// gyroid-bdry.inc

// Coordinates along edge of gyroid hexagon edge from (0,0,0) to (0.5,1.0,0.5)
// evenly spaced in gauss map.
// 1st index: number N of boundary intervals
// 2nd index: index of point, 1 to N+1
//
parameter max_edge_parts = 128
define gyroid_bdrypts real[129][129][3] =
{  
  {{0,0,0}},

  {{0, 0, 0}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, 
  {{0, 0, 0}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.2409017926088665, 0.3231648941794262, 
 
    0.0658097987584060}, {0.434190201241594, 0.676835105820574, 
 
    0.259098207391134}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, 
  {{0, 0, 0}, 
 
   {0.1816533249711408, 0.2385780607833497, 0.03656175742160143}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.463438242578399, 0.761421939216650, 0.3183466750288592}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.1455343094544548, 0.1893130972479415, 
 
    0.02323093829381046}, {0.286640859348138, 0.392974281423724, 
 
    0.0955269694338691}, {0.4044730305661309, 0.6070257185762758, 
 
    0.2133591406518625}, {0.4767690617061895, 0.8106869027520585, 
 
    0.3544656905455452}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, 
  {{0, 0, 0}, 
 
   {0.1213413787083179, 0.15703055483288393, 0.01606318379149952}, 
 
   {0.2409017926088665, 0.3231648941794262, 0.0658097987584060}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.434190201241594, 0.676835105820574, 0.259098207391134}, 
 
   {0.4839368162085005, 0.8429694451671161, 0.3786586212916821}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.1040298219511005, 0.13421217625143986, 
 
    0.01176937628547702}, {0.2072397347577387, 0.2744432128609166, 
 
    0.04801326098795776}, {0.3055351222316948, 0.4233570145473585, 
 
    0.1099139329431690}, {0.3900860670568310, 0.5766429854526415, 
 
    0.1944648777683052}, {0.451986739012042, 0.725556787139083, 
 
    0.292760265242261}, {0.4882306237145230, 0.8657878237485601, 
 
    0.3959701780488995}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, {{0, 0, 0}, 
 
   {0.0910357884147343, 0.11721405691584469, 0.00899453510827749}, 
 
   {0.1816533249711408, 0.2385780607833497, 0.03656175742160143}, 
 
   {0.269727068882209, 0.3665982239972443, 0.0837380423168297}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.416261957683170, 0.6334017760027557, 0.2302729311177912}, 
 
   {0.463438242578399, 0.761421939216650, 0.3183466750288592}, 
 
   {0.4910054648917225, 0.8827859430841553, 0.4089642115852657}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.0809252728565615, 0.10405416309107530, 
 
    0.00709776463948532}, {0.1616195444571786, 0.2110773026369663, 
 
    0.02877001824184456}, {0.2409017926088665, 0.3231648941794262, 
 
    0.0658097987584060}, {0.3158007581171268, 0.4403245557139408, 
 
    0.1183120985684066}, {0.3816879014315934, 0.5596754442860592, 
 
    0.1841992418828732}, {0.434190201241594, 0.676835105820574, 
 
    0.259098207391134}, {0.4712299817581554, 0.788922697363034, 
 
    0.3383804555428214}, {0.4929022353605147, 0.8959458369089247, 
 
    0.4190747271434385}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, {{0, 0, 0}, 
 
   {0.0728350918159407, 0.09356065491735925, 0.005743899259628534}, 
 
   {0.1455343094544548, 0.1893130972479415, 0.02323093829381046}, 
 
   {0.2174021256287508, 0.2889522156094858, 0.05304859659226009}, 
 
   {0.286640859348138, 0.392974281423724, 0.0955269694338691}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.4044730305661309, 0.6070257185762758, 0.2133591406518625}, 
 
   {0.446951403407740, 0.711047784390514, 0.282597874371249}, 
 
   {0.4767690617061895, 0.8106869027520585, 0.3544656905455452}, 
 
   {0.4942561007403715, 0.9064393450826408, 0.4271649081840593}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.0662150076348890, 0.08499566212670813, 
 
    0.004743763443706399}, {0.1323459128389895, 0.1716528879767586, 
 
    0.01915278470845225}, {0.1979625287709259, 0.2613341754804161, 
 
    0.04366148772575705}, {0.2619373896319069, 0.3546837444058828, 
 
    0.0786330450849809}, {0.3222384551888951, 0.4511477562196345, 
 
    0.1238016086183585}, {0.3761983913816415, 0.5488522437803655, 
 
    0.1777615448111049}, {0.421366954915019, 0.645316255594117, 
 
    0.2380626103680931}, {0.456338512274243, 0.738665824519584, 
 
    0.302037471229074}, {0.480847215291548, 0.8283471120232414, 
 
    0.3676540871610105}, {0.4952562365562936, 0.9150043378732919, 
 
    0.4337849923651110}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, {{0, 0, 0}, 
 
