diff --git a/demos/sphere-discrete.geo b/demos/sphere-discrete.geo
index 249917fde360a29c8eeef614fe6bf30d46519670..8696d047ecadd99a5606a4a7dd466a25ce0f694c 100644
--- a/demos/sphere-discrete.geo
+++ b/demos/sphere-discrete.geo
@@ -6,141 +6,141 @@ Include "sphere.geo";
 
 Discrete Surface {14} = {52, 81}
 {
-  0,1,0, 0.12249,-0.984748,-0.122484,
-  -1,0,0, 0.98477,-0.122409,-0.122399,
-  0,0,1, 0.122387,-0.122396,-0.984774,
-  -0.2225209339563045,0.9749279121818258,0, 0.239903,-0.959954,-0.104804,
-  -0.4338837391175415,0.9009688679024271,0, 0.450143,-0.883356,-0.0860133,
-  -0.6234898018587169,0.781831482468043,0, 0.614331,-0.778645,-0.078557,
-  -0.7818314824680178,0.6234898018587486,0, 0.778692,-0.614275,-0.078525,
-  -0.9009688679024137,0.4338837391175694,0, 0.883415,-0.450052,-0.0859225,
-  -0.9749279121818222,0.2225209339563205,0, 0.959991,-0.239825,-0.104665,
-  0,0.2225209339563045,0.9749279121818258, 0.104629,-0.23981,-0.959998,
-  0,0.4338837391175415,0.9009688679024271, 0.0858682,-0.450039,-0.883427,
-  0,0.6234898018587169,0.781831482468043, 0.0784742,-0.614277,-0.778695,
-  0,0.7818314824680178,0.6234898018587486, 0.0785055,-0.778636,-0.614348,
-  0,0.9009688679024137,0.4338837391175694, 0.0859565,-0.883354,-0.450157,
-  0,0.9749279121818222,0.2225209339563205, 0.104764,-0.959947,-0.239943,
-  -0.2225209339563045,0,0.9749279121818258, 0.239908,-0.104586,-0.959975,
-  -0.4338837391175415,0,0.9009688679024271, 0.450112,-0.0857796,-0.883395,
-  -0.6234898018587169,0,0.781831482468043, 0.614365,-0.0783811,-0.778636,
-  -0.7818314824680178,0,0.6234898018587486, 0.778672,-0.0783936,-0.614316,
-  -0.9009688679024137,0,0.4338837391175694, 0.883406,-0.0857686,-0.450094,
-  -0.9749279121818222,0,0.2225209339563205, 0.959984,-0.104572,-0.239879,
-  -0.5563563862876868,0.58574780323111,0.5893785561681136, 0.542364,-0.584545,-0.590227,
-  -0.3797673864064537,0.3830287009370654,0.8420628088502771, 0.372666,-0.371446,-0.84205,
-  -0.8420322954818524,0.3795916678644233,0.383264633088801, 0.839978,-0.373123,-0.374952,
-  -0.37981606730948,0.8418975258518686,0.3833407600384118, 0.372509,-0.84187,-0.372034,
-  -0.6753678604217213,0.3024680761513224,0.6726004228034171, 0.670188,-0.29457,-0.670557,
-  -0.6729079270084988,0.6726948223381966,0.3076956273407729, 0.668629,-0.668898,-0.300852,
-  -0.3218944995561129,0.6692090365334981,0.6697336808159603, 0.324826,-0.662641,-0.663203,
-  -0.5292506826945685,0.2225843452187166,0.8187525676038561, 0.536859,-0.211285,-0.80696,
-  -0.2227900028970579,0.5289639724446303,0.81888012296983, 0.207892,-0.53643,-0.808555,
-  -0.2228625589097885,0.8186669716558503,0.5292612731409074, 0.207912,-0.80832,-0.53677,
-  -0.8188482016497522,0.5289770045141599,0.2228699501223301, 0.8068,-0.536463,-0.21254,
-  -0.5292377740650246,0.818652224745249,0.2229780040329651, 0.53654,-0.806857,-0.212271,
-  -0.8188352112993917,0.222619898856711,0.5291024516013753, 0.808141,-0.207617,-0.537166,
-  -0.9400535909139562,0.241033107942492,0.2412518136469134, 0.944576,-0.210882,-0.21111,
-  -0.2412370715901767,0.9399714903777918,0.2413675124647418, 0.211038,-0.944511,-0.211198,
-  -0.2412172308396923,0.241019329877378,0.9400659241609637, 0.211,-0.210963,-0.944583,
-  -0.5500604510030547,0.4318656083359002,0.7147905686428083, 0.550932,-0.420591,-0.71034,
-  -0.7119687156591906,0.5498627512011055,0.4367501369819113, 0.705612,-0.550658,-0.428166,
-  -0.5470107132072518,0.7147974021493999,0.435710849420309, 0.547905,-0.710712,-0.42418,
-  -0.40688946391474,0.7393526885347822,0.5364686294135053, 0.406174,-0.731801,-0.534105,
-  -0.4071571010884479,0.5354768098983748,0.7399241522073086, 0.40673,-0.532522,-0.732649,
-  -0.7238443334429634,0.4112228821420433,0.5540262828684511, 0.70901,-0.41642,-0.555831,
-  -0.3872601015166345,0.1730878792008123,0.9055772758603949, 0.37447,-0.169545,-0.903023,
-  -0.387291965300684,0.9054830114417742,0.1735092233576426, 0.374491,-0.90295,-0.169819,
-  -0.1732227451046479,0.3870006955403859,0.9056623782364823, 0.169003,-0.374415,-0.903214,
-  -0.9056331418866942,0.3870283295480804,0.1733047883110689, 0.903058,-0.374296,-0.169723,
-  -0.9056259176130349,0.1730010857050725,0.3871805368383252, 0.903183,-0.168853,-0.374567,
-  -0.1734161671695947,0.9054683436957522,0.3873679281209314, 0.169075,-0.903076,-0.374696,
-  -0.7003333551751181,0.7001857101158002,0.1388280291803776, 0.694372,-0.694224,-0.144789,
-  -0.1387536670371216,0.7001728343760379,0.7003609569160975, 0.147679,-0.693801,-0.693996,
-  -0.7003290627113231,0.1386506203540564,0.7002252021835743, 0.694627,-0.143609,-0.694288
+  0,1,0, -0.122515,0.98474,0.122512,
+  -1,0,0, -0.984764,0.122431,0.122423,
+  0,0,1, -0.122404,0.122414,0.984769,
+  -0.2225209339563045,0.9749279121818258,0, -0.239906,0.959951,0.104813,
+  -0.4338837391175415,0.9009688679024271,0, -0.450162,0.883349,0.0859828,
+  -0.6234898018587169,0.781831482468043,0, -0.614356,0.778627,0.0785648,
+  -0.7818314824680178,0.6234898018587486,0, -0.778702,0.614265,0.078522,
+  -0.9009688679024137,0.4338837391175694,0, -0.883414,0.450062,0.085871,
+  -0.9749279121818222,0.2225209339563205,0, -0.959995,0.239808,0.104655,
+  0,0.2225209339563045,0.9749279121818258, -0.104665,0.239828,0.959989,
+  0,0.4338837391175415,0.9009688679024271, -0.0858828,0.450056,0.883416,
+  0,0.6234898018587169,0.781831482468043, -0.0784496,0.614289,0.778688,
+  0,0.7818314824680178,0.6234898018587486, -0.0785016,0.778643,0.614339,
