Difference between revisions of "AoPS Wiki:Sandbox"

Revision as of 19:18, 12 April 2012

Welcome to the sandbox, a location to test your newfound wiki-editing abilities.

Please note that all contributions here may be deleted periodically and without warning.

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.

[hide] random code [/hide] $[asy] draw(Circle((0,0),13),linewidth(1)); draw((-12,-5)--(-5,-12)--(12,5)--cycle,linewidth(1)); draw((0,0)--(-5,-12),linewidth(1)+linetype("0 4")); dot((0,0)); label("T",(0,0),N); label("X",(-12,-5),W); label("Z",(-5,-12),S); label("Y",(12,5),E); [/asy]$ $[asy] size(4cm,4cm); pair A,B,C,D,E; A = (0,0); B = dir(108); C = B+dir(39); D = C+dir(-39); E = (1,0); draw(A--B--C--D--E--cycle,linewidth(1)); draw(A--C,linewidth(1)+linetype("0 4")); label("A",A,S); label("B",B,W); label("C",C,N); label("D",D,E); label("E",E,S); label("$108^\circ$",B,E); [/asy]$

$[asy] draw(Circle((0,0),23), linewidth(1.5)); dot((0,0)); [/asy]$

$[asy] draw(Circle((0,0),10), linewidth(1.5)); dot((0,0)); label("O",(1,1)); draw((0,0)--(10,0),linewidth(1.5)); label("r",(5,1)); [/asy]$

$[asy] draw((0,5)--(0,0)); draw((0,0)--(25,0)); draw((0,5)--(25,0)); label("r",(-1,3)); [/asy]$

$[asy] dot((0,0)); dot((5,12)); line((0,0)--(5,12),red); [/asy]$

$[asy] dot((0,0)); dot((0,2)); dot((0,4)); dot((0,6)); dot((2,0)); dot((2,2)); dot((2,4)); dot((2,6)); dot((4,0)); dot((4,2)); dot((4,4)); dot((4,6)); dot((6,0)); dot((6,2)); dot((6,4)); dot((6,6)); draw((0,0)--(0,2),red); draw((0,2)--(2,2),red); draw((2,2)--(0,4),red); draw((0,4)--(0,6),red); draw((0,6)--(2,6),red); draw((2,6)--(2,4),red); draw((2,4)--(4,6),red); draw((4,6)--(6,6),red); draw((6,6)--(6,4),red); draw((6,4)--(4,4),red); draw((4,4)--(6,2),red); draw((6,2)--(6,0),red); draw((6,0)--(4,0),red); draw((4,0)--(4,2),red); draw((4,2)--(2,0),red); draw((2,0)--(0,0),red); [/asy]$

$[asy] dot((0,0)); dot((0,2)); dot((0,4)); dot((0,6)); dot((2,0)); dot((2,2)); dot((2,4)); dot((2,6)); dot((4,0)); dot((4,2)); dot((4,4)); dot((4,6)); dot((6,0)); dot((6,2)); dot((6,4)); dot((6,6)); dot((0,8)); dot((2,8)); dot((4,8)); dot((6,8)); dot((8,0)); dot((8,2)); dot((8,4)); dot((8,6)); dot((8,8)); draw((6,0)--(0,2),red); draw((0,0)--(0,2),blue); draw((0,0)--(6,0),blue); draw((0,2)--(2,8),red); draw((0,2)--(0,8),blue); draw((0,8)--(2,8),blue); draw((2,8)--(8,6),red); draw((2,8)--(8,8),blue); draw((8,8)--(8,6),blue); draw((8,6)--(6,0),red); draw((6,0)--(8,0),blue); draw((8,6)--(8,0),blue); [/asy]$

$[asy] dot((0,1)); dot((3.5,8)); dot((2,5)); draw((0,1)--(3.5,8)); [/asy]$

$[asy] dot((0,0)); dot((0,1)); dot((7,0)); draw((0,0)--(7,1)); draw((0,1)--(7,1)); draw((7,0)--(7,1)); [/asy]$

