The h Bar

user228700

8:00 AM

I'd rather procrastinate than go through the same old crap, over and over again, despite knowing that revision is important.

anonymous

@Kaumudi.H Revision is more important than studying in my opinion. If you don't remember what you studied then it is of no use.

user228700

And I'll gladly revise months before but the few weeks before? It's stupid but my mind says "Oh, eff this".

user228700

@anonymous I don't think it's more important but it's certainly as important as studying.

user228700

But it's boooring.

anonymous

@Kaumudi.H Depends on how you revise...

I find revising easier than learning the first time

John Rennie

8:02 AM

I tended to revise by doing old exam papers. At the end of the day the no. 1 goal is to pass the exam. Learning physics is a (pleasurable) optional extra.

user228700

I was just wondering if any of u have/used to have the same problem. I can't afford to lose more marks just because I find it boring.

user228700

@JohnRennie Sigh. That is true :-(

Balarka Sen

That's high school education for you.

user228700

That's *education for you.

Sir Cumference

@BalarkaSen That's a bit cynical...

David Z

8:03 AM

@DanielSank that's a question that I would prefer to see asked in the other chat room. But as long as I'm replying, at the moment, I'd suggest staying away from that topic. You can always have that conversation in another room. Asking about funding for science in the UK (or anywhere else) should be fine though.

Balarka Sen

@Kaumudi Nah

user228700

Not the point tho.

Sir Cumference

@Kaumudi.H Education can be made fun/interesting

anonymous

@Kaumudi.H I had the same problem. After failing in one of my maths tests (just because I didn't revise the problems I had done few months back) I stopped being a lazy ass.

Sir Cumference

Just depends on who's teaching it

user228700

8:04 AM

I need to figure out what to do about this and I need your help, especially if any of you have experienced the same thing.

anonymous

There is no other way than to "JUST DO IT"

user228700

@SirCumference I was highlighting the fact that we've gots to prep for exams as well, at every step.

Balarka Sen

Anyway I revise physics, eg, by writing down the relevant material on the page with the least amount of words. If I am stuck, then I have forgotten stuff and need to read it.

Sir Cumference

@Kaumudi.H Oh, then nvm...

anonymous

@BalarkaSen That is a good way. I give time bound tests on the same questions I had done before.

And check my accuracy

Balarka Sen

8:06 AM

Trying to not sound bookish takes practice though

user228700

Tests are great, no doubt.

user228700

And the only reason I obtained decent marks last year is because I wrote about...30 tests, all in all. I swear to God that I'm not exaggerating.

user228700

But revising's the problem. Only another who has experienced the pain of "Ugh, I know this, I've done this, I just didn't revise" will know :'-( And "JUST DO IT" doesn't help at all. Does anybody know any hacks is what I'm asking.

user228700

One hack that helps sometimes is trance music. I revised all the derivations in physics for my boards having that in the background. But that doesn't help when you've to do problems.

Ramanujan

I am in 11th so how many marks should I target? ( I don't want to be like aim for stars and you will atleast reach sky) I want to fix some marks so I can be happy if I reached. Maximum marks = 470

user228700

8:10 AM

So. Somebody. Hacks. Please. I'm begging.

anonymous

@Kaumudi.H There is no easy way to revise. One hack might be to join an offline test series which might motivate you to study in order to compete. Performance is directly proportional to the pressure you are facing.

user228700

Pressure? It doesn't seem like u read my message, lol:

user228700

11 mins ago, by Kaumudi. H

And I'll gladly revise months before but the few weeks before? It's stupid but my mind says "Oh, eff this".

user228700

It's totally counter-productive and stupid but it is how my brain works, for some reason.

user228700

@JohnR: Nothing other than "Just do it", I suppose? :'-(

John Rennie

8:13 AM

I'm struggling for anything useful to say.

You say you did lots of past exam papers as part of revision last time, and that's the way I would approach it.

Obviously you can get past papers for the exam you're going to sit because you're about to do a test exam.

user228700

To write exams, I've gots to revise what I've studied, no?

anonymous

@Kaumudi.H I am sorry I have nothing more to say. You need to find your source of motivation to revise and only you can find it. We can just give some generic tricks but I'm quite certain that won't help you in the long run. I always found pressure, jealously, envy and desire to be my main motivating factors.