+  0,0.9009688679024137,0.4338837391175694, -0.0859305,0.883365,0.450142,
+  0,0.9749279121818222,0.2225209339563205, -0.10477,0.959956,0.239904,
+  -0.2225209339563045,0,0.9749279121818258, -0.239899,0.104607,0.959975,
+  -0.4338837391175415,0,0.9009688679024271, -0.450112,0.0858309,0.88339,
+  -0.6234898018587169,0,0.781831482468043, -0.614309,0.0784069,0.778675,
+  -0.7818314824680178,0,0.6234898018587486, -0.778648,0.0783846,0.614347,
+  -0.9009688679024137,0,0.4338837391175694, -0.883398,0.0857796,0.450107,
+  -0.9749279121818222,0,0.2225209339563205, -0.95998,0.104611,0.239877,
+  -0.5563510131363865,0.5891913365526474,0.5859412249701538, -0.542357,0.590033,0.584747,
+  -0.8420396490396795,0.3830634023521231,0.3797808676698783, -0.839974,0.374758,0.373325,
+  -0.3798339505169332,0.8419039660392607,0.3833065117213258, -0.372733,0.8419,0.371728,
+  -0.3797253600454539,0.3830944029537457,0.8420518706843709, -0.372425,0.371777,0.842019,
+  -0.6753919245902565,0.672472844325763,0.3026979107737808, -0.670219,0.670424,0.294803,
+  -0.3218754731214902,0.6695561180725229,0.6693958339437879, -0.32481,0.663018,0.662834,
+  -0.6728325927539981,0.3074671081024881,0.6728746452087147, -0.668554,0.300625,0.669074,
+  -0.5292993303235405,0.8186255982747985,0.2229224350615393, -0.536905,0.806866,0.211508,
+  -0.8187957438348996,0.2226199084012708,0.5291641867450418, -0.806747,0.212352,0.536623,
+  -0.2227796568807776,0.5290641967745843,0.8188199683686377, -0.207863,0.53658,0.80846,
+  -0.5291126005877934,0.2227347916511525,0.8187991125945772, -0.536453,0.212078,0.806973,
+  -0.2228644638653538,0.8187181284284164,0.5291806711483696, -0.207918,0.808415,0.53663,
+  -0.8188650976802843,0.5289662361210328,0.222840695031449, -0.808171,0.537047,0.207786,
+  -0.2413111399348926,0.9399456419452581,0.2413944369774025, -0.211067,0.944506,0.211191,
+  -0.9400308625837783,0.2411047633180826,0.2412684687567402, -0.944571,0.211002,0.211012,
+  -0.2412555782973508,0.2410481643257406,0.9400486902217813, -0.211007,0.210993,0.944575,
+  -0.7119538381502901,0.4365391341902741,0.5500502935167957, -0.705589,0.427957,0.550848,
+  -0.5500945701675112,0.7146221593960822,0.4321001427018011, -0.550965,0.710175,0.420829,
+  -0.5469423456398116,0.4355031120810015,0.7149763189866385, -0.547841,0.423966,0.710887,
+  -0.4068237774364799,0.5362674037682693,0.7395347191745937, -0.40612,0.533904,0.731977,
+  -0.4071959581063569,0.7397418450163052,0.5357006446338911, -0.406763,0.73247,0.532743,
+  -0.7238608601175065,0.5538568359169417,0.4114219673645391, -0.709024,0.555658,0.416627,
+  -0.387338262855515,0.9054783182404259,0.173421383052493, -0.374535,0.90294,0.16978,
+  -0.1732777759107061,0.3870691149951774,0.9056226119645898, -0.169017,0.374464,0.90319,
+  -0.9056033827977032,0.1730510265700378,0.3872155155440856, -0.903031,0.169551,0.374448,
+  -0.9056547245159975,0.3870338671095289,0.173188644753235, -0.9032,0.374446,0.169,
+  -0.3872181038881538,0.1731347990436712,0.9055862645269011, -0.374441,0.169583,0.903027,
+  -0.1733157885866541,0.9055130627573574,0.3873037773702063, -0.169052,0.903099,0.374656,
+  -0.1387159089663307,0.7001774912902294,0.7003638366054901, -0.147659,0.69386,0.693942,
+  -0.7003805613717944,0.7001268278826707,0.1388868398998138, -0.694658,0.694213,0.143778,
+  -0.7002399905549749,0.1385871413765045,0.7003267865022653, -0.694292,0.144624,0.694348
 }
 {
-  3, 27,41,21,
-  3, 21,40,27,
-  3, 37,42,21,
-  3, 25,42,37,
-  3, 6,31,7,
-  3, 10,29,11,
-  3, 17,28,16,
-  3, 12,30,13,
-  3, 19,33,18,
-  3, 4,32,5,
-  3, 15,36,2,
-  3, 14,35,0,
-  3, 2,36,9,
-  3, 0,35,3,
-  3, 8,34,1,
-  3, 1,34,20,
-  3, 26,39,38,
-  3, 38,39,21,
-  3, 28,37,22,
-  3, 25,37,28,
-  3, 31,38,23,
-  3, 26,38,31,
-  3, 32,39,26,
-  3, 24,39,32,
-  3, 21,42,38,
-  3, 21,41,37,
-  3, 39,40,21,
-  3, 6,49,31,
-  3, 29,50,11,
-  3, 33,51,18,
-  3, 32,49,5,
-  3, 12,50,30,
-  3, 17,51,28,
-  3, 27,50,29,
-  3, 31,49,26,
-  3, 28,51,25,
-  3, 30,50,27,
-  3, 26,49,32,
-  3, 25,51,33,
-  3, 22,43,28,
-  3, 29,45,22,
-  3, 23,46,31,
-  3, 33,47,23,
-  3, 32,44,24,
-  3, 24,48,30,
-  3, 23,47,34,
-  3, 34,46,23,
-  3, 22,45,36,
-  3, 36,43,22,
-  3, 24,44,35,
-  3, 35,48,24,
-  3, 11,50,12,
-  3, 5,49,6,
-  3, 18,51,17,
-  3, 29,41,27,
-  3, 22,41,29,
-  3, 27,40,30,
-  3, 30,40,24,
-  3, 33,42,25,
-  3, 23,42,33,
-  3, 16,43,15,
-  3, 3,44,4,
-  3, 20,47,19,
-  3, 13,48,14,
-  3, 9,45,10,
-  3, 7,46,8,
-  3, 14,48,35,
-  3, 35,44,3,
-  3, 15,43,36,
-  3, 34,47,20,
-  3, 8,46,34,
-  3, 36,45,9,
-  3, 28,43,16,
-  3, 10,45,29,
-  3, 4,44,32,
-  3, 31,46,7,
-  3, 30,48,13,
-  3, 19,47,33,
-  3, 37,41,22,
-  3, 24,40,39,
-  3, 38,42,23
+  3, 21,26,41,
+  3, 26,21,40,
+  3, 21,38,42,
+  3, 38,25,42,
+  3, 19,18,29,
+  3, 12,13,32,
+  3, 17,16,31,
+  3, 6,7,33,
+  3, 4,5,28,
+  3, 10,11,30,
+  3, 14,0,34,
+  3, 0,3,34,
+  3, 15,2,36,
+  3, 2,9,36,
+  3, 1,20,35,
+  3, 8,1,35,
+  3, 37,27,39,
+  3, 21,37,39,
+  3, 29,27,37,
+  3, 22,29,37,
+  3, 28,25,38,
+  3, 23,28,38,
+  3, 27,31,39,
+  3, 31,24,39,
+  3, 37,21,42,
+  3, 38,21,41,
+  3, 21,39,40,
+  3, 12,32,49,
+  3, 29,18,51,
+  3, 17,31,51,
+  3, 6,33,50,
+  3, 30,11,49,
+  3, 28,5,50,
+  3, 32,26,49,
+  3, 27,29,51,
+  3, 31,27,51,
+  3, 26,30,49,
+  3, 25,28,50,
+  3, 33,25,50,
+  3, 29,22,45,
+  3, 22,33,46,
+  3, 28,23,43,
+  3, 23,32,48,
+  3, 30,24,44,
+  3, 24,31,47,
+  3, 35,22,46,
+  3, 22,35,45,
+  3, 34,23,48,
+  3, 23,34,43,
+  3, 36,24,47,
