Chương I. §1. Khái niệm về khối đa diện

Chia sẻ bởi Đặng Đình Tình | Ngày 09/05/2019 | 59
Chia sẻ tài liệu: Chương I. §1. Khái niệm về khối đa diện thuộc Hình học 12

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2.0.0 (279,Windows NT) stopped off 1.000 %41 %1 O_point defined (0,0,0,1) sphere_point_style normal_point_size red hidden_layer point3_base_point_size X1_point no_display no_picking (1,0,0,1) Y1_point no_display no_picking (0,1,0,1) Z1_point no_display no_picking (0,0,1,1) I_vector defined (0,0,0,1) (1,0,0) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius orange_red vector3_base_point_size vector3_base_curve_radius J_vector defined (0,0,0,1) (0,1,0) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius lawn_green vector3_base_point_size vector3_base_curve_radius K_vector defined (0,0,0,1) (0,0,1) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius steel_blue vector3_base_point_size vector3_base_curve_radius document_toolbar default_document_toolbar Z0_Plane defined (0,0,1,0) normal_surface_thickness solid_surface_style ivory default_layer solid_curve_style normal_curve_radius dim_gray template_plane3_base_surface_thickness plane3_base_curve_radius doc_settings -215 330 document_window 0 600 600 0 0 2 %1 1 29.700 21.000 %8 %41 %6 15.000 11.500 %7 origin3 %7 ((-0.19936793441719705,-0.25362317632233283,0.94653458001194601,0),(0.97992470462082959,-0.05160021840992092,0.19257463678747586,0),(0,0.96592582628906831,0.25881904510252074,0),(0,0,0,1)) %8 1.500 1.500 18.000 18.000 default_surface_clipping_transfo3 %7 central_medium_lens default_layer default_clipping_transfo3 no_auto_rotate %9 I_vector O_point X1_point %10 J_vector O_point Y1_point %11 K_vector O_point Z1_point %15 defined (0.46599781384171835,-3.3085179123195871,0,1) sphere_point_style normal_point_size red hidden_layer point3_base_point_size %16 (0.13361511385530481,-0.94864822197867771,0.28672905727555353) %15 Z0_Plane %17 (0.37637634296059513,0.41075537413217567,0.83043414614353683)(-0.012769409508329836,3.8031451817300361,0) {3} %18 Z0_Plane %15 %18 defined normal_surface_thickness solid_surface_style light_green sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius green subplane3_base_surface_thickness subplane3_base_point_size subplane3_base_curve_radius %19 defined (-5.5665383271922551,-8.4237291927415008,0,1) sphere_point_style normal_point_size red hidden_layer point3_base_point_size %20 (-5.5665383271922551,-8.4237291927415008,0,1) %19 %21 %22 %19 %23 %22 defined (-5.5665383271922551,-8.4237291927415008,0,1) (-17.126886263007563,-5.2539364735050178,0) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius green vector3_base_point_size vector3_base_curve_radius %23 defined (-22.693424590199822,-13.67766566624652,0,1) sphere_point_style normal_point_size red hidden_layer point3_base_point_size %24 (-22.693424590199822,-13.67766566624652,0,1) %23 %25 %26 %22 %18 %26 no_hidden defined ( F(G,X(-19.94812408607028,-10.475085609715162,0),Q(0.98894583778729916,0,0,0.14827720635072977),D1), F(G,X(-13.360883402753084,-10.452968343664086,0),Q(0,0.4985454216164279,0.86686357783984558,0),D1), F(G,X(-2.8212378230627149,-5.221149136210145,0),Q(0.86518478898017304,0,0,0.50145316921656147),D1), F(G,X(0.45322840433338857,0.49462726941044988,0),Q(0,-0.14827720635073041,0.98894583778729905,0),D1), F(G,X(-2.8212378230627149,-5.221149136210145,0),Q(-0.14827720635073013,0,0,0.98894583778729916),D1), L(0,2,2,0,179.99999914622634), L(0,3,4,3,179.99999914622634), L(1,0,0,0,1.2074182745060872e-6), L(1,1,4,2,8.5377364625159387e-7), L(1,2,3,2,179.99999829245272), L(2,2,4,0,180), L(3,0,2,1,1.4787793323740617e-6), L(3,1,0,1,1.7075472925031877e-6), L(3,3,4,1,1.4787793323740617e-6) ) normal_surface_thickness solid_surface_style alice_blue sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius midnight_blue polynet3_base_surface_thickness polynet3_base_point_size polynet3_base_curve_radius %27 defined (0.80781014634009762,1.6829709510493813,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %28 (0.38144381356940643,0.79469026305660517,0.47219487808811711) %27 Z0_Plane %29 defined (3.1738998818093078,3.5090500815754164,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %30 (0.6563043580907314,0.72560728033542621,0.2067816826397812) %29 Z0_Plane %31 defined (0.99424170146596047,4.843530766952302,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %32 (0.19708906464213657,0.96013569639708196,0.19823053524262607) %31 Z0_Plane %33 defined (-3.5306399274515163,4.4007345872451023,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %34 (-0.61617706780999726,0.76802839992126681,0.17452277220882326) %33 Z0_Plane %35 %36 %27 %29 %31 %33 %36 defined normal_surface_thickness solid_surface_style light_green sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius green subplane3_base_surface_thickness subplane3_base_point_size subplane3_base_curve_radius %37 %38 %36 %39 %38 no_hidden defined ( F(G,X(-17.065296049525216,-0.79249881702457903,0),Q(0,0.9885833085400636,0.15067528687870965,0),D1), F(G,X(0.99424170146596047,4.843530766952302,0),Q(0,-0.15067528687870985,0.98858330854006349,0),D1), F(G,X(3.1738998818093065,3.5090500815754164,0),Q(-0.32276060395156858,0,0,0.94648063505642766),D1), F(G,X(0.80781014634009762,1.6829709510493816,0),Q(-0.068759164473770326,0,0,0.99763328798755957),D1), F(G,X(3.1738998818093065,3.5090500815754164,0),Q(0,-0.10451847269412212,0.99452294536912922,0),D1), L(0,0,3,1,0), L(0,1,2,1,0), L(0,2,1,2,179.99999879258172), L(1,1,4,2,179.99999852122068), L(2,0,1,0,1.2074182745060872e-6), L(2,2,3,0,180), L(2,3,4,0,8.5377364625159387e-7), L(3,2,4,1,8.5377364625159387e-7) ) normal_surface_thickness solid_surface_style alice_blue sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius midnight_blue polynet3_base_surface_thickness polynet3_base_point_size polynet3_base_curve_radius %39 defined (-17.065296049525216,-0.79249881702457903,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %40 (-17.065296049525216,-0.79249881702457903,0,1) %39 %41 19.500 2.000 3.150 18.000 %42 %42

