislae, market. They keep mostly to themselves and tend to be retirees, reclusive artists, and single-parent families. Certainly, more than a handful of them like to think that, because they are working, they are a step up the ladder from those stuck living in the Hollows. However, it seems that a few of the shadier stores have even shadier suppliers in that very district; opening at odd hours to sell esoteric items and trinkets, sometimes b
(vislae are magic users >.>)
anywhom </spam>
^^;
 
"the Hollows" is a badass name for a neighborhood
 
It's an entire district :)
 
"where did you grow up?" "The Hollows." flexes muscles
 
3:32 AM
Chequers is in the district of Fartown... where a lot of the vislae live. It was separated from the main part of the city because well... you know... magic users can cause all kinds of problems.
 
i dig it :D
 
That's all standard locations though... I have just been creating neighbourhoods (with my players) inside the districts. :)
It's part of character creation! Which is awesome.
 
i love that, one of my favorite things to do with players is like "okay, what town are you from? what kind of place was it" and they're like "hmm can it be like a fishing town?" and we work together to add it to the world
 
You get to describe your character and your powers and order (class) but the other players make up your neighbourhood and neighbours and things happening there and other important things about where you live.
and the ones you like the most you get to give another character a starting boost :)
it's a really collab story game.
 
neat!
 
3:35 AM
and since you need both good and bad events to get more powerful...
everyone is kind of okay with sometimes things not being so great :)
means you get to occasionally twist the knife into your own character somewhat ;p
 
what's a character without TRAGIC BACKSTORY :p
 
to level you literally need some Joy and some Despair.
 
ah, so there's literally a system for it
 
so sometimes things go poorly for your character and that's okay levelling wise.
you need to learn from both success and failure ^^;
 
i like that a lot, failures help you grow too
 
3:39 AM
Gray are you planning to multiclass?
 
@PrinceNorthLæraðr multiclassing Ink? maybe, I suppose... I wouldn't really know what to though.
 
hmm... then I would need to work out how multi-class spell casting works... yikes.
 
You pretty much just have to print a second spellcasting sheet, one for each class
 
they don't have a fey bloodline :(
though there are some cool options there >.>;
@Sciborg So it has almost become canon that Ink is from Forgotten Realms ... ;p
 
3:52 AM
i mean, if you want to be :P
 
Are we somewhere specific? Iunno - I am just as happy to call Ink's homeland "Wyrevah" but I was curious and thinking I should add in the weird bits and pieces about it that I have added.
 
at the moment your world is called Velinor
 
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