+  3, 24,36,44,
+  3, 11,12,49,
+  3, 5,6,50,
+  3, 18,17,51,
+  3, 24,30,40,
+  3, 30,26,40,
+  3, 26,32,41,
+  3, 32,23,41,
+  3, 25,33,42,
+  3, 33,22,42,
+  3, 3,4,43,
+  3, 7,8,46,
+  3, 9,10,44,
+  3, 16,15,47,
+  3, 13,14,48,
+  3, 20,19,45,
+  3, 34,3,43,
+  3, 36,9,44,
+  3, 14,34,48,
+  3, 15,36,47,
+  3, 8,35,46,
+  3, 35,20,45,
+  3, 4,28,43,
+  3, 19,29,45,
+  3, 10,30,44,
+  3, 31,16,47,
+  3, 33,7,46,
+  3, 32,13,48,
+  3, 39,24,40,
+  3, 23,38,41,
+  3, 22,37,42
 };
 Discrete Surface {16} = {52, 81}
 {
@@ -165,37 +165,37 @@ Discrete Surface {16} = {52, 81}
   -0.7818314824680178,0,0.6234898018587486, -0.778621,-0.0785432,0.614366,
   -0.9009688679024137,0,0.4338837391175694, -0.883348,-0.0859592,0.450167,
   -0.9749279121818222,0,0.2225209339563205, -0.959951,-0.104755,0.239933,
-  -0.5891739597173605,-0.5859267582329895,0.556384650392876, -0.590016,-0.584743,0.542382,
-  -0.8419127444973883,-0.3832956880030433,0.3798278226831517, -0.841902,-0.37172,0.37273,
-  -0.3830319266375957,-0.3798140560026971,0.8420379005840269, -0.374731,-0.373352,0.839975,
-  -0.3830962287848477,-0.8420361401780438,0.3797583983100078, -0.37177,-0.842016,0.37244,
-  -0.6724551411042673,-0.3026819813906222,0.6754166897660883, -0.670407,-0.294789,0.670241,
-  -0.3074593270180959,-0.6728987156721503,0.6728120755921078, -0.300613,-0.66909,0.668544,
-  -0.6694819429357053,-0.6694380360672098,0.3219419986716118, -0.662963,-0.662861,0.32487,
-  -0.8186317970101681,-0.2228947190282293,0.5293044527516122, -0.80686,-0.211489,0.536919,
-  -0.8186752178401742,-0.5292648531295772,0.2228237624691343, -0.808386,-0.536664,0.207932,
-  -0.2225458354114627,-0.5292281668310148,0.8187740993566033, -0.212334,-0.536638,0.806743,
-  -0.5289963636855451,-0.8188492010635198,0.2228267380170212, -0.536546,-0.808476,0.207899,
-  -0.222705920497333,-0.8188131936273997,0.5291057278540423, -0.212071,-0.806978,0.536446,
-  -0.5289072831516699,-0.2229228528648766,0.8188788376041151, -0.537021,-0.207817,0.808182,
-  -0.9399854125748492,-0.2412485225886629,0.2413018400409608, -0.944519,-0.211134,0.211067,
-  -0.2411171591604493,-0.2411369205332241,0.9400615157423891, -0.211015,-0.210973,0.944576,
-  -0.2411250692806431,-0.9400488545283778,0.2411780745495412, -0.211026,-0.944574,0.210978,
-  -0.7146247227093498,-0.4320795897393161,0.5501079194131178, -0.710172,-0.420818,0.550976,
-  -0.4365077211110334,-0.550073098878146,0.7119554728198714, -0.427923,-0.550866,0.705596,
-  -0.4355132027224543,-0.7149605088910332,0.5469549199588107, -0.423957,-0.710884,0.547854,
-  -0.7397228199153736,-0.5357169371270007,0.4072069959197679, -0.732454,-0.532757,0.406772,
-  -0.5538319021633367,-0.4114410233266863,0.72386960115494, -0.555634,-0.416642,0.709034,
-  -0.5362226916107964,-0.7395443154817182,0.4068654565609073, -0.533871,-0.731983,0.406157,
-  -0.1731323186331077,-0.3871870186504588,0.9055980745823555, -0.169581,-0.374423,0.903037,
-  -0.9055122870236553,-0.3872886711296668,0.1733637317090485, -0.9031,-0.374638,0.16907,
-  -0.9054744348258714,-0.173395839742143,0.3873627907066209, -0.902942,-0.169748,0.374546,
-  -0.1731523847291292,-0.9056087016176324,0.387157763615352, -0.169602,-0.903043,0.374395,
-  -0.3870917535634842,-0.9056091936898459,0.1732973275815331, -0.374482,-0.903182,0.16902,
-  -0.3870543025771706,-0.1732581944706967,0.9056309552213635, -0.374458,-0.169021,0.903192,
-  -0.700111161613012,-0.1388450909573363,0.7004044976522608, -0.694187,-0.143765,0.694684,
-  -0.1385903208504325,-0.7002963699986621,0.7002698352821897, -0.144615,-0.694351,0.694294,
-  -0.7001375485780785,-0.7003735661732321,0.138868027251753, -0.693811,-0.693976,0.147729
+  -0.5891739597173604,-0.5859267582329895,0.5563846503928759, -0.590016,-0.584743,0.542382,
+  -0.8419127444975067,-0.3832956880031617,0.3798278226832703, -0.841902,-0.37172,0.37273,
+  -0.3830319266375962,-0.3798140560026974,0.8420379005840273, -0.374731,-0.373352,0.839975,
+  -0.3830962287846832,-0.8420361401778793,0.3797583983098432, -0.37177,-0.842016,0.37244,
+  -0.6724551411042631,-0.3026819813906181,0.675416689766084, -0.670407,-0.294789,0.670241,
+  -0.3074593270180926,-0.672898715672147,0.6728120755921047, -0.300613,-0.66909,0.668544,
+  -0.6694819429356987,-0.6694380360672032,0.3219419986716052, -0.662963,-0.662861,0.32487,
+  -0.8186317970101905,-0.2228947190282516,0.5293044527516347, -0.80686,-0.211489,0.536919,
+  -0.8186752178400962,-0.5292648531294992,0.2228237624690563, -0.808386,-0.536664,0.207932,
+  -0.2225458354114695,-0.5292281668310217,0.8187740993566104, -0.212334,-0.536638,0.806743,
+  -0.5289963636854366,-0.8188492010634111,0.2228267380169126, -0.536546,-0.808476,0.207899,
+  -0.2227059204974404,-0.818813193627507,0.5291057278541499, -0.212071,-0.806978,0.536446,
+  -0.5289072831516629,-0.2229228528648696,0.8188788376041078, -0.537021,-0.207817,0.808182,
+  -0.9399854125748424,-0.2412485225886563,0.241301840040954, -0.944519,-0.211134,0.211067,
+  -0.2411171591604495,-0.2411369205332241,0.9400615157423891, -0.211015,-0.210973,0.944576,
+  -0.2411250692806426,-0.9400488545283774,0.2411780745495407, -0.211026,-0.944574,0.210978,
+  -0.7146247227093602,-0.4320795897393267,0.5501079194131282, -0.710172,-0.420818,0.550976,
+  -0.4365077211110331,-0.5500730988781458,0.7119554728198711, -0.427923,-0.550866,0.705596,
+  -0.4355132027224509,-0.7149605088910298,0.5469549199588074, -0.423957,-0.710884,0.547854,