   {0.0606978370497898, 0.07787110493735171, 0.003983982728894934}, 
 
   {0.1213413787083179, 0.15703055483288393, 0.01606318379149952}, 
 
   {0.1816533249711408, 0.2385780607833497, 0.03656175742160143}, 
 
   {0.2409017926088665, 0.3231648941794262, 0.0658097987584060}, 
 
   {0.2977240775572696, 0.4106701060022044, 0.1038033752657797}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.3961966247342203, 0.5893298939977956, 0.2022759224427304}, 
 
   {0.434190201241594, 0.676835105820574, 0.259098207391134}, 
 
   {0.463438242578399, 0.761421939216650, 0.3183466750288592}, 
 
   {0.4839368162085005, 0.8429694451671161, 0.3786586212916821}, 
 
   {0.4960160172711051, 0.9221288950626483, 0.4393021629502102}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.05602922585213594, 0.07185108228456980, 
 
    0.003393239855064844}, {0.1120221392252818, 0.14472061169870168, 
 
    0.01366633310041855}, {0.1677936075116160, 0.2195032884761447, 
 
    0.03106427401087245}, {0.2228534027721965, 0.2968032529780876, 
 
    0.0558677976441843}, {0.276270554095749, 0.376717207420639, 
 
    0.0881821410457275}, {0.3266495671732128, 0.4586503320910206, 
 
    0.1276664865483438}, {0.3723335134516562, 0.5413496679089794, 
 
    0.1733504328267872}, {0.4118178589542725, 0.6232827925793608, 
 
    0.2237294459042509}, {0.444132202355816, 0.703196747021912, 
 
    0.277146597227804}, {0.4689357259891275, 0.780496711523855, 
 
    0.3322063924883840}, {0.486333666899581, 0.8552793883012983, 
 
    0.3879778607747182}, {0.4966067601449352, 0.9281489177154302, 
 
    0.4439707741478641}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, {{0, 0, 0}, 
 
   {0.05202742414740609, 0.06669676749929300, 0.002924845098943524}, 
 
   {0.1040298219511005, 0.13421217625143986, 0.01176937628547702}, 
 
   {0.1558798226163904, 0.2032809409113273, 0.02672133344153633}, 
 
   {0.2072397347577387, 0.2744432128609166, 0.04801326098795776}, 
 
   {0.2574604825234694, 0.3478979994433525, 0.0757880554562953}, 
 
   {0.3055351222316948, 0.4233570145473585, 0.1099139329431690}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.3900860670568310, 0.5766429854526415, 0.1944648777683052}, 
 
   {0.424211944543705, 0.652102000556647, 0.2425395174765306}, 
 
   {0.451986739012042, 0.725556787139083, 0.292760265242261}, 
 
   {0.4732786665584637, 0.7967190590886727, 0.3441201773836096}, 
 
   {0.4882306237145230, 0.8657878237485601, 0.3959701780488995}, 
 
   {0.4970751549010565, 0.9333032325007070, 0.4479725758525939}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.04855911556182760, 0.06223365781692437, 
 
    0.002547189481210017}, {0.0971005311317400, 0.12513498763290946, 
 
    0.01024222302514034}, {0.1455343094544548, 0.1893130972479415, 
 
    0.02323093829381046}, {0.1936219784595444, 0.2552429826313243, 
 
    0.04170412950041994}, {0.2409017926088665, 0.3231648941794262, 
 
    0.0658097987584060}, {0.286640859348138, 0.392974281423724, 
 
    0.0955269694338691}, {0.3298597260127967, 0.4641564451365753, 
 
    0.1305336015343907}, {0.3694663984656093, 0.5358435548634247, 
 
    0.1701402739872033}, {0.4044730305661309, 0.6070257185762758, 
 
    0.2133591406518625}, {0.434190201241594, 0.676835105820574, 
 
    0.259098207391134}, {0.458295870499580, 0.744757017368676, 
 
    0.306378021540456}, {0.4767690617061895, 0.8106869027520585, 
 
    0.3544656905455452}, {0.4897577769748597, 0.8748650123670905, 
 
    0.4028994688682600}, {0.4974528105187900, 0.9377663421830756, 
 
    0.4514408844381724}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, {{0, 0, 0}, 
 
