|
|
| (112 intermediate revisions by 25 users not shown) |
| Line 1: |
Line 1: |
| | {{AoPSWiki:Sandbox/header}} <!-- Please do not delete this line --> | | {{AoPSWiki:Sandbox/header}} <!-- Please do not delete this line --> |
| − | In the computer world, a '''sandbox''' is a place to test and experiment -- essentially, it's a place to play.
| |
| − |
| |
| − | This is the AoPSWiki Sandbox. Feel free to experiment here.
| |
| − |
| |
| − | Warning: anything you place here is subject to deletion without notice.
| |
| − |
| |
| − | [''This was deleted due to its inappropriateness.'']
| |
| − |
| |
| − | ==Test 1==
| |
| − |
| |
| − | <asy>
| |
| − |
| |
| − | dot((0,0));
| |
| − |
| |
| − | dot((1,3));
| |
| − | dot((0,3));
| |
| − | dot((0,4));
| |
| − | dot((1,4));
| |
| − | dot((2,4));
| |
| − | dot((3,4));
| |
| − | dot((4,4));
| |
| − | dot((4,3));
| |
| − | dot((4,2));
| |
| − | dot((4,1));
| |
| − | dot((4,0));
| |
| − | dot((5,0));
| |
| − | dot((5,1));
| |
| − | dot((5,2));
| |
| − | dot((5,3));
| |
| − | dot((5,4));
| |
| − | dot((5,5));
| |
| − | dot((4,5));
| |
| − | dot((3,5));
| |
| − | dot((2,5));
| |
| − | dot((1,5));
| |
| − | dot((0,5));
| |
| − | dot((0,6));
| |
| − | dot((1,6));
| |
| − | dot((2,6));
| |
| − | dot((3,6));
| |
| − | dot((4,6));
| |
| − | dot((5,6));
| |
| − | dot((6,6));
| |
| − | dot((6,5));
| |
| − | dot((6,4));
| |
| − | dot((6,3));
| |
| − | dot((6,2));
| |
| − | dot((6,1));
| |
| − | dot((6,0));
| |
| − | dot((7,0));
| |
| − | dot((7,1));
| |
| − | dot((7,2));
| |
| − | dot((7,3));
| |
| − | dot((7,4));
| |
| − | dot((7,5));
| |
| − | dot((7,6));
| |
| − | dot((7,7));
| |
| − | dot((6,7));
| |
| − | dot((5,7));
| |
| − | dot((4,7));
| |
| − | dot((3,7));
| |
| − | dot((2,7));
| |
| − | dot((1,7));
| |
| − | dot((0,7));
| |
| − | draw((0,1)--(1,7),pink);
| |
| − | draw((1,7)--(7,6),red);
| |
| − | draw((7,6)--(6,0),red);
| |
| − | draw((6,0)--(0,1),pink);
| |
| − | draw((2,7)--(7,5),blue);
| |
| − | draw((0,2)--(2,7),blue);
| |
| − | draw((5,0)--(0,2),blue);
| |
| − | draw((5,0)--(7,5),red);
| |
| − | draw((3,7)--(7,4),green);
| |
| − | draw((7,4)--(4,0),black);
| |
| − | draw((4,0)--(0,3),green);
| |
| − | draw((0,3)--(3,7),pink);
| |
| − | draw((4,7)--(7,3),green);
| |
| − | draw((7,3)--(3,0),green);
| |
| − | draw((3,0)--(0,4),red);
| |
| − | draw((0,4)--(4,7),green);
| |
| − | draw((5,7)--(7,2),black);
| |
| − | draw((7,2)--(2,0),black);
| |
| − | draw((2,0)--(0,5),orange);
| |
| − | draw((0,5)--(5,7),black);
| |
| − | draw((0,6)--(1,0),green);
| |
| − | draw((1,0)--(7,1),brown);
| |
| − | draw((7,1)--(6,7),brown);
| |
| − | draw((0,6)--(6,7),brown);
| |
| − |
| |
| − | </asy>
| |
| − | Hi there ''yall
| |
| − |
| |
| − | ==Test 2==
| |
| − | <b>Test</b>
| |
| − |
| |
| − | <asy>
| |
| − |
| |
| − | dot((50,1));
| |
| − | dot((2,1));
| |
| − | dot((3,1));
| |
| − | dot((4,3));
| |
| − | dot((5,3));
| |
| − | dot((6,3));
| |
| − | dot((7,3));
| |
| − | dot((1,4));
| |
| − | dot((2,4));
| |
| − | dot((3,4));
| |
| − | dot((4,4));
| |
| − | dot((5,4));
| |
| − | dot((6,4));
| |
| − | dot((7,4));
| |
| − | dot((1,5));
| |
| − | dot((2,5));
| |
| − | dot((3,5));
| |
| − | dot((4,5));
| |
| − | dot((5,5));
| |
| − | dot((6,5));
| |
| − | dot((7,5));
| |
| − | dot((1,6));
| |
| − | dot((2,6));
| |
| − | dot((3,6));
| |
| − | dot((4,6));
| |
| − | dot((5,6));
| |
| − | dot((6,6));
| |
| − | dot((7,6));
| |
| − | dot((1,7));
| |
| − | dot((2,7));
| |
| − | dot((3,7));
| |
| − | dot((4,7));
| |
| − | dot((5,7));
| |
| − | dot((6,7));
| |
| − | dot((7,7));
| |
| − | draw((1,1)--(1,3)--(3,3),red);
| |
| − | draw((1,4)--(3,4)--(3,2),yellow);
| |
| − | draw((4,4)--(4,2)--(2,2),green);
| |
| − | draw((4,1)--(2,1)--(2,3),blue);
| |
| − | draw((7,1)--(7,3)--(5,3),red);
| |
| − | draw((7,4)--(5,4)--(5,2),yellow);
| |
| − | draw((4,2)--(6,2),green);
| |
| − | draw((4,1)--(6,1)--(6,3),blue);
| |
| − | draw((1,7)--(1,5)--(3,5),red);
| |
| − | draw((3,4)--(3,6),yellow);
| |
| − | draw((4,4)--(4,6)--(2,6),green);
| |
| − | draw((4,7)--(2,7)--(2,5),blue);
| |
| − | draw((7,7)--(7,5)--(5,5),red);
| |
| − | draw((5,4)--(5,6),yellow);
| |
| − | draw((4,6)--(6,6),green);
| |
| − | draw((4,7)--(6,7)--(6,5),blue);
| |
| − | </asy>
| |
| − |
| |
| − | This is what epicness looks like.