B�i 2 : KHỐI ĐA DIỆN LỒI V� KHỐI ĐA DIỆN ĐỀU

I- KHỐI ĐA DIỆN LỒI

Khối đa diện (H) được gọi l� khối đa diện lồi nếu đoạn thẳng nối hai điểm bất kỳ của (H) lu�n thuộc (H). Khi đ� đa diện x�c định (H) được gọi l� đa diện lồi.

]]> 2.0.0 (279,Windows NT) stopped off 1.749 %8 %1 doc_settings 660 65 document_window 0 600 600 0 0 2 Z0_Plane defined (0,0,1,0) normal_surface_thickness solid_surface_style ivory hidden_layer solid_curve_style normal_curve_radius dim_gray template_plane3_base_surface_thickness plane3_base_curve_radius document_toolbar default_document_toolbar K_vector defined (0,0,0,1) (0,0,1) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius steel_blue vector3_base_point_size vector3_base_curve_radius J_vector defined (0,0,0,1) (0,1,0) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius lawn_green vector3_base_point_size vector3_base_curve_radius I_vector defined (0,0,0,1) (1,0,0) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius orange_red vector3_base_point_size vector3_base_curve_radius Z1_point no_display no_picking (0,0,1,1) Y1_point no_display no_picking (0,1,0,1) X1_point no_display no_picking (1,0,0,1) O_point defined (0,0,0,1) sphere_point_style normal_point_size red hidden_layer point3_base_point_size %1 1 29.700 21.000 %8 %49 %6 17.500 18.000 %7 origin3 %7 ((-0.30901699437494734,-0.28598821010628289,0.90703872071024538,0),(0.95105651629515364,-0.092923202353925996,0.29471474560465677,0),(0,0.95371695074822693,0.30070579950427306,0),(0,0,0,1)) %8 1.500 1.500 18.000 18.000 default_surface_clipping_transfo3 %7 central_medium_lens default_layer default_clipping_transfo3 no_auto_rotate %9 I_vector O_point X1_point %10 J_vector O_point Y1_point %11 K_vector O_point Z1_point %15 defined (1.2043966362818139,-3.4535633212331511,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %16 (0.31763274300519967,-0.91080027776560246,0.26372769022818621) %15 Z0_Plane %17 defined (-2.2645871037711061,-2.4100585380457353,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %18 (-0.65546003804974828,-0.69756515808951936,0.28943909331561712) %17 Z0_Plane %19 defined (-0.93127441265730937,0.90198408630533145,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %20 (-0.56877648103516032,0.55088739429077893,0.6107506802556798) %19 Z0_Plane %21 defined (2.212012997264587,1.0244686174455033,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %22 (0.83951519071156866,0.38881189568792762,0.37952543305564995) %21 Z0_Plane %23 defined (3.9792153772051226,-1.0427838779914094,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %24 (0.93996054175774702,-0.24632386186180619,0.23621755865296898) %23 Z0_Plane %25 %26 %15 %17 %19 %21 %23 %26 defined normal_surface_thickness no_surface_style light_green sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius green subplane3_base_surface_thickness subplane3_base_point_size subplane3_base_curve_radius %27 %28 %26 %29 %28 no_hidden defined ( F(G,X(-18.496294380941833,-8.0647513738219843,0),Q(0.97869309653526526,0,0,0.20532857276622227),D1), F(G,X(2.2120129972645861,1.0244686174455024,0),Q(-0.20532857276622149,0,0,0.97869309653526548),D1), F(G,X(-0.93127441265730837,0.90198408630533067,0),Q(0,-0.23381680396240742,0.97228067047782296,0),D1), F(G,X(-2.2645871037711047,-2.4100585380457344,0),Q(0,0.98934638807535102,-0.14558064569940907,0),D1), F(G,X(1.2043966362818137,-3.4535633212331494,0),Q(-0.11470849293986561,0,0,0.99339919551379996),D1), F(G,X(-2.2645871037711047,-2.4100585380457344,0),Q(0,-0.16682872458672129,0.98598589069660014,0),D1), L(0,1,3,2,1.2074182745060872e-6), L(1,0,3,1,8.5377364625159387e-7), L(1,2,0,2,179.99999852122068), L(2,0,3,0,179.99999914622634), L(2,1,5,2,179.99999879258172), L(2,2,1,1,1.2074182745060872e-6), L(3,4,5,0,179.99999914622634), L(4,0,3,3,0), L(4,1,0,0,179.99999879258172), L(4,2,5,1,8.5377364625159387e-7) ) normal_surface_thickness no_surface_style alice_blue sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius midnight_blue polynet3_base_surface_thickness polynet3_base_point_size polynet3_base_curve_radius %29 defined (-18.496294380941833,-8.0647513738219843,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %30 (-18.496294380941833,-8.0647513738219843,0,1) %29 %31 %32 %17 %29 %15 %32 defined normal_surface_thickness solid_surface_style medium_spring_green sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius green subplane3_base_surface_thickness subplane3_base_point_size subplane3_base_curve_radius %33 defined (12.373075343653348,4.2633418495127531,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %34 (12.373075343653348,4.2633418495127531,0,1) %33 %35 defined (8.2737583776382593,4.1983509751174974,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %36 (8.2737583776382593,4.1983509751174974,0,1) %35 %37 defined (11.717331557325393,6.0435805870150405,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %38 (11.717331557325393,6.0435805870150405,0,1) %37 %39 defined (7.0735469720104334,6.9784270006936557,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %40 (7.0735469720104334,6.9784270006936557,0,1) %39 %41 defined (6.5098721403253208,5.436301001208788,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %42 (6.5098721403253208,5.436301001208788,0,1) %41 %43 %44 %33 %35 %37 %39 %41 %44 defined normal_surface_thickness solid_surface_style light_green sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius green subplane3_base_surface_thickness subplane3_base_point_size subplane3_base_curve_radius %45 %46 %44 %47 %46 no_hidden defined ( F(G,X(-1.7738781124408192,1.6562338266405181,0),Q(0.96356248986834558,0,0,0.26748332306653211),D1), F(G,X(7.0735469720104325,6.9784270006936566,0),Q(0,-0.26748332306653272,0.96356248986834514,0),D1), F(G,X(11.717331557325394,6.0435805870150414,0),Q(0,-0.15655983926051875,0.98766847511233258,0),D1), F(G,X(8.2737583776382593,4.1983509751174966,0),Q(0,0.99996858647058939,0.0079262899272775217,0),D1), F(G,X(12.373075343653348,4.2633418495127522,0),Q(-0.090995377912431064,0,0,0.99585131480486278),D1), F(G,X(8.2737583776382593,4.1983509751174966,0),Q(0,-0.12358635879159192,0.99233382080862076,0),D1), L(0,1,3,2,0), L(1,2,0,2,0), L(2,1,5,2,179.99999829245272), L(2,2,1,1,179.99999829245272), L(3,0,2,0,179.99999829245272), L(3,1,1,0,179.99999829245272), L(3,4,5,0,179.99999829245272), L(4,0,3,3,0), L(4,1,0,0,nan), L(5,1,4,2,0) ) normal_surface_thickness solid_surface_style alice_blue sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius midnight_blue polynet3_base_surface_thickness polynet3_base_point_size polynet3_base_curve_radius %47 defined (-1.7738781124408192,1.6562338266405181,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %48 (-1.7738781124408192,1.6562338266405181,0,1) %47 %49 16.500 3.000 2.500 14.000 %50 %50