   {0.04552429585285252, 0.05833125887239149, 0.002238253704325222}, 
 
   {0.0910357884147343, 0.11721405691584469, 0.00899453510827749}, 
 
   {0.1364695176437443, 0.1771580487456745, 0.02038360613196478}, 
 
   {0.1816533249711408, 0.2385780607833497, 0.03656175742160143}, 
 
   {0.2262523932573687, 0.3017237420398467, 0.0576681336169729}, 
 
   {0.269727068882209, 0.3665982239972443, 0.0837380423168297}, 
 
   {0.3113313223346627, 0.4328946370295245, 0.1146031394149180}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.3853968605850820, 0.5671053629704755, 0.1886686776653373}, 
 
   {0.416261957683170, 0.6334017760027557, 0.2302729311177912}, 
 
   {0.442331866383027, 0.698276257960153, 0.273747606742631}, 
 
   {0.463438242578399, 0.761421939216650, 0.3183466750288592}, 
 
   {0.4796163938680352, 0.8228419512543255, 0.3635304823562557}, 
 
   {0.4910054648917225, 0.8827859430841553, 0.4089642115852657}, 
 
   {0.497761746295675, 0.9416687411276085, 0.4544757041471475}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.04284648208119509, 0.05489001893780635, 
 
    0.001982316340823183}, {0.0856835181347418, 0.11024081594422308, 
 
    0.00796198705719528}, {0.1284632453277845, 0.1664825636561813, 
 
    0.01803041605364578}, {0.1710589192045454, 0.2239768604738060, 
 
    0.03231593922590156}, {0.2132234150640971, 0.2829666354859465, 
 
    0.05094368728986825}, {0.2545542625811642, 0.3435162285480279, 
 
    0.0739753021401939}, {0.2944815986622085, 0.4054570389223291, 
 
    0.1013351048416162}, {0.3323001225173808, 0.4683690933753187, 
 
    0.1327445933819372}, {0.3672554066180628, 0.5316309066246813, 
 
    0.1676998774826192}, {0.3986648951583838, 0.5945429610776709, 
 
    0.2055184013377915}, {0.426024697859806, 0.656483771451972, 
 
    0.245445737418836}, {0.449056312710132, 0.717033364514054, 
 
    0.286776584935903}, {0.467684060774098, 0.7760231395261940, 
 
    0.3289410807954546}, {0.481969583946354, 0.8335174363438187, 
 
    0.3715367546722155}, {0.4920380129428047, 0.8897591840557769, 
 
    0.4143164818652582}, {0.4980176836591768, 0.9451099810621936, 
 
    0.4571535179188049}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, {{0, 0, 0}, 
 
   {0.04046618242331594, 0.05183266153302549, 0.001767909057127902}, 
 
   {0.0809252728565615, 0.10405416309107530, 0.00709776463948532}, 
 
   {0.1213413787083179, 0.15703055483288393, 0.01606318379149952}, 
 
   {0.1616195444571786, 0.2110773026369663, 0.02877001824184456}, 
 
   {0.2015743734990336, 0.2664229710460702, 0.04532831508329906}, 
 
   {0.2409017926088665, 0.3231648941794262, 0.0658097987584060}, 
 
   {0.279163841482855, 0.381225067541564, 0.0901936076677364}, 
 
   {0.3158007581171268, 0.4403245557139408, 0.1183120985684066}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.3816879014315934, 0.5596754442860592, 0.1841992418828732}, 
 
   {0.4098063923322636, 0.6187749324584364, 0.2208361585171450}, 
 
   {0.434190201241594, 0.676835105820574, 0.259098207391134}, 
 
   {0.454671684916701, 0.733577028953930, 0.298425626500966}, 
 
   {0.4712299817581554, 0.788922697363034, 0.3383804555428214}, 
 
   {0.4839368162085005, 0.8429694451671161, 0.3786586212916821}, 
 
   {0.4929022353605147, 0.8959458369089247, 0.4190747271434385}, 
 
   {0.4982320909428721, 0.9481673384669745, 0.4595338175766841}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.03833642669823595, 0.04909827940786780, 
 
    0.001586506667771000}, {0.0766674452068491, 0.09852765786085679, 
 
    0.00636713769229618}, {0.1149657133258992, 0.14860197804806677, 
 
    0.01440179754160849}, {0.1531589686991515, 0.1995971036557002, 
 
    0.02577827112402986}, {0.1911060360408539, 0.2517241412247200, 
 
    0.04059225519813490}, {0.2285742640107120, 0.3050963806390795, 
 
    0.0589169244193149}, {0.2652244195432451, 0.3596943546795030, 
 
    0.0807629923890397}, {0.3006124963309036, 0.4153399886979733, 
 
    0.1060355899889191}, {0.3342177541832236, 0.4716959982533673, 
 
    0.1345013029584009}, {0.3654986970415991, 0.5283040017466327, 
 
    0.1657822458167764}, {0.3939644100110809, 0.5846600113020267, 
 
    0.1993875036690964}, {0.419237007610960, 0.640305645320497, 
 
    0.2347755804567549}, {0.441083075580685, 0.694903619360921, 
 
    0.271425735989288}, {0.459407744801865, 0.748275858775280, 
 
    0.308893963959146}, {0.4742217288759701, 0.8004028963442998, 
 
    0.346841031300849}, {0.4855982024583915, 0.8513980219519332, 
 
    0.3850342866741008}, {0.4936328623077038, 0.9014723421391432, 
 
    0.4233325547931509}, {0.4984134933322290, 0.9509017205921322, 
 
    0.4616635733017641}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, {{0, 0, 0}, 
 
   {0.03641963699546135, 0.04663821450622754, 0.001431664942345147}, 
 
   {0.0728350918159407, 0.09356065491735925, 0.005743899259628534}, 
 
   {0.1092252402912255, 0.14103828431665433, 0.01298591288718302}, 
 
   {0.1455343094544548, 0.1893130972479415, 0.02323093829381046}, 
 
   {0.1816533249711408, 0.2385780607833497, 0.03656175742160143}, 
 
   {0.2174021256287508, 0.2889522156094858, 0.05304859659226009}, 
 
   {0.2525156699467600, 0.3404532716054167, 0.0727195629820311}, 
 
   {0.286640859348138, 0.392974281423724, 0.0955269694338691}, 
 
   {0.3193509743991575, 0.4462751310286186, 0.1213175826615746}, 
 
   {0.3501814735139168, 0.5000000000000000, 0.1498185264860832}, 
 
   {0.3786824173384254, 0.5537248689713814, 0.1806490256008425}, 
 
   {0.4044730305661309, 0.6070257185762758, 0.2133591406518625}, 
 
   {0.427280437017969, 0.659546728394583, 0.247484330053240}, 
 
   {0.446951403407740, 0.711047784390514, 0.282597874371249}, 
 
   {0.463438242578399, 0.761421939216650, 0.3183466750288592}, 
 
   {0.4767690617061895, 0.8106869027520585, 0.3544656905455452}, 
 
   {0.4870140871128170, 0.8589617156833457, 0.3907747597087745}, 
 
   {0.4942561007403715, 0.9064393450826408, 0.4271649081840593}, 
 
   {0.4985683350576549, 0.9533617854937725, 0.4635803630045386}, 
 
   {0.5000000000000000, 1.0000000000000000, 0.500000000000000}}, 
 
  {{0, 0, 0}, {0.03468539201549442, 0.04441312361024484, 
 
    0.001298439389360715}, {0.0693675089390191, 0.08907203129879841, 
 
    0.005207971898858009}, {0.1040298219511005, 0.13421217625143986, 
 
    0.01176937628547702}, {0.1386287330449456, 0.1800466005500875, 
 
    0.02104411355512871}, {0.1730790721956239, 0.2267506882094101, 
 
    0.03310366742096399}, {0.2072397347577387, 0.2744432128609166, 
 
    0.04801326098795776}, {0.2409017926088665, 0.3231648941794262, 
 
    0.0658097987584060}, {0.273783180164308, 0.372858426538309, 
 
    0.0864757731040118}, {0.3055351222316948, 0.4233570145473585, 
 
    0.1099139329431690}, {0.3357642262029368, 0.4743898604715887, 
 
    0.1359305649439856}, {0.3640694350560144, 0.5256101395284113, 
 
    0.1642357737970632}, {0.3900860670568310, 0.5766429854526415, 
 
    0.1944648777683052}, {0.413524226895988, 0.6271415734616907, 
 
    0.2262168198356921}, {0.434190201241594, 0.676835105820574, 
 
    0.259098207391134}, {0.451986739012042, 0.725556787139083, 
 
    0.292760265242261}, {0.466896332579036, 0.7732493117905899, 
 
    0.3269209278043761}, {0.4789558864448713, 0.8199533994499125, 
 
    0.3613712669550544}, {0.4882306237145230, 0.8657878237485601, 
 
    0.3959701780488995}, {0.4947920281011420, 0.9109279687012016, 
 
    0.4306324910609809}, {0.4987015606106393, 0.955586876389755, 
 
    0.4653146079845056}, {0.5000000000000000, 1.0000000000000000, 
 
    0.500000000000000}}, {{0, 0, 0}, 
 
   {0.03310880091895926, 0.04239084953407819, 0.001182985019237949}, 
 
   {0.0662150076348890, 0.08499566212670813, 0.004743763443706399}, 
 
   {0.0993055372924744, 0.12802025590501550, 0.01071640019597840}, 
 
   {0.1323459128389895, 0.1716528879767586, 0.01915278470845225}, 
 
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