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Asked: May 11, 20262026-05-11T02:13:48+00:00 2026-05-11T02:13:48+00:00

I need to make a 2D convex hull function for a class assignment and

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I need to make a 2D convex hull function for a class assignment and I want a more robust test cases than the assignment provides. Does anyone known of a largish test cases (25 < n < 100) with the solution?

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  1. 2026-05-11T02:13:48+00:00Added an answer on May 11, 2026 at 2:13 am

    The Qhull package, including qhull, qconvex, and rbox should do the trick (I’ve used them for this exact purpose myself). For example, the qconvex examples page gives the following (tweaked for a larger test case):

    rbox 100 D3 | qconvex s o TO result 

    The above computes the 3-d convex hull of 100 random points, writes a summary to the console, and writes the points and facets to ‘result’.

    Here’s a sample test case for finding the 3-d convex hull of 40 points. The points are:

    0.3215426810286406 0.1678336189760208 -0.2203710966001927  0.2229772524190855 -0.4213242506806965 -0.1966818060695024  0.3688830163971363 -0.1831502133823468 -0.2056387967482571  -0.1712592515826777 -0.3542439228428937 0.2223876390814666  -0.3309556113844324 -0.370961861099081 0.2439994981922204   -0.1004397059794885 -0.09014152417903909 -0.008600084584765189  0.458374538420117 -0.09914027349943322 -0.2505798421339875      -0.4954086979808367 -0.3339869997780649 -0.3195065691317492     0.053091190339151 0.3036317017894533 0.1380056861210668 0.4615616439483703 0.4665423151725366 0.1766835406205464 -0.4797380864431505 0.0419809916447671 -0.4254776681079321 -0.003168473023146823 -0.2525299883005488 -0.27151530400991 -0.3577162826971303 -0.1375644040643837 -0.04494194644032229 -0.3392973838740004 0.4288679723896719 -0.01599531622230571 0.1667164640191164 0.003605551555385444 -0.4014989499947977 0.00714666676441833 0.1140243407469469 0.407090128778564 -0.03621271768232132 0.3728502838619522 0.4947140370446388 -0.3411871756810576 -0.3328629143842151 -0.4270033635450559 0.3544683273457627 -0.450828987127942 -0.0827870439577727 -0.4018510635028137 0.08917494033386464 -0.2367824197158054 0.3978697768392692 -0.002667689232777493 0.1641431727112673 -0.245701439441835 0.495905311308713 -0.3194406286994373 0.161352035739787 -0.1563404972258401 0.3852604361113724 0.07214279572678994 -0.4960366976410492 0.1112227161519441 0.3201855824516951 0.359077846965825 0.02136723140381946 0.1190541238701475 -0.05734495917087884 0.2032677509852384 0.3210853052521919 0.4807189479290684 0.4433501688235907 0.3862800354941562 0.2085496142586224 0.09336129957191763 0.1233572616459404 0.265491605052251 0.117400122450106 0.1438531872293476 -0.2594872752758556 -0.2026374435076839 0.2724846394476338 -0.3506708492996831 0.2750346518820475 -0.4926118841325975 -0.3279366743079728 0.3683135596740186 0.2459906458351674 0.3647787136629026 -0.1641662355178652 -0.141922976953837 -0.2994764654892278 -0.3009570467294725 -0.1850859398814719 0.2606059478228967 0.004159106876849283 -0.09789466634196664 -0.3156603563722785 -0.303610991503681 0.2100642609503719 -0.4499717643018549 0.3245569875692548 -0.1707163766685095 -0.2301452446078371 -0.05112823569320907 -0.312260808713977 -0.1674135249735914 0.2808831662692904 -0.1966306233747216 0.2291105671125563 -0.3387042454804333 

    The convex hull is composed of the following points:

    0.3215426810286406 0.1678336189760208 -0.2203710966001927  0.2229772524190855 -0.4213242506806965 -0.1966818060695024  0.458374538420117 -0.09914027349943322 -0.2505798421339875  -0.4954086979808367 -0.3339869997780649 -0.3195065691317492  0.4615616439483703 0.4665423151725366 0.1766835406205464  -0.4797380864431505 0.0419809916447671 -0.4254776681079321  -0.3392973838740004 0.4288679723896719 -0.01599531622230571  0.1667164640191164 0.003605551555385444 -0.4014989499947977  -0.03621271768232132 0.3728502838619522 0.4947140370446388  -0.3411871756810576 -0.3328629143842151 -0.4270033635450559  0.3544683273457627 -0.450828987127942 -0.0827870439577727  0.3978697768392692 -0.002667689232777493 0.1641431727112673  -0.245701439441835 0.495905311308713 -0.3194406286994373  0.161352035739787 -0.1563404972258401 0.3852604361113724  0.07214279572678994 -0.4960366976410492 0.1112227161519441  0.3210853052521919 0.4807189479290684 0.4433501688235907  0.2724846394476338 -0.3506708492996831 0.2750346518820475  -0.4926118841325975 -0.3279366743079728 0.3683135596740186  0.2459906458351674 0.3647787136629026 -0.1641662355178652  0.2100642609503719 -0.4499717643018549 0.3245569875692548 

    Here’s a 2D test case. Points:

    0.3215348546593775 0.03629583077160248  0.02402358131857918 -0.2356728797179394  0.04590851212470659 -0.4156409924995536  0.3218384001607433 0.1379850698988746    0.11506479756447 -0.1059521474930943     0.2622539999543261 -0.29702873322836     -0.161920957418085 -0.4055339716426413   0.1905378631228002 0.3698601009043493    0.2387090918968516 -0.01629827079949742 0.07495888748668034 -0.1659825110491202 0.3319341836794598 -0.1821814101954749 0.07703635755650362 -0.2499430638271785 0.2069242999022122 -0.2232970760420869 0.04604079532068295 -0.1923573186549892 0.05054295812784038 0.4754929463150845 -0.3900589168910486 0.2797829520700341 0.3120693385713448 -0.0506329867529059 0.01138812723698857 0.4002504701728471 0.009645149586391732 0.1060251100976254 -0.03597933197019559 0.2953639456959105 0.1818290866742182 0.001454397571696298 0.444056063372694 0.2502497166863175 -0.05301752458607545 -0.06553921621808712 0.4823896228171788 -0.4776170002088109 -0.3089226845734964 -0.06356112199235814 -0.271780741188471 0.1810810595574612 0.4293626522918815 0.2980897964891882 -0.004796652127799228 0.382663812844701 0.430695573269106 -0.2995073500084759 0.1799668387323309 -0.2973467472915973 0.4932166845474547 0.4928094162538735 -0.3521487911717489 0.4352656197131292 -0.4907368011686362 0.1865826865533206 -0.1047924716070224 -0.247073392148198 0.4374961861758457 -0.001606279519951237 0.003256207800708899 -0.2729194320486108 0.04310378203457577 0.4452604050238248 0.4916198379282093 -0.345391701297268 0.001675087028811806 0.1531837672490476 -0.4404289572876217 -0.2894855991839297 

    Hull:

    -0.161920957418085 -0.4055339716426413  0.05054295812784038 0.4754929463150845  0.4823896228171788 -0.4776170002088109  0.4932166845474547 0.4928094162538735  -0.3521487911717489 0.4352656197131292  -0.4907368011686362 0.1865826865533206  0.4916198379282093 -0.345391701297268  -0.4404289572876217 -0.2894855991839297  
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