Balarka Sen

spite is the best motivator

anonymous

@BalarkaSen true :D

I sometimes look at the marks of toppers and say to myself: "Look at yourself, lazy ass! Just go and work!".

And it does help :P

user228700

...it's true that you don't even really know me and that you can't possibly help me to find motivation to revise and I'm really not asking for motivation. And nah, "pressure, jealousy, envy, desire...spite", none of that motivates me.

John Rennie

8:17 AM

@Kaumudi.H Take the paper and start with q1. If you can answer it that's great. If you can't then go back and revise that subject until you can answer it. Then do the same for q2 and repeat until there are no questions left.

David Z

@Kaumudi.H everybody's different, so you'll probably have to go through some rounds of trial and error to find what suggestions work for you

John Rennie

Not as a timed exam. You can take all the time you want. The point is to find out what you need to revuise and what you don't.

user228700

@anonymous ...but keep in mind that I'm not asking for motivation. I'm asking for hacks, like the trance music that I helped before.

user228700

@JohnR: Hmm, that sounds like a good plan...

David Z

Personally, sometimes I just take a break. If you're working on a timeframe of a few weeks, you have plenty of time, and taking couple days off could easily help more than it hurts.

user228700

8:19 AM

Nope. No, no, no :-P

user228700

Alright then, I will try some trance music again. I'm writing the test on Wednesday because my mom needs me to write it properly, within the give time-frame. I'll take some more time to revise until then...

user228700

If anybody else has a hack or two, do share.

user228700

Also, @Ramanujan: What test are u asking about and more importantly, whom are u asking? (About the marks)

user228700

13 mins ago, by Ramanujan

I am in 11th so how many marks should I target? ( I don't want to be like aim for stars and you will atleast reach sky) I want to fix some marks so I can be happy if I reached. Maximum marks = 470

user228700

Are u asking about your boards?

Ramanujan

8:24 AM

I am taking about board exams (called ipe in telangana) anybody knows who has experience?

user228700

(Hmm, 500-30(Practicals)=470)

Ramanujan

No,only written test,max=470

user228700

@Ramanujan I don't think anybody here has written the Telengana board exams.

Ramanujan

Ok

user228700

@Ramanujan Yes, I know. 500 is the max. marks in ur actual boards, which is why I guessed that it must be ur 11th boards. 30 is usually reserved for practicals.

user228700

8:26 AM

Don't ur teachers advice you about these things?

user228700

One of my friends used to be in..ChaiNa, IIRC and his teachers told him how to do everything.

Ramanujan

How many marks he (s)he scored ?

user228700

In his 11th boards?

Ramanujan

Yes

user228700

Almost full.

user228700

8:28 AM

He lost two marks in Chemistry so re-wrote that one in the summer and then I think he got full.

user228700

@Ramanujan: I have gone ahead and assumed that you've received and read the above messages and that you've simply not bothered to reply because you seem to do this quite often--completely exit the conversation without any sign that u've done so. I'd encourage you to respond with an "OK", in the least, given that it is not me who just asked for help and received at least something in response.

user228700

I couldn't care less, really, about the fact that u didn't bother to reply, and by pointing this out, I don't mean to attack you either but if u don't at least try to be nicer to people on the internet, well, it's not going to be nice experience for you or for the people with whom you are conversing.

Ramanujan

Ok

anonymous

@Ramanujan I believe you know that your reply sounds excessively rude especially after @Kaumudi.H wrote so much for you.

Ramanujan

@Kaumudi.H thanks for making me aware,I will keep in mind (^ム^)

anonymous

8:41 AM

Anyway, I'll leave it at this and won't comment further.

Ramanujan

@anonymous @Kaumudi.H can some one help me in maths?

I don't know how directly it got denominators

anonymous

@Ramanujan Sorry, I am a bit busy now. Maybe K can help.

user228700

@Ramanujan It's the standard procedure to solve two equations with three variables.

user228700

Look at the numbers on bottom. 30=6.5-2.10

Ramanujan

Yes,I don't know how it arrived at it

And no one is interested to share why

user228700

8:45 AM

Observe the numbers, man. I don't remember the name of this rule, nor do I know how to explain it in words. I also don't know why.