| |
| − |
| |
| − | BUT JEFFCHEN WOULDN'T KNOW
| |
| − |
| |
| − |
| |
| − | <asy2>unitsize(33);pair A,B,C,D,I;A=origin; B=1.6*right; C=1.6*dir(60); D=0.8*right;
| |
| − | I=incenter(A,B,C); draw(A--B--C--cycle);draw(incircle(A,B,C)); draw(C--D);
| |
| − | </asy2>
| |
| − |
| |
| − | ==Test 3==
| |
| − | <asy>
| |
| − | dot((0,0));
| |
| − | dot((0,4));
| |
| − | dot((3,4444));
| |
| − | dot((3,0));
| |
| − | dot((1.5,2));
| |
| − | draw((0,0)--(3,4444),pink);
| |
| − | draw((0,4)--(3,0),purple);
| |
| − | draw((0,0)--(0,4),green);
| |
| − | draw((0,4)--(3,4),blue);
| |
| − | draw((3,0)--(3,4),yellow);
| |
| − | draw((3,0)--(0,0),red);
| |
| − | </asy>
| |
| − |
| |
| − | Test 4.0000000000000000000000000000000000000000000000000000000000000000000
| |
| − |
| |
| − |
| |
| − | <math>\binom{\binom{3}{2}}{/binom{6}{2}}</math>
| |
| − | <math>\sqrt{5}=50</math>
| |
| − | HELLO WORLD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
| |
| − |
| |
| − | ==Test 5==
| |
| − |
| |
| − | n1000 is editing this.
| |
| − | yay! (Made better by AoPS)
| |
| − |
| |
| − | <asy>
| |
| − | pair A,B,C,D,E,F,G,H;
| |
| − |
| |
| − | A=(1,0);
| |
| − | B=(2,0);
| |
| − | C=(3,1);
| |
| − | D=(3,2);
| |
| − | E=(2,3);
| |
| − | F=(1,3);
| |
| − | G=(0,2);
| |
| − | H=(0,1);
| |
| − |
| |
| − | path octagon,square1,square2,star,bow1,bow2;
| |
| − | octagon=(A--B--C--D--E--F--G--H--cycle);
| |
| − | square1=(A--C--E--G--cycle);
| |
| − | square2=(B--D--F--H--cycle);
| |
| − | star=(A--D--G--B--E--H--C--F--cycle);
| |
| − | bow1=(A--B--F--E--cycle);
| |
| − | bow2=(C--D--H--G--cycle);
| |
| − |
| |
| − | path[] all;
| |
| − | all=(octagon^^square1^^square2^^star^^bow1^^bow2);
| |
| − |
| |
| − | draw(all);
| |
| − |
| |
| − | fill(octagon,pink);
| |
| − | fill((bow1)^^(bow2),purple);
| |
| − | fill(all,evenodd+blue);
| |
| − |
| |
| − | </asy>
| |
| − |
| |
| − |
| |
| − | Who loves me?
| |
| − | only <math>x^2</math>
| |
| − |
| |
| − | ==Test 6==
| |
| − |
| |
| − | NeoMathematicalKid was here. And he broke the line of asy diagrams.
| |
| − |
| |
| − | <math>\begin{align*}\sum^4_{k=1}\left(\sum^k_{j=1}kj\right)&=\sum^4_{k=1}\left(k\sum^k_{j=1}j\right)\\
| |
| − | &=\sum^4_{k=1}\left(k(1+2+\cdots +k)\right)\\
| |
| − | &=\sum^4_{k=1}(k+2k+\cdots +k^2)\\
| |
| − | &=(1)+(2+4)+(3+6+9)+(4+8+12+16)\\
| |
| − | &=1+6+18+40\\
| |
| − | &=\boxed{65}
| |
| − | \end{align*}</math>
| |
| − | notice how the square root signs are becoming progressively less slanted...
| |
| − | What is <math>\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{e^{1\pi\pi\sqrtpi}}}}}}+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{20}}}}}}</math>?!?! I got carried away.
| |
| − |
| |
| − | ==Test 7==
| |
| − | <math>\text{Use a calculator:}</math>
| |
| − |
| |
| − | <math>\sum^{9}_{k=0} \pi-42</math>!
| |
| − |
| |
| − | silentazn's trillion dollar question
| |
| − |
| |
| − | bobthesmartypants's answer: There is not enough space in the observable universe to write this number down, so there s no valid answer.
| |
| − | my answer: There's not enough matter in the observable universe to store this number in memory, so you don't know the valid answer.
| |
