dotSCAD/test/test_sphere_spiral_extrude.scad

include <unittest.scad>;
include <rotate_p.scad>;
include <cross_sections.scad>;
include <polysections.scad>;
include <sphere_spiral.scad>;

module test_sphere_spiral_extrude_star() {
    echo("==== test_sphere_spiral_extrude_star ====");

    include <sphere_spiral_extrude.scad>;

    module test_sphere_spiral_extrude(sections) {
        expected =  [[[0, -8.23276, -39.1947], [0, -6.79756, -38.9674], [0, -6.57025, -37.5322], [0, -5.91056, -38.8269], [0, -4.47537, -38.5996], [0, -5.50285, -39.627], [0, -4.84316, -40.9217], [0, -6.13787, -40.2621], [0, -7.16536, -41.2895], [0, -6.93805, -39.8544]], [[0.29253, -8.37695, -39.1637], [0.242096, -6.93273, -38.9399], [0.233937, -6.69908, -37.4964], [0.210927, -6.04016, -38.8017], [0.160494, -4.59594, -38.578], [0.196706, -5.63292, -39.6084], [0.173696, -4.974, -40.9136], [0.219086, -6.27381, -40.2452], [0.255298, -7.31079, -41.2756], [0.247139, -7.07714, -39.8321]], [[0.595109, -8.51046, -39.1321], [0.493614, -7.05901, -38.912], [0.476849, -6.81925, -37.4603], [0.430887, -6.16197, -38.776], [0.329392, -4.71052, -38.556], [0.40248, -5.75574, -39.5892], [0.356518, -5.09845, -40.905], [0.447652, -6.40172, -40.2278], [0.520741, -7.44694, -41.2611], [0.503976, -7.20719, -39.8093]], [[0.907339, -8.63275, -39.1], [0.754217, -7.1759, -38.8836], [0.728405, -6.93031, -37.4236], [0.659583, -6.27551, -38.7499], [0.506462, -4.81866, -38.5336], [0.617049, -5.87083, -39.5697], [0.548228, -5.21604, -40.896], [0.685396, -6.52111, -40.21], [0.795983, -7.57328, -41.246], [0.770171, -7.32768, -39.786]], [[1.22879, -8.74332, -39.0673], [1.02355, -7.28292, -38.8547], [0.988252, -7.03178, -37.3865], [0.896698, -6.38034, -38.7234], [0.691452, -4.91994, -38.5109], [0.840115, -5.97773, -39.5496], [0.748562, -5.32629, -40.8866], [0.931994, -6.63148, -40.1916], [1.08066, -7.68928, -41.2304], [1.04536, -7.43813, -39.7622]], [[1.55903, -8.84167, -39.034], [1.30122, -7.3796, -38.8253], [1.25602, -7.12322, -37.3489], [1.14189, -6.47599, -38.6964], [0.88409, -5.01392, -38.4877], [1.07136, -6.07599, -39.5292], [0.957236, -5.42876, -40.8767], [1.1871, -6.73238, -40.1728], [1.37437, -7.79444, -41.2143], [1.32916, -7.53806, -39.7378]], [[1.89756, -8.92733, -39.0002], [1.58684, -7.4655, -38.7954], [1.5313, -7.20421, -37.3108], [1.3948, -6.56204, -38.6689], [1.08408, -5.10021, -38.4642], [1.31044, -6.16516, -39.5083], [1.17395, -5.52298, -40.8663], [1.45034, -6.82333, -40.1535], [1.6767, -7.88827, -41.1976], [1.62117, -7.62698, -39.713]], [[2.24391, -8.99982, -38.9658], [1.87998, -7.54017, -38.7651], [1.8137, -7.27434, -37.2723], [1.65505, -6.63806, -38.641], [1