Difference between revisions of "AoPS Wiki:Sandbox"

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{{AoPSWiki:Sandbox/header}} <!-- Please do not delete this line -->
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=A=
In the computer world, a '''sandbox''' is a place to test and experiment -- essentially, it's a place to play.
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==B==
 
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===C===
This is the AoPSWiki Sandbox.  Feel free to experiment here.
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====D====
 
 
Warning: anything you place here is subject to deletion without notice.
 
 
 
== Test 0==
 
 
 
What is <math> \frac{(x+y)(2x-y)(y-x)^{2}}{(x-y)(x^{2}-y^{2})(2x-y)} ???</math>
 
 
 
==Test 1==
 
 
 
<asy>
 
 
 
dot((0,0));
 
dot((1,0));
 
dot((0,1));
 
dot((1,1));
 
dot((2,0));
 
dot((0,2));
 
dot((1,2));
 
dot((2,1));
 
dot((2,2));
 
dot((3,0));
 
dot((3,1));
 
dot((3,2));
 
dot((3,3));
 
dot((2,3));
 
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),red);
 
draw((1,7)--(7,6),red);
 
draw((7,6)--(6,0),red);
 
draw((6,0)--(0,1),red);
 
draw((2,7)--(7,5),blue);
 
draw((0,2)--(2,7),blue);
 
draw((5,0)--(0,2),blue);
 
draw((5,0)--(7,5),blue);
 
draw((3,7)--(7,4),yellow);
 
draw((7,4)--(4,0),yellow);
 
draw((4,0)--(0,3),yellow);
 
draw((0,3)--(3,7),yellow);
 
draw((4,7)--(7,3),green);
 
draw((7,3)--(3,0),green);
 
draw((3,0)--(0,4),green);
 
draw((0,4)--(4,7),green);
 
draw((5,7)--(7,2),black);
 
draw((7,2)--(2,0),black);
 
draw((2,0)--(0,5),black);
 
draw((0,5)--(5,7),black);
 
draw((0,6)--(1,0),purple);
 
draw((1,0)--(7,1),purple);
 
draw((7,1)--(6,7),purple);
 
draw((0,6)--(6,7),purple);
 
 
 
</asy>
 
 
 
==Test 2==
 
<b>Test</b>
 
 
 
<asy>
 
 
 
dot((0,0));
 
dot((1,0));
 
dot((0,1));
 
dot((1,1));
 
dot((0,2));
 
dot((2,0));
 
dot((1,2));
 
dot((2,1));
 
dot((2,2));
 
dot((3,0));
 
dot((3,1));
 
dot((3,2));
 
dot((3,3));
 
dot((2,3));
 
dot((1,3));
 
dot((0,3));
 
 
 
</asy>
 
 
 
==Test 3==
 
<asy>
 
dot((0,0));
 
dot((0,4));
 
dot((3,4444));
 
dot((3,0));
 
dot((1.5,2));
 
draw((0,0)--(3,4444),green);
 
draw((0,4)--(3,0),green);
 
draw((0,0)--(0,4),red);
 
draw((0,4)--(3,4),red);
 
draw((3,0)--(3,4),red);
 
draw((3,0)--(0,0),red);
 
</asy>
 

Latest revision as of 15:33, 13 June 2023

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