Ramanujan

Criss cross method…but it is only for two variables and other should be (1 instead of "c")

user228700

We're assuming one of those variables (c, in this case) to be a constant to solve the other two variables in terms of "c" or whatever.

user228700

Anyway, I haven't found any need to understand why this works. It works and u can find the answer and moving on has been the standard operating procedure for me. (When applying this rule)

Ramanujan

Ok

user228700

9:03 AM

@anonymous: Not that u'd be particularly interested or anything but just BTW, this motivates me:

2

user228700

youtube.com/playlist?list=PLMs_JcuNozJbjWtEDY68YiVfVTBwc420w

anonymous

@Kaumudi.H Yes, that is it. Listen to the stories of their struggles and their successes and implement the desire to do something in life in your daily routine. I too listen to such stories and read books on them. However, these are certain things which are too personal (and emotional) and I hardly tell anybody about it. Good that you brought it up. That is a lovely channel. :)

user228700

...I'm not focused on the successes of others. Those faces are not those of particularly successful people. It reminds me that there are many problems to solve and that if I am able to work hard, I can put my skills to good use. That is the motivation.

anonymous

@Kaumudi.H "Those faces are not those of particularly successful people."No. They are quite successful in my opinion, smiling through all the thicks and thins they have faced and never giving up. That is a success in itself.

user228700

9:16 AM

That's a different point altogether :-)

anonymous

@Kaumudi.H For me success is being able to be happy with whatever you have at the moment, not being afraid of losing everything you have and yet having a definite reason to live for :)

Ahhhhhh, I am sounding too philosophical today XD

(But I do believe in what I said :) )

user228700

@anonymous Now you're going off on a tangent about the concept of success.

anonymous

@Kaumudi.H I feel too emotional while discussing these things. Let that be. :)

Anyway, I have some work to do now. See you! All the best with revision!

user228700

By your definitions, surely, they are successful. However, I've heard their stories and I know that they don't consider themselves to be particularly successful, in their own terms. It doesn't matter, whether or not they/you consider them successful. I was merely pointing out that problems motivate me because I know that if I work hard, I will be able to use my skills to solve at least some of them.

user228700

@anonymous Bye :-)

user228700

9:31 AM

@JohnR: I've set up quite an agenda for this revision thing. Wish me luck! For how much longer will u be around, BTW?

user228700

Oh, crap, did u go?

Secret

10:07 AM

0

Q: What is the term for 'clean fracture vector'?

Today I observed a builder demolishing a wall in a house. He knew how to hit it in exactly the right place, with the right amount of force, for it to cleanly break into three smaller pieces - along fault lines. Today I observed a household member crack a boiled egg with a single, perfectly alig...

Fault lines?

Slereah

Hm

Trying to write that GR book

Ordering the various chapters is a bit hard

Also defining objects

I think the order of structures might have to be manifolds, fiber bundles, metrics and connections

I think that might be the ideal order to avoid mixing everything together

Skyler

@JohnRennie heh, I just removed every key on my keyboard, cleaned each individually, and removed the gunk under, in hopes of stopping this weird chattering key issue I have. Didn't help so I'm taking advantage of the 5 year warranty

John Rennie

10:30 AM

@Kaumudi.H I'm still here - just temporarily distracted

Slereah

Distracted by the thought of toothpaste

Slereah

11:01 AM

It is weird that our chat is the most active of all SE chats

By a huge margin

Oh wait, apparently not

John Rennie

Where are you getting the chat stats from?

Slereah

I looked at the wrong stats, I'm afraid

We are #8 apparently

Steenrod uses odd names

The bundle of a manifold he calls a "coordinate bundle"

Although...

I guess technically they're not manifolds

They could be

but the coordinate neighbourhoods aren't required to map to $\Bbb R^n$

koolman

11:19 AM

Hii @JohnRennie

John Rennie

Morning

koolman

Hope you are free now

May I ask the question

John Rennie

I'm doing bits and pieces, but if it's a quick question I can help.

koolman

I don't think it is a quick question

You can see it

physics.qandaexchange.com/?qa=1139/…

Here it is

John Rennie

Starting on the left - the case with the pin - the pin at A stops the top left corner of the plate from moving up/down or left/right. Yes?

koolman

11:25 AM

Yes

John Rennie

In the middle case the plate hangs from wires. The top left corner can now move left/right because the wire doesn't restrict the horizontal motion.