+  -0.739722819915368,-0.5357169371269953,0.4072069959197624, -0.732454,-0.532757,0.406772,
+  -0.5538319021633533,-0.4114410233267031,0.7238696011549567, -0.555634,-0.416642,0.709034,
+  -0.536222691610783,-0.7395443154817047,0.4068654565608939, -0.533871,-0.731983,0.406157,
+  -0.1731323186330627,-0.3871870186504138,0.9055980745823108, -0.169581,-0.374423,0.903037,
+  -0.9055122870236548,-0.3872886711296661,0.1733637317090477, -0.9031,-0.374638,0.16907,
+  -0.9054744348258696,-0.1733958397421412,0.3873627907066191, -0.902942,-0.169748,0.374546,
+  -0.1731523847291243,-0.9056087016176271,0.387157763615347, -0.169602,-0.903043,0.374395,
+  -0.3870917535634846,-0.9056091936898463,0.1732973275815335, -0.374482,-0.903182,0.16902,
+  -0.3870543025771477,-0.1732581944706739,0.9056309552213407, -0.374458,-0.169021,0.903192,
+  -0.7001111616130116,-0.1388450909573361,0.7004044976522603, -0.694187,-0.143765,0.694684,
+  -0.1385903208504232,-0.7002963699986529,0.7002698352821806, -0.144615,-0.694351,0.694294,
+  -0.7001375485780742,-0.700373566173228,0.1388680272517487, -0.693811,-0.693976,0.147729
 }
 {
   3, 27,21,40,
@@ -216,10 +216,10 @@ Discrete Surface {16} = {52, 81}
   3, 1,9,36,
   3, 26,38,39,
   3, 38,21,39,
-  3, 30,23,38,
   3, 26,30,38,
-  3, 28,22,37,
+  3, 30,23,38,
   3, 25,28,37,
+  3, 28,22,37,
   3, 32,26,39,
   3, 24,32,39,
   3, 21,38,41,
@@ -254,10 +254,10 @@ Discrete Surface {16} = {52, 81}
   3, 5,6,51,
   3, 22,29,40,
   3, 29,27,40,
-  3, 27,31,42,
   3, 31,24,42,
-  3, 33,25,41,
+  3, 27,31,42,
   3, 23,33,41,
+  3, 33,25,41,
   3, 7,8,47,
   3, 9,10,46,
   3, 19,20,45,
@@ -303,37 +303,37 @@ Discrete Surface {18} = {52, 81}
   0.6234898018587486,0,0.7818314824680178, 0.614324,0.0784177,0.778664,
   0.4338837391175694,0,0.9009688679024137, 0.450092,0.0858087,0.883403,
   0.2225209339563205,0,0.9749279121818222, 0.239868,0.104611,0.959983,
-  0.5773975082211723,0.5772658431569985,0.5773874468883698, 0.572933,0.57281,0.57295,
-  0.379748560205611,0.3830922972135951,0.8420410745750357, 0.373151,0.374203,0.840355,
-  0.3832767388182142,0.8419248558493656,0.3798176911490971, 0.374414,0.840224,0.373235,
-  0.842017083545576,0.3795977373382629,0.383297285009479, 0.840317,0.373008,0.374434,
-  0.3026571833356637,0.6724767521348095,0.6754062855619128, 0.294606,0.670137,0.670602,
-  0.6726904731290685,0.6752005624957618,0.3026412733956576, 0.670332,0.670411,0.294597,
-  0.6752694072280113,0.3024967167989862,0.67268638594445, 0.670474,0.294442,0.670337,
-  0.2229137773738782,0.8186291889102922,0.5292974232185791, 0.211474,0.806818,0.536991,
-  0.8187775028375235,0.2225862292358218,0.5292085498174343, 0.808227,0.207407,0.53715,
-  0.529138268640041,0.2226582304779904,0.8188020734702379, 0.536865,0.211314,0.80695,
-  0.5291833920368121,0.818725721663463,0.2228301061803667, 0.537139,0.808189,0.207565,
-  0.8188036229547507,0.5290216888761575,0.2229405899877416, 0.806956,0.53678,0.211485,
-  0.2227915010233783,0.5289645632117936,0.8188795661928681, 0.207537,0.536954,0.808322,
-  0.2411833793097393,0.2411144071855669,0.9400502240409749, 0.210975,0.211014,0.944577,
-  0.2413224491124345,0.9399707559051698,0.2412853177616679, 0.211157,0.944517,0.211056,
-  0.9400310943183164,0.2410528987544392,0.2413194009455773, 0.944561,0.210899,0.211152,
-  0.4313730843636946,0.7136827955596459,0.5518817835865174, 0.421664,0.708113,0.552785,
-  0.7138270103183525,0.5516947649210892,0.4313743692757252, 0.708257,0.552597,0.421671,
-  0.5518003610587109,0.4312517423531107,0.7138195188682946, 0.552706,0.421506,0.708268,
-  0.5523084755418043,0.7255270998470831,0.4105676256138265, 0.553681,0.712255,0.414308,
-  0.7256174675725306,0.4104018118921681,0.5523130339598097, 0.71235,0.414138,0.553687,
-  0.4105268835831901,0.5521211027246734,0.7256927304941452, 0.414282,0.553507,0.712407,
-  0.1734007930104182,0.905482508392228,0.3873376832172842, 0.169758,0.902946,0.374533,
-  0.3871717518779474,0.1731157346343896,0.9056097267473995, 0.374411,0.169587,0.903039,
-  0.9055956496979194,0.3870715972956976,0.173413092114687, 0.903036,0.374319,0.169774,
-  0.3872736887515262,0.9055241543513021,0.1733250710874481, 0.37463,0.903111,0.16905,
-  0.9055618366283051,0.1731245241546382,0.3872798216992268, 0.903146,0.168892,0.374632,
-  0.1731812158179549,0.3870480621949324,0.9056500786938424, 0.168978,0.374455,0.903202,
-  0.7002488228573751,0.1386915780636942,0.7002972798523498, 0.694547,0.143633,0.694362,
-  0.1388740971332871,0.7001122720230287,0.7003976384655992, 0.143762,0.69421,0.694665,
-  0.7003153309228614,0.7002045971493628,0.1388239369866048, 0.694371,0.694506,0.143746
+  0.5773975082211721,0.5772658431569984,0.5773874468883697, 0.572933,0.57281,0.57295,
+  0.3797485602057286,0.3830922972137126,0.8420410745751534, 0.373151,0.374203,0.840355,
+  0.3832767388182142,0.8419248558493657,0.3798176911490971, 0.374414,0.840224,0.373235,
+  0.8420170835457154,0.3795977373384021,0.3832972850096181, 0.840317,0.373008,0.374434,
+  0.3026571833356536,0.6724767521347996,0.6754062855619029, 0.294606,0.670137,0.670602,
+  0.6726904731290684,0.6752005624957614,0.3026412733956574, 0.670332,0.670411,0.294597,
+  0.6752694072280159,0.3024967167989908,0.6726863859444547, 0.670474,0.294442,0.670337,
+  0.2229137773738889,0.818629188910303,0.5292974232185897, 0.211474,0.806818,0.536991,
+  0.8187775028377696,0.2225862292360681,0.5292085498176807, 0.808227,0.207407,0.53715,