$[asy] /* File unicodetex not found. */ /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */ import graph; size(11.58cm); real labelscalefactor = 0.5; /* changes label-to-point distance */ pen dps = linewidth(0.7) + fontsize(10); defaultpen(dps); /* default pen style */ pen dotstyle = black; /* point style */ real xmin = -4.3, xmax = 7.28, ymin = -2.6, ymax = 6.3; /* image dimensions */ pen zzttqq = rgb(0.6,0.2,0); pen qqwuqq = rgb(0,0.39,0); draw((-2.82,2.6)--(-1.58,-0.9)--(3.5,-1.04)--(2.46,3.18)--(0.6,0.68)--(-0.88,4.78)--(-4.26,3.9)--cycle, zzttqq); draw(arc((-0.88,4.78),0.6,-165.41,-70.15)--(-0.88,4.78)--cycle, qqwuqq); draw(arc((0.6,0.68),0.6,109.85,413.35)--(0.6,0.68)--cycle, qqwuqq); draw(arc((3.5,-1.04),0.6,103.84,178.42)--(3.5,-1.04)--cycle, qqwuqq); /* draw figures */ draw((-2.82,2.6)--(-1.58,-0.9), zzttqq); draw((-1.58,-0.9)--(3.5,-1.04), zzttqq); draw((3.5,-1.04)--(2.46,3.18), zzttqq); draw((2.46,3.18)--(0.6,0.68), zzttqq); draw((0.6,0.68)--(-0.88,4.78), zzttqq); draw((-0.88,4.78)--(-4.26,3.9), zzttqq); draw((-4.26,3.9)--(-2.82,2.6), zzttqq); draw((xmin, 22.25*xmin + 13.09)--(xmax, 22.25*xmax + 13.09)); /* line */ draw((xmin, -0.49*xmin + 1.27)--(xmax, -0.49*xmax + 1.27)); /* line */ draw((xmin, 5.13*xmin + 17.06)--(xmax, 5.13*xmax + 17.06)); /* line */ /* dots and labels */ dot((-2.82,2.6),dotstyle); label("$A$", (-2.74,2.72), NE * labelscalefactor); dot((-1.58,-0.9),dotstyle); label("$B$", (-1.5,-0.78), NE * labelscalefactor); dot((-1.66,4.58),dotstyle); label("$H$", (-1.58,4.7), NE * labelscalefactor); dot((-2.48,4.36),dotstyle); label("$I$", (-2.4,4.48), NE * labelscalefactor); dot((-0.44,3.3),dotstyle); label("$Z$", (-0.36,3.42), NE * labelscalefactor); dot((-0.52,1.52),dotstyle); label("$W$", (-0.44,1.64), NE * labelscalefactor); dot((2.4,0.1),dotstyle); label("$Z_1$", (2.48,0.22), NE * labelscalefactor); label("$95.26^\circ$", (-1.6,4.28), NE * labelscalefactor,qqwuqq); label("$303.5^\circ$", (0.06,0.34), NE * labelscalefactor,qqwuqq); label("$74.58^\circ$", (2.68,-0.9), NE * labelscalefactor,qqwuqq); clip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle); /* end of picture */ [/asy]$

test 89810312

<hide>hidden text</hide>

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

Test

$[asy] dot((0,0)); dot((1,0)); dot((0,1)); dot((1,1)); dot((0,2)); dot((2,0)); dot((1,2)); dot((2,1)); dot((2,2)); dot((3,0)); dot((3,1)); dot((3,2)); dot((3,3)); dot((2,3)); dot((1,3)); dot((0,3)); [/asy]$

Test 3

$[asy] dot((0,0)); dot((0,4)); dot((3,4444)); dot((3,0)); dot((1.5,2)); draw((0,0)--(3,4444),green); draw((0,4)--(3,0),green); draw((0,0)--(0,4),red); draw((0,4)--(3,4),red); draw((3,0)--(3,4),red); draw((3,0)--(0,0),red); [/asy]$

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