In the final case with springs the top left corner can move left/right and up/down. So the motion will be different in the three cases.

koolman

Yes

So how can we find angular acceleration in second and third case

John Rennie

Offhand I don't know. I would have to sit down and work through the problem.

koolman

Actually the solution is given , but I could not understand it

Here it is drive.google.com/file/d/0B_VIunw7zgLlZmg3RzFZcFBfRk0/view

Question number 16.160

user228700

11:49 AM

Oh oh, @JohnR: Are u busy/around?

John Rennie

@Kaumudi.H Hi, what's up?

user228700

Hi again :-) I'm here to trouble you with a quick electrostatics question, if u don't mind.

John Rennie

Ugh! Electrostatics! :-) Ask away and I'll help if I can ...

user228700

OK. I found this question:

user228700

11

Q: Can a conductor run out of electrons to cancel external electric fields?

We have studied so far that electric field inside a conductor if no charge is placed inside is zero. But we know that every conductor has only a limited number of electrons. What happens when ALL the electrons have aligned to cancel the field inside conductor under application of external field ...

electrostatics conductors

John Rennie

11:56 AM

OK?

user228700

Alright, um, suppose that under the effect of an electric field of extremely large magnitude, ionisation happens...

John Rennie

OK ...

user228700

In that case, the field inside the conductor will become larger in magnitude so as to cancel the external electric field, no..?

user228700

I'm trying to figure out what stops all of the electrons from being ripped away.

user228700

(Also, am I making sense? I doubt it...)

John Rennie

12:00 PM

The trouble is that it's a silly setup.

user228700

..?

John Rennie

You can imagine the piece of solid as a capacitor. Suppose the external field is applied left right so the polarisation is horizontal.

And draw a vertical line through the midpoint of the chunk of solid.

user228700

OK...

John Rennie

What the field does is move some of the electrons out of the left half and into the right half.

user228700

The external electric field, yes?

John Rennie

12:03 PM

So if we plot charge density as a function of horizontal distance it is lower on the left, slopes up to the right, passes through the average charge density at the midpoint then is higher on the right.

@Kaumudi.H External field yes.

user228700

@JohnRennie ...but this is not data acquired at equilibrium, no?

John Rennie

Equilibrium?

user228700

Oh, hang on...

user228700

Um, why would the charge density vary like that? If, due to the external electric field, electrons have been displaced from the left to the right, then the left-side has just as much charge density as the right-side, only opposite in sign, no..?

John Rennie

Ah OK, yes, I meant electron charge density. But yes, including the nuclei the charge density is zero at the midpoint, net positive in one half and net negative in the other half.

user228700

12:08 PM

Riight, OK..?

John Rennie

But long before the field moves any signfiicant proprtion of the electrons you'll have field emission of electron from the positive side and positive ions being torn off the solid on the negative side. So your material would fall to pieces.

You have to say - well lets consider some ideal system of rigidly held positive charges that can't fall to bits.

Which is a pretty artificial situation.

user228700

@JohnRennie Right, so it would fall to pieces, aha!

John Rennie

Yes, any real material would disintegrate long before more than a small fraction of the electrons were moved.

user228700

@JohnRennie Yes, I also don't see a point to discussing that artificial solution.

John Rennie

There's a standard exercise of calculating the electrostatic self energy for an array of positive ions resembling a solid with the outermost electrons removed. If you do the calculation the electrostatic self energy makes an atom bomb look tame.

user228700

12:13 PM

All this, of course, if the magnitude of electric field is so high that ionisation occurs, right? Otherwise, as always, the electric field inside the conductor will cancel the external electric field and all is well, yes?

John Rennie

If you consider an electron at the surface at the right end, the field is trying to pull it out of the solid and the net positive charge of the solid is trying to pull it back in.

When you first apply the field the solid has no charge and it's easy to pull electrons out - that's what field emission is.

But very quickly the net positive charge created by pulling electrons out increases the work function and the field emission stops.

user228700

@JohnRennie This statement made me jittery and I was in middle of typing a sentence beginning with "Whoa, what?!"...until I read the next statement :-P

John Rennie

So you ramp up the field strength, pull a few more electrons out, which increases the work function, and soon you need astronomically strong fields to get any more electrons out.

user228700

Pull them out? Aren't they just on the surface? When did they actually start coming out?

John Rennie

It's likely that any solid will have a work function i.e. you need to put in energy to get an electron out of the solid.

user228700

12:18 PM

Well, yes, but isn't it unlikely that you'd be able to pull out some of them? Won't the electric field being set up inside the material prevent this from happening?

John Rennie

I wonder if we're talking at cross purposes ...

If you start with no field and a neutral solid then to get the first electron out you just need enough energy to overcome the work function.

user228700

@JohnRennie I've been wondering about the same thing for awhile now...

user228700

@JohnRennie Unless the conductor in question is an exceedingly thing wafer of some metal, won't the work function keep on increasing as the electron moves toward the surface to come out?

John Rennie

>won't the work function keep on increasing?

Yes

user228700

So none of the electrons would, right?

John Rennie

12:22 PM

The second electron takes a bit more energy than the first because now you're working against a net charge of $+e$ in the solid.

user228700

But the first electron needn't have come out for the build-up of positive charge to start, right?

John Rennie

@Kaumudi.H at zero field the electrons are evenly distributed

So there are electrons at the right surface (we'll assume the ext field is +ve at the right)

As you apply a small field you cause a small charge density gradient. The electron concentration is slightly higher at the right edge and slightly lower at the left edge.

Ah, OK, you're asking if the forces on an electron at the right edge would balance so the net force is zero. In that case there should be no field emission.

user228700

@JohnRennie Yep, that is what I'm asking.

user228700

Phew. Alright then, that clears all of my confusions--even those that I didn't have at the beginning of this conversation :-)

user228700

Thank you!

John Rennie

12:26 PM

Hmmm, well there is field emission, so there must be something awry with the argument ...

user228700

@JohnRennie What? There is?

John Rennie

Field electron emission

Field electron emission (also known as field emission (FE) and electron field emission) is emission of electrons induced by an electrostatic field. The most common context is field emission from a solid surface into vacuum. However, field emission can take place from solid or liquid surfaces, into vacuum, air, a fluid, or any non-conducting or weakly conducting dielectric. The field-induced promotion of electrons from the valence to conduction band of semiconductors (the Zener effect) can also be regarded as a form of field emission. The terminology is historical because related phenomena of surface...

user228700

Right, that field emission does occur sans the disintegration of the material in question, yeah..? Hmm...

John Rennie

Yes. There are so many electrons ina solid that removing a few of them makes little difference to the integrity of the solid.

Field emission currents are generally tiny.

user228700

Perhaps just the electrons right at the surface are ejected...

user228700

12:30 PM

And then the electric field inside starts to become more significant until emission stops. After that point, electronic emission should be impossible (i.e: Without disintegration), no..? Is this true?

John Rennie

To be honest I'm not sure. I'd have to devote more brain cells to it than I have free at the moment.

user228700

That's OK, I will battle it out on my own! Thank you :-)

John Rennie

I'm not sure it's something you should waste valuable time on ...

user228700

I'm not sure either. I'll look up "Electron field emission" just for a bit and move on.

koolman

12:56 PM

@JohnRennie have you got that

Kenshin

Hi Guys and Gals

koolman

Hii @Kenshin

user228700

Oh, hey @Kenshin :-) Long time no see.

koolman

Long time

Kenshin

Sup Koolman

hey @Kaumudi.H

how is the study going

koolman

1:00 PM

Good

Kenshin

good

user228700

Been a bit bad as of late but going OK...

user228700

How are you?

Kenshin

I'm good thanks

Ok is ok

koolman

Where were you these days

Kenshin

1:00 PM

study isn't everything

where was I?

I was here in Aus

the land down under

koolman

I mean why you came after a long time

Kenshin

no reason

just checking in on everyone

what hv u been up to @Kaumudi.H

koolman

@JohnRennie are you there

user228700

@Kenshin Was really sick for awhile, studying, and nothing else, really. U?

Kenshin

aww sorry to hear u were sick

user228700

1:04 PM

Thanks :-)

Kenshin

u better now

user228700

Yep. All better. What about you, what have u been doing?

Kenshin

Ive been up to working, having fun and planning for future fun

user228700

Lol, that sounds like a regular day for a rich and famous person like you :-P

Kenshin

lol it does doesn' tit

user228700

1:06 PM

:-)

Kenshin

to visit

user228700

On a vacation?

Kenshin

yea

never been there so should be fun

user228700

Cool! :-) Have fun!

Kenshin

yeah that will be in 2 months

user228700

1:07 PM

Ohh, nice. I'll be 18 in two months, woot!

Kenshin

exciting

officially an adult

ur exam is then to hey

user228700

Yep yep! "Adult" and busy with exams.

heather

@DanielSank really, though, I think the real problem is Donald Trump, ban that and you're good

Kenshin

adults are always busy

user228700

Lol, yeah, I suppose :-P

Slereah

1:11 PM

Aaaaah

too much caffeine

reads math furiously

Kenshin

@Kaumudi.H what course do u wish tog et into?

user228700

@Kenshin Shall I get back to you on this later? I've got "Pull two all-nighters in a row" on my to-do list :-P

Kenshin

@Kaumudi.H lol k u know the brain needs sleep to consolidate memory

user228700

Yeah, yeah, I know the facts but I also know the truth about time--it's running out aaah! :-P

Kenshin

there's a crack in the universe

user228700

1:19 PM

@Kenshin: Dyou have time to answer a quick question..?

Kenshin

probs

wat is it

user228700

OK. So I'm still trying to understand why electric field inside a conductor is zero. (Let me finish!)

Kenshin

easy

user228700

Let me finish!

Kenshin

;p

0celo7

1:21 PM

@Kenshin good manga

Kenshin

@0celo7 you can talk!

yeah I like :D

user228700

In almost all arguments, it is stated that since charge can only reside on the surface of a conductor, it becomes clear that electric field inside it is zero, on application of Gauss's law.

Kenshin

not necessary to make that assumption

user228700

On the other hand, when I go looking for explanations as to why charges only reside on the surface of the conductor, it is stated that electric field inside it is zero, that's why.

user228700

Both arguments feed into each other.

user228700

1:23 PM

@Kenshin What to do then?

user228700

Um..?

user228700

Never mind, I think I've mixed together two different cases.

Kenshin

what happens if the charge is not on the outside

and there is a non-zero field

user228700

All the charge can't possibly be right at the centre...

Kenshin

I mean let us assume the charge is uniformly distributed

but free to move

the charges will move in response to the non-zero field

and will ultimately be forced out to the outside shell

make sense?

if you pack alot of electrons together, they are going to want to spread out as far as they can

user228700

1:28 PM

@Kenshin But this is under the influence of an external electric field, no?

Kenshin

until they are all on the shell

not an "external field"

If I pack lots of electrons (charge) of a kind together, they will disperse because of their own interaction on each other

until they are all maximally separated (i.e. at the shell)

user228700

Why would they stop at the surface?

Kenshin

because they can't move after that

we assume the charges are bound to the object (e.g. the excess electrons won't leave the metal)

they won't jump off the object

user228700

Are u speaking of a solid sphere?

Kenshin

but they will sepearate as far as they can

yea

user228700

1:30 PM

@Kenshin Oh, alright.

user228700

Anyway, it turned out that I'm mixing together too many different cases and looking for an answer.

user228700

Thanks :-)

Kenshin

np

user228700

Also, BTW, I don't think this particular case that u just mentioned would even be possible.

user228700

A solid sphere with all the charge concentrated at its centre? I think not...

Kenshin

1:33 PM

sure u can

why not

user228700

It's a solid, isn't it?

Kenshin

yep

so take all the electrons

and move them to the centre

user228700

Hmm. However, those electrons won't all reside on the surface.

Kenshin

nope

user228700

They'll re-distribute themselves to their previous config.

Kenshin

1:36 PM

but any excess ones will move to the surface

user228700

^ Right.

Kenshin

because we're talking about net charge

a sphere with a net charge

most eevery day objects don't have any net charge

user228700

@Kenshin Yup. OK. Thanks, again :-)

Kenshin

so normally you'd never have a sphere of net charge

but if you did, the net charge would move to the surface

and if yo manaaged to put it all in teh centre, it would quickly disperse back to the surface :)

user228700

@Kenshin Right.

Kenshin

1:42 PM

laterz all

user228700

@Kenshin Night :-) Enjoy that trip!

koolman

@Kenshin for how long you are here

user228700

@koolman He literally just left, lol.

koolman

:-(

Secret

Last night dream=I forgot

5

user228700

1:46 PM

x'D

Secret

[Also, random drawings of mine]

NB: Color is done via pixlr, otherwise pencil drawn

Sir Cumference

@Secret Dang, you can really draw

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