.29112, -5.17841, -38.4403], [1.55701, -6.24481, -39.4869], [1.39836, -5.60853, -40.8556], [1.72133, -6.90389, -40.1337], [1.98722, -7.97029, -41.1803], [1.92094, -7.70446, -39.6876]], [[2.59755, -9.05872, -38.9308], [2.18018, -7.6032, -38.7342], [2.10276, -7.33321, -37.2333], [1.92224, -6.70364, -38.6126], [1.50487, -5.24812, -38.416], [1.81067, -6.31454, -39.4651], [1.63014, -5.68498, -40.8444], [1.99966, -6.97363, -40.1135], [2.30545, -8.04006, -41.1626], [2.22803, -7.77006, -39.6617]], [[2.95794, -9.1036, -38.8953], [2.48699, -7.65418, -38.7028], [2.39805, -7.38043, -37.1939], [2.19594, -6.75839, -38.5838], [1.72499, -5.30898, -38.3913], [2.07102, -6.37395, -39.4428], [1.86891, -5.75192, -40.8327], [2.28488, -7.03215, -40.0927], [2.63091, -8.09712, -41.1443], [2.54197, -7.82337, -39.6353]], [[3.32453, -9.13406, -38.8592], [2.79993, -7.69274, -38.6709], [2.69908, -7.41565, -37.154], [2.47571, -6.80195, -38.5545], [1.95111, -5.36062, -38.3662], [2.33766, -6.42266, -39.4201], [2.11429, -5.80895, -40.8207], [2.57656, -7.07903, -40.0715], [2.96311, -8.14107, -41.1254], [2.86226, -7.86398, -39.6084]], [[3.69673, -9.14973, -38.8226], [3.11848, -7.7185, -38.6385], [3.00536, -7.43854, -37.1136], [2.7611, -6.83395, -38.5248], [2.18284, -5.40272, -38.3407], [2.61013, -6.4603, -39.397], [2.36586, -5.85571, -40.8082], [2.87421, -7.11391, -40.0497], [3.3015, -8.17149, -41.106], [3.18838, -7.89153, -39.581]], [[4.07396, -9.15026, -38.7854], [3.44212, -7.73113, -38.6057], [3.3164, -7.44876, -37.0727], [3.05162, -6.85406, -38.4946], [2.41979, -5.43493, -38.3149], [2.88798, -6.48652, -39.3733], [2.62321, -5.89182, -40.7952], [3.17735, -7.13643, -40.0275], [3.64554, -8.18802, -41.086], [3.51982, -7.90565, -39.5531]], [[4.45559, -9.13532, -38.7477], [3.77032, -7.73031, -38.5723], [3.63167, -7.44602, -37.0314], [3.3468, -6.86196, -38.4639], [2.66153, -5.45695, -38.2886], [3.17075, -6.501, -39.3493], [2.88588, -5.91694, -40.7818], [3.48546, -7.14625, -40.0048], [3.99467, -8.1903, -41.0655], [3.85602, -7.90601, -39.5246]], [[4.841, -9.1046, -38.7093], [4.10253, -7.71573, -38.5385], [3.95062, -7.43004, -36.9897], [3.64612, -6.85736, -38.4329], [2.90765, -5.46849, -38.262], [3.45793, -6.50342, -39.3248], [3.15343, -5.93074, -40.768], [3.79803, -7.14305, -39.9817], [4.34831, -8.17799, -41.0445], [4.19641, -7.8923, -39.4957]], [[5.22954, -9.05783, -38.6705], [4.43816, -7.68712, -38.5041], [4.27272, -7.40056, -36.9474], [3.94906, -6.83998, -38.4013], [3.15768, -5.46927, -38.235], [3.74903, -6.49351, -39.2999], [3.42538, -5.93293, -40.7537], [4.1145, -7.12653, -39.958], [4.70585, -8.15078, -41.0229], [4.54041, -7.86422, -39.4662]], [[5.