+  0.5291382686399343,0.2226582304778837,0.8188020734701312, 0.536865,0.211314,0.80695,
+  0.5291833920367963,0.8187257216634471,0.222830106180351, 0.537139,0.808189,0.207565,
+  0.8188036229545755,0.5290216888759822,0.2229405899875666, 0.806956,0.53678,0.211485,
+  0.2227915010233589,0.5289645632117742,0.8188795661928487, 0.207537,0.536954,0.808322,
+  0.2411833793097393,0.2411144071855667,0.940050224040975, 0.210975,0.211014,0.944577,
+  0.2413224491124619,0.9399707559051969,0.2412853177616952, 0.211157,0.944517,0.211056,
+  0.9400310943183324,0.2410528987544552,0.2413194009455931, 0.944561,0.210899,0.211152,
+  0.4313730843637155,0.7136827955596668,0.5518817835865384, 0.421664,0.708113,0.552785,
+  0.713827010318361,0.5516947649210976,0.4313743692757338, 0.708257,0.552597,0.421671,
+  0.5518003610587108,0.4312517423531107,0.7138195188682946, 0.552706,0.421506,0.708268,
+  0.5523084755418044,0.7255270998470831,0.4105676256138265, 0.553681,0.712255,0.414308,
+  0.7256174675725395,0.410401811892177,0.5523130339598187, 0.71235,0.414138,0.553687,
+  0.4105268835831876,0.552121102724671,0.7256927304941428, 0.414282,0.553507,0.712407,
+  0.1734007930103921,0.905482508392202,0.3873376832172581, 0.169758,0.902946,0.374533,
+  0.3871717518779475,0.1731157346343897,0.9056097267473995, 0.374411,0.169587,0.903039,
+  0.9055956496979217,0.3870715972956999,0.1734130921146891, 0.903036,0.374319,0.169774,
+  0.3872736887512665,0.9055241543510425,0.1733250710871884, 0.37463,0.903111,0.16905,
+  0.9055618366283053,0.1731245241546386,0.3872798216992269, 0.903146,0.168892,0.374632,
+  0.1731812158179551,0.3870480621949327,0.9056500786938431, 0.168978,0.374455,0.903202,
+  0.7002488228573803,0.1386915780636993,0.7002972798523552, 0.694547,0.143633,0.694362,
+  0.1388740971332977,0.7001122720230394,0.7003976384656098, 0.143762,0.69421,0.694665,
+  0.7003153309228675,0.7002045971493689,0.138823936986611, 0.694371,0.694506,0.143746
 }
 {
   3, 37,42,21,
@@ -390,8 +390,8 @@ Discrete Surface {18} = {52, 81}
   3, 17,49,18,
   3, 6,51,5,
   3, 11,50,12,
-  3, 24,41,29,
   3, 29,41,27,
+  3, 24,41,29,
   3, 23,40,31,
   3, 31,40,26,
   3, 22,42,33,
@@ -441,37 +441,37 @@ Discrete Surface {20} = {52, 81}
   -0.6234898018587486,0,-0.7818314824680178, -0.614329,0.0784952,-0.778652,
   -0.4338837391175694,0,-0.9009688679024137, -0.450141,0.0859311,-0.883365,
   -0.2225209339563205,0,-0.9749279121818222, -0.239917,0.104739,-0.959956,
-  -0.5893879580428183,0.5858474733326093,-0.5562414699741604, -0.590253,0.584563,-0.542317,
-  -0.8420676034188439,0.3831776001274968,-0.3796036349132973, -0.842055,0.371599,-0.372504,
-  -0.3832854644825177,0.8419879923855194,-0.3796741868285228, -0.372019,0.841871,-0.372482,
-  -0.3833451742354813,0.3797875732454184,-0.8419072850272082, -0.374995,0.373254,-0.839915,
-  -0.6726926174038719,0.3025837760254081,-0.6752241883127392, -0.670638,0.294698,-0.670049,
-  -0.6696685957970377,0.6693344717392077,-0.321769083796025, -0.663163,0.662745,-0.324698,
-  -0.3077262804727063,0.672833632944221,-0.6727551165482588, -0.300866,0.669044,-0.668483,
-  -0.8188266775559518,0.222760001854667,-0.529059690509145, -0.807021,0.211401,-0.536719,
-  -0.8188213780920841,0.529132248269593,-0.2226015403129368, -0.808509,0.536553,-0.207766,
-  -0.2229170781885456,0.8187693639882616,-0.5290846131533925, -0.212387,0.806887,-0.536424,
-  -0.222964766052846,0.5291603643361211,-0.818703943597838, -0.212466,0.536613,-0.806734,
-  -0.5291804133778502,0.8187475575529044,-0.2227631932775683, -0.53671,0.808389,-0.207812,
-  -0.5291958652372457,0.2228532421373715,-0.8187113240338844, -0.537249,0.207764,-0.808044,
-  -0.2413448069238882,0.2412385734078235,-0.9399770141299317, -0.211184,0.211027,-0.944517,
-  -0.2413284655822058,0.9399996941452975,-0.2411662460613592, -0.21115,0.944546,-0.210958,
-  -0.9400606467506449,0.2411578154404655,-0.2410993405482884, -0.944582,0.211054,-0.210915,
-  -0.7148276733446116,0.4319866040212949,-0.5499172305445931, -0.710373,0.420719,-0.550791,
-  -0.4365224164682945,0.7141474013804114,-0.5472126039706969, -0.42442,0.710518,-0.547956,
-  -0.4360058031334616,0.5498864103046266,-0.7124070994686145, -0.427978,0.550652,-0.705751,
-  -0.7399033033139375,0.5356117749852143,-0.4070173865665644, -0.732635,0.532653,-0.406582,
-  -0.5364975655684574,0.7393967586510166,-0.4067712680169143, -0.534165,0.731817,-0.406068,
-  -0.5540393011783173,0.4113729089503462,-0.7237495984347802, -0.555791,0.416594,-0.708936,
-  -0.9056288813092812,0.3871461718451767,-0.1730727337686618, -0.903188,0.374534,-0.16889,
-  -0.173345034743587,0.9055759351131329,-0.3871481982060999, -0.169742,0.903015,-0.374383,
-  -0.9056169924196105,0.173228955166618,-0.3871041114862651, -0.90305,0.169657,-0.374349,
-  -0.3872713263411678,0.9055614026992046,-0.1731457965186259, -0.374631,0.903135,-0.168935,
-  -0.1734961842638504,0.3872477854450141,-0.9055024717183082, -0.169814,0.374461,-0.902966,
-  -0.3873059041794206,0.1733274642459867,-0.9055101365174167, -0.374656,0.16904,-0.903102,
-  -0.7003137941471834,0.1387336794161216,-0.7002239751185586, -0.694364,0.14369,-0.694527,
-  -0.7003005030275115,0.7002562852844932,-0.1386376150025811, -0.693936,0.693885,-0.14759,
-  -0.1388927976529893,0.7002951312474361,-0.7002111438390988, -0.144819,0.694321,-0.69427
+  -0.5893879580428182,0.5858474733326092,-0.5562414699741602, -0.590253,0.584563,-0.542317,
+  -0.8420676034188912,0.3831776001275439,-0.3796036349133443, -0.842055,0.371599,-0.372504,