Đa gi�c n�o l� đa gi�c lồi , đa gi�c n�o kh�ng l� đa gi�c lồi ? Giải th�ch ?

]]> %51 %52 %33 %37 %52 defined (12.373075343653348,4.2633418495127531,0,1)(11.717331557325393,6.0435805870150405,0,1) sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius brown subline3_base_point_size subline3_base_curve_radius 2.0.0 (279,Windows NT) stopped off 0.915 %8 %1 doc_settings 404 -249 document_window 0 600 600 0 0 2 Z0_Plane defined (0,0,1,0) normal_surface_thickness solid_surface_style ivory hidden_layer solid_curve_style normal_curve_radius dim_gray template_plane3_base_surface_thickness plane3_base_curve_radius document_toolbar default_document_toolbar K_vector defined (0,0,0,1) (0,0,1) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius steel_blue vector3_base_point_size vector3_base_curve_radius J_vector defined (0,0,0,1) (0,1,0) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius lawn_green vector3_base_point_size vector3_base_curve_radius I_vector defined (0,0,0,1) (1,0,0) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius orange_red vector3_base_point_size vector3_base_curve_radius Z1_point no_display no_picking (0,0,1,1) Y1_point no_display no_picking (0,1,0,1) X1_point no_display no_picking (1,0,0,1) O_point defined (0,0,0,1) sphere_point_style normal_point_size red hidden_layer point3_base_point_size %1 1 29.700 21.000 %8 %23 %25 %6 20.000 14.710 %7 origin3 %7 ((-0.2539232334346016,-0.33081021935284627,0.90889360779677542,0),(0.96722437496276781,-0.086846860693019709,0.23860978870459276,0),(0,0.93969262078590832,0.34202014332566882,0),(0,0,0,1)) %8 1.500 1.500 18.000 18.000 default_surface_clipping_transfo3 %7 central_medium_lens default_layer default_clipping_transfo3 no_auto_rotate %9 I_vector O_point X1_point %10 J_vector O_point Y1_point %11 K_vector O_point Z1_point %15 defined (1.272398698637788,-5.2647610255835025,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %16 (0.23101437075863099,-0.95586034221963756,0.18155816333823013) %15 Z0_Plane %17 false (-0.10436041467343575,-0.98673119624639905,0.1243802645251216)(-2.1114418946936837,-2.6684203357337086,0) tetra %18 Z0_Plane %15 %18 no_hidden defined ( F(R(3,5),X(1.2723986986377889,-5.2647610255835033,0),Q(0,0.56174788404929132,0.82730847618415226,0),D1.1787444487839518), F(R(3,5),X(1.9762126635356836,-4.3752875803389317,1.6040680203660562),Q(0.81432804697773897,-0.4776467714277795,0.32432529207256106,-0.059468467040004462),D1.1787444487839518), F(R(3,5),X(1.6907983157623061,-6.3190185213456136,1.6040680203660562),Q(-0.3556628203081082,-0.042050556310755924,-0.57581688412835674,0.73496300921689184),D1.1787444487839518), F(R(3,5),X(0.1501851166153777,-5.099976975065962,1.6040680203660569),Q(0.45866522666963094,-0.51969732773853539,-0.2514915920557958,0.67549454217688743),D1.178744448783952), L(1,0,0,0,70.528779365509308), L(1,1,3,2,70.528779365509308), L(1,2,2,1,70.528779365509308), L(2,0,0,1,70.528779365509308), L(2,2,3,1,70.528779365509308), L(3,0,0,2,70.528779365509308) ) normal_surface_thickness solid_surface_style alice_blue sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius midnight_blue polynet3_base_surface_thickness polynet3_base_point_size polynet3_base_curve_radius %19 defined (2.5352695954092606,3.4981440648347881,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %20 (0.57171758105560011,0.78885120010619758,0.2255056354128325) %19 Z0_Plane %21 false (0.22176358196725815,0.8632314056324899,0.45348919947756988)(-2.0462533581477449,-1.5946116176961294,0) cube %22 Z0_Plane %19 %22 no_hidden defined ( F(R(4,5),X(2.5352695954092597,3.498144064834789,0),Q(0,0.94572096241606896,0.32497978590494553,0),D0.73375412868466428), F(R(4,5),X(2.7610904656350663,5.318576552756725,1.834385321711661),Q(0.66872570563467049,-0.63535037416050733,0.31037058825556169,0.2297954103619394),D0.73375412868466439), F(R(4,5),X(4.355702083331197,3.2723231946089815,1.8343853217116601),Q(0.66872570563467049,0.3103705882555618,0.63535037416050733,0.22979541036193943),D0.73375412868466416), F(R(4,5),X(2.3094487251834535,1.6777115769128512,1.8343853217116606),Q(-0.31037058825556163,-0.2297954103619394,0.66872570563467049,-0.63535037416050733),D0.73375412868466428), F(R(4,5),X(2.5352695954092601,3.498144064834789,3.6687706434233203),Q(-0.32497978590494564,-5.954843799396611e-17,2.7437989971072307e-17,0.94572096241606896),D0.73375412868466416), F(R(4,5),X(0.71483710748732343,3.7239649350605966,1.8343853217116615),Q(-0.63535037416050744,-0.2297954103619394,0.66872570563467049,0.31037058825556169),D0.73375412868466428), L(0,0,2,3,90), L(0,3,1,0,90), L(1,1,5,1,90), L(1,3,2,0,90), L(3,0,5,3,90), L(3,1,0,1,90), L(3,2,2,2,90), L(3,3,4,0,90), L(4,1,2,1,90), L(4,2,1,2,90), L(4,3,5,0,90), L(5,2,0,2,90) ) normal_surface_thickness solid_surface_style alice_blue sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius midnight_blue polynet3_base_surface_thickness polynet3_base_point_size polynet3_base_curve_radius %23 20.000 3.000 2.500 13.000 %24 light_blue %24

II- KHỐI ĐA DIỆN ĐỀU
Quan s�t c�c khối tứ diện , khối lập phương sau c� c�c mặt l� h�nh g� ? Mỗi đỉnh l� đỉnh chung của bao nhi�u mặt ?

]]> %25 23.500 3.000 3.500 13.500 %26 pale_green %26

Định nghĩa : Khối đa diện đều l� khối đa diện lồi c� c�c t�nh chất sau :

a) Mỗi mặt của n� l� một đa gi�c đều p cạnh .

b) Mỗi đỉnh của n� l� đỉnh chung của đ�ng q mặt .