62054, -8.99475, -38.6311], [4.77664, -7.64422, -38.4693], [4.59739, -7.35736, -36.9047], [4.25508, -6.80956, -38.3693], [3.41118, -5.45903, -38.2076], [4.04353, -6.471, -39.2745], [3.70122, -5.9232, -40.739], [4.43434, -7.09642, -39.9339], [5.06668, -8.10839, -41.0008], [4.88743, -7.82152, -39.4362]], [[6.01333, -8.91513, -38.5911], [5.11737, -7.58681, -38.434], [4.92405, -7.30021, -36.8616], [4.56364, -6.76587, -38.3369], [3.66767, -5.43755, -38.1798], [4.34089, -6.43563, -39.2486], [3.98047, -5.90129, -40.7239], [4.75695, -7.05247, -39.9092], [5.43017, -8.05055, -40.9781], [5.23685, -7.76395, -39.4057]], [[6.40723, -8.81879, -38.5505], [5.45974, -7.51469, -38.3981], [5.25213, -7.22894, -36.818], [4.87416, -6.7087, -38.304], [3.92667, -5.4046, -38.1516], [4.64056, -6.38718, -39.2224], [4.26259, -5.86695, -40.7083], [5.08177, -6.99445, -39.8841], [5.79566, -7.97704, -40.9549], [5.58805, -7.69129, -39.3747]], [[6.80153, -8.70556, -38.5094], [5.80312, -7.42766, -38.3618], [5.58102, -7.14337, -36.7739], [5.18608, -6.63788, -38.2706], [4.18767, -5.35998, -38.123], [4.94199, -6.32546, -39.1956], [4.54705, -5.81996, -40.6923], [5.40819, -6.92216, -39.8585], [6.1625, -7.88765, -40.9311], [5.9404, -7.60336, -39.3432]], [[7.19552, -8.57529, -38.4678], [6.14689, -7.32558, -38.325], [5.9101, -7.04339, -36.7294], [5.49881, -6.55322, -38.2368], [4.45018, -5.30352, -38.0941], [5.24461, -6.25029, -39.1685], [4.83332, -5.76012, -40.6759], [5.7356, -6.83542, -39.8325], [6.53003, -7.78219, -40.9068], [6.29324, -7.49999, -39.3112]], [[7.58849, -8.42787, -38.4256], [6.49041, -7.20833, -38.2878], [6.23878, -6.92886, -36.6844], [5.81176, -6.45461, -38.2026], [4.71368, -5.23507, -38.0648], [5.54784, -6.1615, -39.1409], [5.12082, -5.68725, -40.659], [6.06339, -6.73407, -39.8059], [6.89755, -7.66051, -40.882], [6.64592, -7.38104, -39.2787]], [[7.9797, -8.26322, -38.3828], [6.83301, -7.07579, -38.25], [6.56641, -6.79972, -36.639], [6.12432, -6.34192, -38.1679], [4.97763, -5.15449, -38.0351], [5.85109, -6.05898, -39.1128], [5.409, -5.60119, -40.6417], [6.39092, -6.61799, -39.7789], [7.26438, -7.52249, -40.8566], [6.99778, -7.24641, -39.2456]], [[8.36843, -8.08129, -38.3395], [7.17405, -6.9279, -38.2117], [6.89238, -6.65589, -36.5931], [6.43589, -6.21507, -38.1328], [5.24152, -5.06167, -38.005], [6.15377, -5.94262, -39.0843], [5.69728, -5.5018, -40.6239], [6.71757, -6.48708, -39.7513], [7.62982, -7.36803, -40.8307], [7.34814, -7.09602, -39.2121]], [[8.75393, -7.88207, -38.2956], [7.51287, -6.76462, -38.173], [7.21604, -6.49735, -36.5468], [6.74585, -6.07399, -38.0972], [5.50479, -4.95654, -37.9745], [6.45526, -5.81234, -39.0554], [5.98507