+  -0.3832854644825078,0.8419879923855095,-0.3796741868285129, -0.372019,0.841871,-0.372482,
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+  -0.7003137941471791,0.1387336794161172,-0.7002239751185544, -0.694364,0.14369,-0.694527,
+  -0.7003005030275156,0.7002562852844972,-0.1386376150025851, -0.693936,0.693885,-0.14759,
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 }
 {
   3, 26,21,40,
@@ -492,8 +492,8 @@ Discrete Surface {20} = {52, 81}
   3, 3,0,35,
   3, 21,38,39,
   3, 38,27,39,
-  3, 28,22,37,
   3, 25,28,37,
+  3, 28,22,37,
   3, 30,27,38,
   3, 23,30,38,
   3, 31,24,39,
@@ -528,8 +528,8 @@ Discrete Surface {20} = {52, 81}
   3, 18,17,49,
   3, 6,5,50,
   3, 11,12,51,
-  3, 22,29,40,
   3, 29,26,40,
+  3, 22,29,40,
   3, 26,32,41,
   3, 32,23,41,
   3, 33,25,42,
@@ -558,141 +558,141 @@ Discrete Surface {20} = {52, 81}
 };
 Discrete Surface {22} = {52, 81}
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+  3, 35,48,24,
+  3, 22,45,36,
+  3, 24,43,35,
+  3, 11,49,12,
+  3, 17,50,18,
+  3, 5,51,6,
+  3, 28,40,26,
+  3, 22,40,28,
+  3, 29,41,25,
+  3, 24,41,29,
+  3, 31,42,23,
+  3, 26,42,31,
+  3, 13,44,14,
+  3, 3,46,4,
+  3, 19,47,20,
+  3, 15,45,16,
+  3, 9,43,10,
+  3, 7,48,8,
+  3, 20,47,34,
+  3, 34,46,3,
+  3, 8,48,35,
+  3, 36,45,15,
+  3, 14,44,36,
+  3, 35,43,9,
+  3, 16,45,28,
+  3, 10,43,29,
+  3, 4,46,30,
+  3, 33,44,13,
+  3, 31,47,19,
+  3, 32,48,7,
+  3, 37,40,22,
+  3, 38,41,24,
+  3, 23,42,39
 };
 Discrete Surface {24} = {52, 81}
 {
@@ -717,37 +717,37 @@ Discrete Surface {24} = {52, 81}
   -0.6234898018587486,0,-0.7818314824680178, -0.614325,-0.0786109,-0.778648,
   -0.4338837391175694,0,-0.9009688679024137, -0.450137,-0.0860079,-0.88336,
   -0.2225209339563205,0,-0.9749279121818222, -0.239876,-0.104783,-0.959964,
-  -0.5772695775917365,-0.5774986739195732,-0.5772825273712238, -0.572829,-0.573034,-0.572828,
-  -0.8419631304781634,-0.3798992890913943,-0.3831141478400435, -0.840278,-0.373299,-0.374229,
-  -0.3797028243146867,-0.3833437635931637,-0.8419485314296844, -0.373117,-0.374476,-0.840248,
-  -0.3830905136777825,-0.8420998695293593,-0.3796175286407161, -0.374224,-0.840396,-0.373037,
-  -0.6753243551337436,-0.3027731950622626,-0.6725068152847729, -0.670524,-0.29472,-0.670165,
-  -0.3024772074324325,-0.6727371886460555,-0.6752275372697527, -0.294427,-0.670395,-0.670421,
-  -0.6725743222424034,-0.6753769447274738,-0.3025058133900764, -0.670222,-0.670585,-0.294448,
-  -0.5292174927726407,-0.2230027049468603,-0.8186583788935018, -0.536914,-0.211546,-0.806848,
-  -0.2226833000638715,-0.8188538710222606,-0.5290468905897477, -0.211316,-0.806997,-0.536795,
-  -0.8187203356569681,-0.5292761830239838,-0.222636546719897, -0.806873,-0.536978,-0.21131,
-  -0.5290517759521831,-0.8188565804062788,-0.2226615883035241, -0.537008,-0.808313,-0.207441,
-  -0.8188227158507664,-0.2229462044382329,-0.5289850478946277, -0.808267,-0.207645,-0.53699,
-  -0.2227325903706251,-0.5292161536455738,-0.8187345637167848, -0.207458,-0.537179,-0.808191,
-  -0.9399984230250005,-0.2413072965836137,-0.2411923648088548, -0.944542,-0.211063,-0.211058,
-  -0.2411511507515085,-0.2413837538184181,-0.9399893709072108, -0.210971,-0.211188,-0.944532,
-  -0.241080192078074,-0.9400774632642932,-0.2411117094251836, -0.211005,-0.944593,-0.210922,
-  -0.5517781426680116,-0.4314677981220244,-0.7137061349796708, -0.552685,-0.421761,-0.708133,
-  -0.4312103344164487,-0.7139098887588357,-0.5517157947663076, -0.421497,-0.708343,-0.552616,
-  -0.7137145004002756,-0.5519227237848743,-0.431268950809594, -0.708164,-0.552829,-0.421519,
-  -0.5521677488223566,-0.7257225329275279,-0.4104123781099648, -0.553538,-0.712452,-0.414159,
-  -0.4104405569192685,-0.5523732789307927,-0.7255496127965211, -0.414188,-0.553753,-0.71227,
-  -0.7256084869996458,-0.4106472382707749,-0.5521423580603861, -0.712318,-0.414404,-0.55353,
-  -0.3872356151275071,-0.1734669114635063,-0.9055152180479031, -0.374448,-0.169808,-0.90297,
-  -0.9055506771866288,-0.3872938960312118,-0.173151408131418, -0.902993,-0.374505,-0.169607,
-  -0.3870718820895743,-0.9056522451436655,-0.1731075330771866, -0.374476,-0.903209,-0.168914,
-  -0.1731521009111537,-0.9056319794732477,-0.3870988555012881, -0.169601,-0.903064,-0.37435,
-  -0.1731388911786679,-0.3873154164098662,-0.9055438671174201, -0.168933,-0.374662,-0.903122,
-  -0.9055868324173053,-0.1733653089407878,-0.3871136252027709, -0.903155,-0.169093,-0.374503,
-  -0.1386071422526903,-0.700358466226124,-0.7002044007824165, -0.14361,-0.694399,-0.694511,
-  -0.7001839358065192,-0.7003668919256947,-0.1386677003494564, -0.694259,-0.694649,-0.14363,
-  -0.7003037139973549,-0.1389907216206328,-0.7001830726997049, -0.694609,-0.143845,-0.694244
+  -0.5772695775917365,-0.5774986739195732,-0.5772825273712237, -0.572829,-0.573034,-0.572828,
+  -0.84196313047808,-0.3798992890913108,-0.3831141478399601, -0.840278,-0.373299,-0.374229,
+  -0.3797028243146233,-0.3833437635931001,-0.8419485314296209, -0.373117,-0.374476,-0.840248,
+  -0.3830905136777825,-0.8420998695293594,-0.3796175286407161, -0.374224,-0.840396,-0.373037,
+  -0.6753243551337411,-0.3027731950622603,-0.6725068152847703, -0.670524,-0.29472,-0.670165,
+  -0.3024772074324191,-0.6727371886460419,-0.6752275372697392, -0.294427,-0.670395,-0.670421,
+  -0.6725743222424133,-0.6753769447274838,-0.3025058133900864, -0.670222,-0.670585,-0.294448,
+  -0.5292174927727776,-0.223002704946997,-0.8186583788936386, -0.536914,-0.211546,-0.806848,