Khối đa diện như vậy được gọi l� khối đa diện đều loại {p; q }

]]> 2.0.0 (279,Windows NT) stopped off 1.135 %69 %1 doc_settings 652 -161 document_window 0 600 600 0 0 2 Z0_Plane defined (0,0,1,0) normal_surface_thickness solid_surface_style ivory hidden_layer solid_curve_style normal_curve_radius dim_gray template_plane3_base_surface_thickness plane3_base_curve_radius document_toolbar default_document_toolbar K_vector defined (0,0,0,1) (0,0,1) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius steel_blue vector3_base_point_size vector3_base_curve_radius J_vector defined (0,0,0,1) (0,1,0) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius lawn_green vector3_base_point_size vector3_base_curve_radius I_vector defined (0,0,0,1) (1,0,0) sphere_point_style normal_point_size tomato hidden_layer solid_curve_style normal_curve_radius orange_red vector3_base_point_size vector3_base_curve_radius Z1_point no_display no_picking (0,0,1,1) Y1_point no_display no_picking (0,1,0,1) X1_point no_display no_picking (1,0,0,1) O_point defined (0,0,0,1) sphere_point_style normal_point_size red hidden_layer point3_base_point_size %1 1 29.700 21.000 %8 %65 %67 %69 %6 20.000 22.675 %7 origin3 %7 ((-0.38550604639461134,-0.31558380220508558,0.86705937050410631,0),(0.92270530950742646,-0.13185083324079691,0.3622571870653663,0),(0,0.93969262078590832,0.34202014332566882,0),(0,0,0,1)) %8 1.500 0.500 14.500 20.000 default_surface_clipping_transfo3 %7 central_medium_lens default_layer default_clipping_transfo3 no_auto_rotate %9 I_vector O_point X1_point %10 J_vector O_point Y1_point %11 K_vector O_point Z1_point %15 defined (8.962080490085615,-2.7370300086910095,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %16 (0.95099310281002558,-0.2904344212628634,0.1061129839061444) %15 Z0_Plane %17 false (0.88599004515407231,-0.44527913748545062,0.1294145648993893)(-2.1159419133120712,-0.70368887663402158,0) tetra %18 Z0_Plane %15 %18 no_hidden defined ( F(R(3,5),X(8.962080490085615,-2.7370300086910095,0),Q(0,0.77497021446294123,0.63199775845746697,0),D0.77245490863422195), F(R(3,5),X(9.6673944611896392,-2.5024670498130024,1.0511779863678021),Q(0.76327016591488162,-0.36488407597265865,0.44742926193412119,-0.28997468939708443),D0.77245490863422195), F(R(3,5),X(8.812560985708803,-3.4651313047501815,1.0511779863678021),Q(-0.13050963548506375,-0.20504306924514124,-0.53971351019579406,0.8059986983315931),D0.77245490863422195), F(R(3,5),X(8.4062860233584047,-2.2434916715098456,1.0511779863678028),Q(0.63276053042981806,-0.56992714521779986,-0.092284248261672947,0.51602400893450873),D0.77245490863422217), L(0,1,2,0,70.528779365509308), L(1,0,0,0,70.528779365509308), L(1,1,3,2,70.528779365509308), L(1,2,2,1,70.528779365509308), L(3,0,0,2,70.528779365509308), L(3,1,2,2,70.528779365509308) ) normal_surface_thickness solid_surface_style alice_blue sphere_point_style normal_point_size tomato default_layer solid_curve_style normal_curve_radius midnight_blue polynet3_base_surface_thickness polynet3_base_point_size polynet3_base_curve_radius %19 defined (-3.29040942203076,-7.1387928911420033,0,1) sphere_point_style normal_point_size red default_layer point3_base_point_size %20 (-0.41524805805770443,-0.90091216766979898,0.12619951039449173) %19 Z0_Plane %21 false (-0.60593493825593303,-0.78821623795823648,0.10750819884894275)(-2.3457647929918366,-0.19289200728830699,0) cube %22 Z0_Plane %19 %22 no_hidden defined ( F(R(4,5),X(-3.29040942203076,-7.1387928911420033,0),Q(0,0.99915868888133852,0.041011150104874716,0),D0.66572185125715921), F(R(4,5),X(-2.2139730291789959,-5.8694644910019331,1.6643046281428981),Q(0.70651188438945434,-0.52008491949310642,0.47907376938823182,0.028999262343416377),D0.6657218512571593
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