, -5.38899, -40.6057], [7.04268, -6.34126, -39.7233], [7.99315, -7.19707, -40.8042], [7.69632, -6.9298, -39.178]], [[9.13546, -7.66556, -38.2512], [7.84879, -6.58592, -38.1337], [7.53675, -6.32409, -36.5], [7.05358, -5.91866, -38.0611], [5.76691, -4.83901, -37.9437], [6.75496, -5.66809, -39.026], [6.27179, -5.26266, -40.5871], [7.36562, -6.18049, -39.6949], [8.35367, -7.00956, -40.7771], [8.04164, -6.74773, -39.1434]], [[9.51228, -7.43181, -38.2062], [8.18114, -6.39181, -38.094], [7.85389, -6.13613, -36.4528], [7.35846, -5.74906, -38.0247], [6.02732, -4.70906, -37.9125], [7.05226, -5.50983, -38.9961], [6.55683, -5.12276, -40.568], [7.68571, -6.00474, -39.6659], [8.71066, -6.80551, -40.7496], [8.3834, -6.54983, -39.1083]], [[9.88364, -7.18088, -38.1607], [8.50926, -6.18234, -38.0538], [8.16679, -5.93352, -36.4051], [7.65984, -5.5652, -37.9877], [6.28547, -4.56666, -37.8809], [7.34654, -5.33757, -38.9659], [6.83959, -4.96926, -40.5485], [8.00231, -5.81402, -39.6365], [9.06339, -6.58494, -40.7215], [8.72092, -6.33612, -39.0728]], [[10.2488, -6.91289, -38.1146], [8.83246, -5.95757, -38.0131], [8.47481, -5.71633, -36.357], [7.95712, -5.36714, -37.9504], [6.54079, -4.41182, -37.8489], [7.63717, -5.15133, -38.9352], [7.11947, -4.80214, -40.5286], [8.31476, -5.60838, -39.6065], [9.41113, -6.34789, -40.6928], [9.05349, -6.10666, -39.0367]], [[10.607, -6.62797, -38.068], [9.15007, -5.7176, -37.9719], [8.77732, -5.48468, -36.3084], [8.24965, -5.15495, -37.9126], [6.79274, -4.24457, -37.8165], [7.92352, -4.95117, -38.904], [7.39585, -4.62144, -40.5082], [8.62239, -5.38787, -39.5761], [9.75317, -6.09446, -40.6636], [9.38043, -5.86154, -39.0001]], [[10.9575, -6.32629, -38.0208], [9.46141, -5.46255, -37.9303], [9.07367, -5.23869, -36.2593], [8.5368, -4.92872, -37.8743], [7.04074, -4.06498, -37.7838], [8.20499, -4.73715, -38.8724], [7.66812, -4.42719, -40.4874], [8.92453, -5.15258, -39.5452], [10.0888, -5.82476, -40.6339], [9.70104, -5.6009, -38.9629]], [[11.2995, -6.00805, -37.9731], [9.76581, -5.19257, -37.8881], [9.36321, -4.97851, -36.2099], [8.81794, -4.68858, -37.8356], [7.28425, -3.8731, -37.7507], [8.48094, -4.5094, -38.8404], [7.93566, -4.21947, -40.4661], [9.22054, -4.90265, -39.5139], [10.4172, -5.53894, -40.6036], [10.0146, -5.32487, -38.9253]], [[11.6324, -5.67348, -37.9248], [10.0626, -4.90786, -37.8455], [9.64532, -4.70434, -36.1599], [9.09245, -4.43468, -37.7965], [7.52269, -3.66906, -37.7172], [8.75075, -4.26803, -38.8079], [8.19788, -3.99837, -40.4444], [9.50973, -4.63821, -39.482], [10.7378, -5.23717, -40.5728], [10.3205, -5.03365, -38.8872]], [[11.9553, -5.32285, -37.876], [10.3511, -4.60862, -37.8024], [9.91936, -4.41638, -36.1096], [9.3597, -4.16721, -37.7569], [7.75551, -3.45298, -37.6833], [9.0138, -4.0132, -38.775], [8.45414, -3.76402, -40.4223], [9.79147, -4.35944, -39.4497], [11.0498, -4.91967, -40.5414], [10.618, -4.72743, -38.8486]], [[12.2676, -4.95645, -37.8266], [10.6307, -4.29509, -37.7588], [10.1847, -4.11489, -36.0588], [9.61907, -3.88636, -37.7169], [7.98216, -3.225, -37.649], [9.26948, -3.74511, -38.7416], [8.70384, -3.51658, -40.3997], [10.0651, -4.06656, -39.4169], [11.3524, -4.58668, -40.5095], [10.9064, -4.40647, -38.8094]], [[12.5686, -4.5746, -37.7767], [10.9007, -3.96755, -37.7147], [10.4407, -3.80012, -36.0075], [9.86995, -3.59237, -37.6764], [8.20208, -2.98531, -37.6144], [9.51718, 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21.9938], [27.9389, 14.8554, 15.4693], [29.5547, 15.7145, 22.2045], [35.7098, 18.9872, 22.5455], [30.5532, 16.2454, 26.3671], [32.169, 17.1045, 33.1024], [27.3663, 14.5509, 28.7291]], [[21.6787, 12.5162, 32.6482], [23.8476, 13.7684, 26.1238], [19.1441, 11.0528, 21.7257], [25.1881, 14.5424, 22.0914], [27.3571, 15.7946, 15.567], [28.9236, 16.699, 22.3175], [34.9676, 20.1886, 22.6832], [29.8917, 17.258, 26.4895], [31.4582, 18.1624, 33.24], [26.7546, 15.4468, 28.8419]], [[21.1251, 13.2004, 32.7452], [23.2711, 14.5414, 26.221], [18.6722, 11.6677, 21.7981], [24.5975, 15.3702, 22.1887], [26.7436, 16.7112, 15.6644], [28.2595, 17.6585, 22.4302], [34.1848, 21.361, 22.8208], [29.1964, 18.244, 26.6116], [30.7124, 19.1912, 33.3773], [26.1134, 16.3175, 28.9544]], [[20.55, 13.8611, 32.8418], [22.6696, 15.2908, 26.3178], [18.1806, 12.263, 21.8702], [23.9796, 16.1744, 22.2858], [26.0992, 17.6041, 15.7618], [27.5635, 18.5918, 22.5426], [33.3624, 22.5032, 22.9582], [28.4685, 19.2022, 26.7334], [29.9328, 20.1899, 33.5142], [25.4439, 17.1621, 29.0666]], [[19.9543, 14.4976, 32.9379], [22.0439, 16.0158, 26.4143], [17.6702, 12.8381, 21.9419], [23.3353, 16.9541, 22.3825], [25.4249, 18.4723, 15.8589], [26.8365, 19.4979, 22.6548], [32.5017, 23.6138, 23.0953], [27.709, 20.1318, 26.8549], [29.1206, 21.1574, 33.6508], [24.747, 17.9797, 29.1784]], [[19.339, 15.1093, 33.0336], [21.395, 16.7156, 26.5104], [17.1416, 13.3925, 22.0133], [22.6657, 17.7084, 22.4789], [24.7216, 19.3147, 15.9558], [26.0797, 20.3757, 22.7667], [31.6037, 24.6915, 23.2323], [26.919, 21.0315, 26.9761], [28.2771, 22.0925, 33.7869], [24.0237, 18.7694, 29.2898]], [[18.7052, 15.6956, 33.1288], [20.724, 17.3895, 26.6062], [16.5958, 13.9255, 22.0844], [21.9716, 18.4364, 22.5751], [23.9904, 20.1303, 16.0526], [25.2941, 21.2242, 22.8784], [30.6699, 25.7351, 23.3691], [26.0998, 21.9003, 27.0969], [27.4035, 22.9943, 33.9228], [23.2753, 19.5303, 29.4009]], [[18.0539, 16.2558, 33.2235], [20.0318, 18.0367, 26.7017], [16.0336, 14.4367, 22.155], [21.2542, 19.1374, 22.6709], [23.2321, 20.9183, 16.1491], [24.4808, 22.0426, 22.9898], [29.7014, 26.7433, 23.5057], [25.2525, 22.7374, 27.2175], [26.5011, 23.8617, 34.0582], [22.5029, 20.2617, 29.5116]], [[17.3862, 16.7896, 33.3178], [19.3196, 18.6567, 26.7967], [15.4558, 14.9255, 22.2254], [20.5145, 19.8106, 22.7665], [22.4479, 21.6777, 16.2455], [23.641, 22.8298, 23.1009], [28.6997, 27.715, 23.642], [24.3783, 23.5419, 27.3378], [25.5713, 24.694, 34.1933], [21.7076, 20.9627, 29.622]], [[16.703, 17.2965, 33.4116], [18.5884, 19.2488, 26.8914], [14.8634, 15.3915, 22.2954], [19.7536, 20.4554, 22.8618], [21.6389, 22.4078, 16.3416], [22.7759, 23.5851, 23.2118], [27.6661, 28.649, 23.7782], [23.4785, 24.3127, 27.4578], [24.6155, 25.4901, 34.328], [20.8905, 21.6328, 29.732]], [[16.0055, 17.7759, 33.5049], [17.8392, 19.8124, 26.9858], [14.2572, 15.8342, 22.365], [18.9725, 21.071, 22.9568], [20.8061, 23.1075, 16.4376], [21.8867, 24.3076, 23.3225], [26.6019, 29.5444, 23.9142], [22.5545, 25.0493, 27.5775], [23.635, 26.2493, 34.4624], [20.053, 22.2711, 29.8416]], [[15.2948, 18.2276, 33.5978], [17.0732, 20.347, 27.0798], [13.6381, 16.2532, 22.4343], [18.1723, 21.6569, 23.0514], [19.9507, 23.7763, 16.5334], [20.9746, 24.9965, 23.4328], [25.5088, 30.4002, 24.05], [21.6074, 25.7507, 27.6969], [22.6312, 26.9709, 34.5963], [19.1962, 22.8771, 29.9508]], [[14.5719, 18.6511, 33.6902], [16.2915, 20.8521, 27.1734], [13.0071, 16.6483, 22.5032], [17.3542, 22.2124, 23.1458], [19.0738, 24.4134, 16.629], [20.0409, 25.6512, 23.5429], [24.3881, 31.2153, 24.1855], [20.6386, 26.4162, 27.816], [21.6057, 27.654, 34.7299], [18.3213, 23.4502, 30.0597]], [[13.8379, 19.0463, 33.7821], [15.4952, 21.3273, 27.2667], [12.365, 17.019, 22.5718], [16.5194, 22.737, 23.2399], [18.1767, 25.0181, 16.7244], [19.087, 26.271, 23.6528], [23.2413, 31.989, 24.3209], [19.6496, 27.0453, 27.9348], [20.5599, 28.2982, 34.8632], [17.4297, 23.9899, 30.1683]], [[13.0941, 19.4127, 33.8736], [14.6855, 21.7721, 27.3596], [11.7129, 17.3651, 22.64], [15.669, 23.2303, 23.3337], [17.2604, 25.5896, 16.8196], [18.114, 26.8551, 23.7624], [22.0701, 32.7203, 24.456], [18.6416, 27.6373, 28.0532], [19.4952, 28.9028, 34.996], [16.5226, 24.4958, 30.2764]], [[12.3414, 19.7503, 33.9646], [13.8635, 22.1862, 27.4521], [11.0516, 17.6863, 22.7078], [14.8042, 23.6917, 23.4271], [16.3263, 26.1276, 16.9146], [17.1234, 27.4032, 23.8717], [20.876, 33.4085, 24.591], [17.616, 28.1915, 28.1714], [18.4131, 29.4672, 35.1285], [15.6013, 24.9673, 30.3842]], [[11.581, 20.0588, 34.0551], [13.0304, 22.5693, 27.5442], [10.3822, 17.9824, 22.7753], [13.9262, 24.1208, 23.5203], [15.3756, 26.6313, 17.0094], [16.1165, 27.9146, 23.9807], [19.6605, 34.0529, 24.7257], [16.5744, 28.7077, 28.2892], [17.3153, 29.9909, 35.2605], [14.6671, 25.4041, 30.4916]], [[10.814, 20.3382, 34.1452], [12.1873, 22.9211, 27.636], [9.70545, 18.2533, 22.8425], [13.0361, 24.5174, 23.6132], [14.4095, 27.1003, 17.1041], [15.0946, 28.3888, 24.0895], [18.4253, 34.6529, 24.8602], [15.518, 29.1852, 28.4068], [16.2031, 30.4737, 35.3922], [13.7212, 25.8059, 30.5986]], [[10.0416, 20.5882, 34.2347], [11.3355, 23.2413, 27.7275], [9.02243, 18.4987, 22.9092], [12.1353, 24.881, 23.7057], [13.4293, 27.5341, 17.1985], [14.0591, 28.8255, 24.198], [17.172, 35.2078, 24.9945], [14.4484, 29.6236, 28.524], [15.0783, 30.915, 35.5235], [12.7651, 26.1724, 30.7053]], [[9.26476, 20.809, 34.3238], [10.4762, 23.5299, 27.8185], [8.33406, 18.7186, 22.9757], [11.2249, 25.2115, 23.798], [12.4363, 27.9323, 17.2927], [13.0115, 29.2242, 24.3062], [15.9023, 35.7171, 25.1286], [13.367, 30.0227, 28.6409], [13.9422, 31.3146, 35.6544], [11.8001, 26.5034, 30.8116]], [[8.48472, 21.0004, 34.4125], [9.61039, 23.7865, 27.9092], [7.64131, 18.9129, 23.0417], [10.3061, 25.5085, 23.89], [11.4318, 28.2946, 17.3867], [11.953, 29.5847, 24.4142], [14.6178, 36.1803, 25.2624], [12.2752, 30.3821, 28.7574], [12.7964, 31.6723, 35.7849], [10.8273, 26.7986, 30.9175]], [[7.70256, 21.1626, 34.5006], [8.73939, 24.0113, 27.9995], [6.94511, 19.0815, 23.1074], [9.3802, 25.7719, 23.9816], [10.417, 28.6206, 17.4805], [10.8852, 29.9067, 24.5219], [13.3202, 36.597, 25.3961], [11.1745, 30.7016, 28.8737], [11.6426, 31.9878, 35.9151], [9.84832, 27.058, 31.023]], [[6.91936, 21.2956, 34.5883], [7.86437, 24.204, 28.0894], [6.24643, 19.2245, 23.1727], [8.44841, 26.0015, 24.0729], [9.39342, 28.91, 17.5741], [9.80931, 30.19, 24.6293], [12.0113, 36.967, 25.5295], [10.0663, 30.981, 28.9896], [10.4822, 32.261, 36.0448], [8.8643, 27.2815, 31.1281]], [[6.13621, 21.3995, 34.6754], [6.98648, 24.3648, 28.179], [5.54621, 19.3419, 23.2377], [7.51198, 26.1974, 24.164], [8.36225, 29.1626, 17.6675], [8.72689, 30.4343, 24.7364], [10.6927, 37.2897, 25.6627], [8.95225, 31.2202, 29.1052], [9.3169, 32.4919, 36.1741], [7.87662, 27.469, 31.2329]], [[5.35421, 21.4746, 34.7621], [6.10692, 24.4935, 28.2682], [4.84538, 19.4338, 23.3023], [6.57212, 26.3593, 24.2547], [7.32483, 29.3783, 17.7607], [7.63931, 30.6396, 24.8433], [9.36604, 37.5652, 25.7956], [7.83366, 31.4191, 29.2205], [8.14813, 32.6804, 36.3031], [6.88659, 27.6206, 31.3372]], [[4.57441, 21.5209, 34.8483], [5.22685, 24.5904, 28.357], [4.14489, 19.5002, 23.3666], [5.63008, 26.4874, 24.3451], [6.28251, 29.5569, 17.8537], [6.54797, 30.8058, 24.9499], [8.03316, 37.7931, 25.9284], [6.71204, 31.5777, 29.3355], [6.9775, 32.8266, 36.4316], [5.89554, 27.7363, 31.4412]], [[3.79788, 21.5388, 34.9341], [4.34743, 24.6555, 28.4454], [3.44565, 19.5413, 23.4305], [4.68707, 26.5817, 24.4352], [5.23662, 29.6983, 17.9465], [5.45431, 30.9329, 25.0561], [6.69572, 37.9733, 26.0609], [5.58885, 31.6959, 29.4501], [5.80654, 32.9305, 36.5598], [4.90476, 27.8163, 31.5448]], [[3.02565, 21.5286, 35.0193], [3.46981, 24.689, 28.5334], [2.74859, 19.5572, 23.494], [3.74432, 26.6422, 24.525], [4.18848, 29.8026, 18.0391], [4.35971, 31.021, 25.1622], [5.35544, 38.106, 26.1932], [4.46554, 31.774, 29.5644], [4.63678, 32.9924, 36.6875], [3.91555, 27.8606, 31.648]], [[2.25875, 21.4906, 35.104], [2.59514, 24.6911, 28.6211], [2.0546, 19.5482, 23.5571], [2.80304, 26.6691, 24.6144], [3.13943, 29.8696, 18.1315], [3.26559, 31.0701, 25.2679], [4.01403, 38.1909, 26.3252], [3.34357, 31.812, 29.6784], [3.46974, 33.0124, 36.8148], [2.92921, 27.8695, 31.7508]], [[1.49818, 21.425, 35.1883], [1.72454, 24.662, 28.7084], [1.36459, 19.5146, 23.6199], [1.86443, 26.6626, 24.7036], [2.09078, 29.8996, 18.2237], [2.17335, 31.0803, 25.3733], [2.67319, 38.2284, 26.457], [2.22438, 31.8101, 29.7921], [2.30694, 32.9908, 36.9417], [1.947, 27.8433, 31.8532]], [[0.744945, 21.3324, 35.2721], [0.859124, 24.6021, 28.7953], [0.679434, 19.4564, 23.6823], [0.929691, 26.6229, 24.7924], [1.04387, 29.8925, 18.3156], [1.08436, 31.0519, 25.4785], [1.33461, 38.2184, 26.5886], [1.10938, 31.7685, 29.9054], [1.14987, 32.9279, 37.0682], [0.970179, 27.7823, 31.9553]], [[0, 21.2132, 35.3553], [0, 24.5116, 28.8818], [0, 19.3742, 23.7444], [0, 26.5502, 24.8809], [0, 29.8486, 18.4074], [0, 30.9852, 25.5834], [0, 38.1612, 26.7199], [0, 31.6876, 30.0184], [0, 32.8242, 37.1943], [0, 27.6867, 32.0569]]];    
    
   
        for(i = [0:len(sections) - 1]) {
            assertEqualPoints(expected[i], sections[i]);
        }
    }    
    
    function shape_pentagram(r) = 
        [
            [0, 1], [-0.224514, 0.309017], 
            [-0.951057, 0.309017], [-0.363271, -0.118034], 
            [-0.587785, -0.809017], [0, -0.381966], 
            [0.587785, -0.809017], [0.363271, -0.118034], 
            [0.951057, 0.309017], [0.224514, 0.309017]
        ] * r;

    points_triangles = shape_pentagram(2);

    sphere_spiral_extrude(
        shape_pts = points_triangles,
        radius = 40, 
        za_step = 2, 
        z_circles = 20, 
        begin_angle = 90, 
        end_angle = 450,
        vt_dir = "SPI_UP",
        scale = 5
    );

}

test_sphere_spiral_extrude_star();