+  -0.2226833000638701,-0.8188538710222593,-0.5290468905897465, -0.211316,-0.806997,-0.536795,
+  -0.8187203356570324,-0.5292761830240482,-0.2226365467199614, -0.806873,-0.536978,-0.21131,
+  -0.5290517759521769,-0.8188565804062726,-0.222661588303518, -0.537008,-0.808313,-0.207441,
+  -0.8188227158507502,-0.2229462044382169,-0.5289850478946116, -0.808267,-0.207645,-0.53699,
+  -0.2227325903706494,-0.529216153645598,-0.818734563716809, -0.207458,-0.537179,-0.808191,
+  -0.9399984230250011,-0.2413072965836146,-0.2411923648088554, -0.944542,-0.211063,-0.211058,
+  -0.2411511507515107,-0.2413837538184203,-0.939989370907213, -0.210971,-0.211188,-0.944532,
+  -0.2410801920780593,-0.9400774632642785,-0.2411117094251689, -0.211005,-0.944593,-0.210922,
+  -0.5517781426680181,-0.4314677981220309,-0.7137061349796773, -0.552685,-0.421761,-0.708133,
+  -0.4312103344164486,-0.7139098887588355,-0.5517157947663075, -0.421497,-0.708343,-0.552616,
+  -0.713714500400269,-0.5519227237848676,-0.4312689508095874, -0.708164,-0.552829,-0.421519,
+  -0.5521677488223272,-0.7257225329274983,-0.4104123781099352, -0.553538,-0.712452,-0.414159,
+  -0.4104405569192795,-0.5523732789308037,-0.7255496127965321, -0.414188,-0.553753,-0.71227,
+  -0.7256084869996465,-0.4106472382707756,-0.5521423580603867, -0.712318,-0.414404,-0.55353,
+  -0.3872356151275075,-0.1734669114635066,-0.9055152180479035, -0.374448,-0.169808,-0.90297,
+  -0.9055506771866307,-0.3872938960312142,-0.1731514081314203, -0.902993,-0.374505,-0.169607,
+  -0.3870718820895837,-0.9056522451436749,-0.1731075330771961, -0.374476,-0.903209,-0.168914,
+  -0.1731521009109305,-0.9056319794730243,-0.387098855501065, -0.169601,-0.903064,-0.37435,
+  -0.1731388911786651,-0.3873154164098633,-0.9055438671174173, -0.168933,-0.374662,-0.903122,
+  -0.9055868324173046,-0.1733653089407871,-0.3871136252027702, -0.903155,-0.169093,-0.374503,
+  -0.1386071422526729,-0.7003584662261064,-0.7002044007823989, -0.14361,-0.694399,-0.694511,
+  -0.7001839358065174,-0.7003668919256927,-0.1386677003494544, -0.694259,-0.694649,-0.14363,
+  -0.7003037139973485,-0.1389907216206266,-0.7001830726996985, -0.694609,-0.143845,-0.694244
 }
 {
   3, 37,21,42,
@@ -770,8 +770,8 @@ Discrete Surface {24} = {52, 81}
   3, 2,9,35,
   3, 27,30,39,
   3, 30,22,39,
-  3, 26,29,38,
   3, 29,24,38,
+  3, 26,29,38,
   3, 28,23,37,
   3, 25,28,37,
   3, 21,39,42,
@@ -806,10 +806,10 @@ Discrete Surface {24} = {52, 81}
   3, 17,18,51,
   3, 31,27,40,
   3, 24,31,40,
-  3, 33,26,41,
   3, 23,33,41,
-  3, 22,32,42,
+  3, 33,26,41,
   3, 32,25,42,
+  3, 22,32,42,
   3, 19,20,43,
   3, 9,10,47,
   3, 13,14,46,
@@ -855,37 +855,37 @@ Discrete Surface {26} = {52, 81}
   0.6234898018587486,0,0.7818314824680178, 0.614279,-0.0784977,0.778691,
   0.4338837391175694,0,0.9009688679024137, 0.450052,-0.0859335,0.883413,
   0.2225209339563205,0,0.9749279121818222, 0.239823,-0.104674,0.95999,
-  0.5562362296434961,-0.5892873078556938,0.5859536739929326, 0.542234,-0.590133,0.58476,
-  0.3796314825349849,-0.8420001196936768,0.3832982928577157, 0.372536,-0.841989,0.371718,
-  0.8419507438249307,-0.3832004904200041,0.3798425163456308, 0.839884,-0.374901,0.373385,
-  0.3795997889605596,-0.3832115849096774,0.8420527782719964, 0.372285,-0.37189,0.842032,
-  0.6752432432178528,-0.6726190830865764,0.3027047098667969, 0.670068,-0.670571,0.294811,
-  0.3217475856345762,-0.6695551673930276,0.6694582629265337, 0.32468,-0.663039,0.662877,
-  0.6727481513444341,-0.3076078244196542,0.6728947610714631, 0.668462,-0.300768,0.669104,
-  0.2226247189467085,-0.8187264055377045,0.5292717698247373, 0.207774,-0.808432,0.536662,
-  0.529097617338891,-0.8187546494143588,0.2229290562471284, 0.536748,-0.806972,0.211508,
-  0.818712912699621,-0.222794866349464,0.5292234276302621, 0.806682,-0.212467,0.536668,
-  0.5290281209352076,-0.2228626208160918,0.8188172112033028, 0.536361,-0.212193,0.807001,
-  0.8187477273742354,-0.5291154775817238,0.2229167600837858, 0.808069,-0.537184,0.20782,
-  0.2226542480795625,-0.5290616966468101,0.81885216662824, 0.207757,-0.536609,0.808474,
-  0.2409822723092984,-0.2412752005135825,0.9400606240275331, 0.210868,-0.211114,0.944579,
-  0.2411660665082127,-0.9400278170590572,0.2412190602815129, 0.210959,-0.944555,0.21111,
-  0.9399729757239843,-0.2412317021621383,0.2413671110554197, 0.944531,-0.211091,0.211075,
-  0.5499299045673076,-0.7147438131086656,0.4321092354168405, 0.550801,-0.710292,0.420844,
-  0.711854847669062,-0.43667044900069,0.5500741417728062, 0.705486,-0.428096,0.550875,
-  0.5468451287457297,-0.4356145731503094,0.7149825268866759, 0.54774,-0.424071,0.710903,
-  0.4070083452587369,-0.739816051018102,0.5357390992397756, 0.406585,-0.732542,0.532777,
-  0.4067327418519993,-0.5363181872054092,0.7395483869040502, 0.406009,-0.533962,0.731997,
-  0.7237478007374401,-0.55399220977013,0.4114386875478857, 0.708902,-0.555796,0.416652,
-  0.1731283969129083,-0.9055730119909453,0.3872519582024047, 0.168922,-0.903145,0.374614,
-  0.3870324919713079,-0.1733375755337634,0.9056248701683716, 0.374298,-0.169729,0.903057,
-  0.9055697866426883,-0.3871835396531579,0.1732982090449556, 0.903136,-0.374561,0.169059,
-  0.9055351630461584,-0.1731964558613719,0.3873100293853416, 0.90298,-0.169646,0.374514,
-  0.3871822963766063,-0.9055633174158881,0.17333478511914, 0.37441,-0.903005,0.169731,
-  0.1730639008746073,-0.3871909797471719,0.9056096742929142, 0.168871,-0.374569,0.903179,
-  0.7002101296688332,-0.7003004695285349,0.1388707116337176, 0.69453,-0.694338,0.14378,
-  0.1386198166489329,-0.7001949480302011,0.7003653614764979, 0.147574,-0.693851,0.693976,
-  0.7001878684342736,-0.1387563001500741,0.7003454592689433, 0.694236,-0.144732,0.694376
+  0.5562362296434989,-0.5892873078556966,0.5859536739929354, 0.542234,-0.590133,0.58476,
+  0.379631482535034,-0.8420001196937259,0.3832982928577649, 0.372536,-0.841989,0.371718,
+  0.8419507438249342,-0.3832004904200074,0.3798425163456342, 0.839884,-0.374901,0.373385,
+  0.3795997889605593,-0.383211584909677,0.8420527782719962, 0.372285,-0.37189,0.842032,
+  0.6752432432178479,-0.6726190830865717,0.3027047098667921, 0.670068,-0.670571,0.294811,
+  0.3217475856345757,-0.6695551673930269,0.6694582629265332, 0.32468,-0.663039,0.662877,
+  0.6727481513444266,-0.3076078244196465,0.6728947610714556, 0.668462,-0.300768,0.669104,
+  0.2226247189467654,-0.8187264055377613,0.5292717698247944, 0.207774,-0.808432,0.536662,
+  0.5290976173389155,-0.8187546494143835,0.2229290562471527, 0.536748,-0.806972,0.211508,
+  0.8187129126998818,-0.2227948663497247,0.529223427630523, 0.806682,-0.212467,0.536668,
+  0.5290281209351817,-0.2228626208160659,0.8188172112032769, 0.536361,-0.212193,0.807001,
+  0.8187477273741733,-0.5291154775816621,0.222916760083724, 0.808069,-0.537184,0.20782,
+  0.2226542480795667,-0.5290616966468142,0.818852166628244, 0.207757,-0.536609,0.808474,
+  0.2409822723092781,-0.2412752005135622,0.940060624027513, 0.210868,-0.211114,0.944579,
+  0.2411660665082168,-0.940027817059061,0.241219060281517, 0.210959,-0.944555,0.21111,
+  0.9399729757239932,-0.2412317021621468,0.2413671110554286, 0.944531,-0.211091,0.211075,
+  0.5499299045673061,-0.7147438131086641,0.432109235416839, 0.550801,-0.710292,0.420844,
+  0.711854847669069,-0.4366704490006968,0.5500741417728132, 0.705486,-0.428096,0.550875,
+  0.5468451287458627,-0.4356145731504423,0.7149825268868089, 0.54774,-0.424071,0.710903,
+  0.4070083452587269,-0.7398160510180921,0.5357390992397658, 0.406585,-0.732542,0.532777,
+  0.4067327418520041,-0.536318187205414,0.739548386904055, 0.406009,-0.533962,0.731997,
+  0.7237478007374487,-0.5539922097701387,0.4114386875478945, 0.708902,-0.555796,0.416652,
+  0.1731283969129102,-0.9055730119909469,0.3872519582024065, 0.168922,-0.903145,0.374614,
+  0.3870324919716934,-0.1733375755341491,0.905624870168757, 0.374298,-0.169729,0.903057,
+  0.9055697866426881,-0.3871835396531574,0.1732982090449555, 0.903136,-0.374561,0.169059,
+  0.9055351630461629,-0.1731964558613765,0.3873100293853463, 0.90298,-0.169646,0.374514,
+  0.3871822963766067,-0.9055633174158891,0.1733347851191408, 0.37441,-0.903005,0.169731,
+  0.1730639008743107,-0.3871909797468753,0.9056096742926176, 0.168871,-0.374569,0.903179,
+  0.7002101296688213,-0.7003004695285231,0.1388707116337059, 0.69453,-0.694338,0.14378,
+  0.138619816648913,-0.7001949480301813,0.7003653614764782, 0.147574,-0.693851,0.693976,
+  0.7001878684342804,-0.1387563001500807,0.7003454592689502, 0.694236,-0.144732,0.694376
 }
 {
   3, 26,40,21,
@@ -904,14 +904,14 @@ Discrete Surface {26} = {52, 81}
   3, 15,36,0,
   3, 2,34,20,
   3, 14,34,2,
-  3, 27,39,38,
   3, 38,39,21,
-  3, 27,38,30,
+  3, 27,39,38,
   3, 30,38,23,
-  3, 29,37,22,
+  3, 27,38,30,
   3, 25,37,29,
-  3, 24,39,31,
+  3, 29,37,22,
   3, 31,39,27,
+  3, 24,39,31,
   3, 21,42,38,
   3, 21,40,37,
   3, 39,41,21,
@@ -942,12 +942,12 @@ Discrete Surface {26} = {52, 81}
   3, 6,49,5,
   3, 11,50,12,
   3, 18,51,17,
-  3, 28,40,26,
   3, 22,40,28,
-  3, 26,41,33,
+  3, 28,40,26,
   3, 33,41,24,
-  3, 23,42,32,
+  3, 26,41,33,
   3, 32,42,25,
+  3, 23,42,32,
   3, 16,46,15,
   3, 9,43,10,
   3, 4,47,3,
@@ -972,139 +972,139 @@ Discrete Surface {26} = {52, 81}
 };
 Discrete Surface {28} = {52, 81}
 {
-  1,0,0, -0.984781,0.122363,0.122363,
-  0,-1,0, -0.12244,0.98476,0.122445,
-  0,0,-1, -0.122489,0.122494,0.984746,
-  0.2225209339563045,-0.9749279121818258,0, -0.239896,0.959969,0.104664,
-  0.4338837391175415,-0.9009688679024271,0, -0.450119,0.883386,0.0858381,
-  0.6234898018587169,-0.781831482468043,0, -0.614361,0.778634,0.0784066,
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diff --git a/demos/sphere-stl.stl b/demos/sphere-stl.stl
index a725309c9d7ac18494e4ea86170a4367b0543b1f..8bea12e636330ce7b640e2d3133fe9aef4069443 100644
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 endsolid Created by Gmsh
diff --git a/demos/sphere.geo b/demos/sphere.geo
index 28f5df5094209c8b8734dc508ba11d8389e02276..b8654b81b28c343eeb780cf41cb9e22577e0d2b6 100644
--- a/demos/sphere.geo
+++ b/demos/sphere.geo
@@ -18,7 +18,7 @@ Circle(9) = {2,1,7};
 Circle(10) = {7,1,4};
 Circle(11) = {4,1,6};
 Circle(12) = {6,1,2};
-Line Loop(13) = {-2,-8,10};
+Line Loop(13) = {2,8,-10};
 Ruled Surface(14) = {13};
 Line Loop(15) = {10,3,7};
 Ruled Surface(16) = {15};
@@ -26,15 +26,15 @@ Line Loop(17) = {-8,-9,1};
 Ruled Surface(18) = {17};
 Line Loop(19) = {-11,-2,5};
 Ruled Surface(20) = {19};
-Line Loop(21) = {5,12,1};
+Line Loop(21) = {-5,-12,-1};
 Ruled Surface(22) = {21};
 Line Loop(23) = {-3,11,6};
 Ruled Surface(24) = {23};
 Line Loop(25) = {-7,4,9};
 Ruled Surface(26) = {25};
-Line Loop(27) = {4,-12,6};
+Line Loop(27) = {-4,12,-6};
 Ruled Surface(28) = {27};
-Surface Loop(29) = {-28,26,16,-14,20,24,-22,18};
+Surface Loop(29) = {28,26,16,14,20,24,22,18};
 Volume(30) = {29};
 
 // try also netgen: