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ResultcSdeSdֿ=??hfhf: ;DATA@ֿ= iBDATAiBDATA:sDATAhfDATAXcSdhcSdSlot 1DATAXhcSdcSdcSdSlot 2DATAXcSd(dSdhcSdSlot 3DATAX(dSddSdcSdSlot 4DATAXdSddSd(dSdSlot 5DATAXdSdHeSddSdSlot 6DATAXHeSdeSddSdSlot 7DATAXeSdHeSdSlot 8TXɟ9TXopgave 1.py x63X:(;ؿ:(:&܌ADATAx63//opgaves/opgave 1.pyDATA(X:::t3 DATA(::X:h:(qe DATA(::::H2DATA(::::DBDATA(:::8:;DATA(:ؿ::4u;DATA(ؿ:::h:leDATA(:x:ؿ:7;DATA(x:H::1> 3(DATA(H:(:x:2> 31DATA((:X:H:(:DBDATA(X::(:4(u;DATA(::X:H4MDATA(:::4>޺2(DATA(::::蒇;$DATA(:H::47DATA(H:x:::DB DATA(x::H::(IB DATA(::x::HIB DATA(:::ȿ:EB DATA(:Ȁ:::H@B DATA(Ȁ:::h4hu;DATA(:h:Ȁ::;DATA(h:::X:;$DATA(::h:5>9>/DATA(:::4>3/DATA(:H:::hҹ2 DATA(H:x::7;%DATA(x::H:H5>ģ7/DATA(:ؼ:x:H8>*";/DATA(ؼ:::x47DATA(:h:ؼ:eB3iDATA(h:8::H:hIBDATA(8:qI>h::IBDATA(qI>xB8:H4u;DATA(xBx!eqI>3>7>/DATA(x!e%exB3> 3/DATA(%ex:x!edB'";/DATA(x::%e2>H 3/DATA(::x:Ȁ4u;DATA(:::x:8;DATA(::::h;DATA(:HU::ȃ:;DATA(HU::::Ȕ;DATA(::HU:(:;DATA(::::;DATA(:::H:;DATA(:8::(:蕇;DATA(8:د::Qb6حu;DATA(د::8:(:;DATA(:X:د:؂:ȭu;DATA(X:8::Bxu;DATA(8:Ȁ:X:7Hu;DATA(Ȁ:8P48:eB3kDATA(8P4x:Ȁ:H1>71DATA(x::8P47:DATA(:b6x:P4x;#DATA(b6h::؅:;#DATA(h::b6P4;#DATA(:x:h:H:8:#DATA(x::::X;#DATA(:h:x:8:(;#DATA(h:ȃ:::;DATA(ȃ::h::ȑ;DATA(::ȃ:؂:;DATA(:::(Q4h;DATA(:::~Bh~BDATA(:H::878~BDATA(H:8:::IBDATA(8:ج:H:(7~BDATA(ج:8:8:4> X30DATA(8:X:ج::IBDATA(X::8:(:IB DATA(::X::8;&DATA(:::434DATA(:Ȇ::ȊS3;"DATA(Ȇ:(:::x;DATA((::Ȇ:X:H;&DATA(::(:7~BDATA(:::}Bh6BDATA(:8::(ҹ2;DATA(8:;:IBJBDATA(;8;8:Xu;hu;DATA(8;(;;:(JB DATA((;8;P3HJB DATA :import bpyDATAh:import bmesh---DATA :from math import sqrt, cos, sinDATA:import numpy as np-DATA 8:from mathutils import VectorDATA4DATAh:def draw_vec(v):DATA7 # Create a new meshDATA,1> mesh = bpy.data.meshes.new("vector")DATA42> # Create a bmesh to add vertices and faces toDATA(: bm = bmesh.new()DATA4 DATAH4 DATA,4> norm = sqrt(v[0]**2+v[1]**2+v[2]**2)DDATA(: sv = np.array(v)/norm*(norm-0.1)DATA44DATA : v1 = ()DATA: v2 = () DATA : v3 = ()DATA ȿ: v4 = ()DATA: norm2 =0DATAh4 DATA: if(v[0]!=0 or v[1]!=0):DATA(X: norm2= sqrt(v[1]**2+v[0]**2)DATA05> v1 = np.array((-v[1],v[0],0))/norm2*0.1DATA04> v2 = np.array((v[1],-v[0],0))/norm2*0.1DATA : else:!DATA(7 norm2 = sqrt(v[2]**2+v[1]**2)DATA0H5> v1 = np.array((0,v[2],-v[1]))/norm2*0.1DATA0H8> v2 = np.array((0,-v[2],v[1]))/norm2*0.1DATAx4 DATAle v3 = Vector((v[1]*v1[2]-v[2]*v1[1], v[2]*v1[0]-v[0]*v1[2], v[0]*v1[1] - v[1]*v1[0])).normalized()*0.1DATAH: v4 = -v3 DATA : DATAH4 DATA03> v5 = (sv[0]+v1[0],sv[1]+v1[1], sv[2]+v1[2])DATA03> v6 = (sv[0]+v2[0],sv[1]+v2[1], sv[2]+v2[2])DATA0dB v7 = (sv[0]+v3[0],sv[1]+v3[1], sv[2]+v3[2])DATA02> v8 = (sv[0]+v4[0],sv[1]+v4[1], sv[2]+v4[2])DATAȀ4 DATAx: bv1 = bm.verts.new(v1)DATA : bv2 = bm.verts.new(v2) DATAȃ: bv3 = bm.verts.new(v3)DATA: bv4 = bm.verts.new(v4)DATA(: bv5 = bm.verts.new(v5)DATA: bv6 = bm.verts.new(v6)DATAH: bv7 = bm.verts.new(v7)DATA(: bv8 = bm.verts.new(v8)DATAQb6 DATA(: bv = bm.verts.new(v)DATA؂:Qb6DATAB DATA7 DATAle #v cross (-v[1]/norm, v[0]/norm, 0)=(-v[2]*v[0]/norm, -v[2]*v[1]/norm, v[0]*v[0]/norm + v[1]*v[1]/norm)DATA4H1> #a cross b = (-a_3b_2, a_3b_1, a_1b_2-a_2b_1)DATA7 DATA$P4 bm.faces.new((bv1,bv3,bv2,bv4))DATA$؅: bm.faces.new((bv1,bv3,bv7,bv5))DATA$P4 bm.faces.new((bv3,bv2,bv6,bv7))DATA$H: bm.faces.new((bv2,bv4,bv8,bv6))DATA$: bm.faces.new((bv4,bv1,bv5,bv8))DATA$8: bm.faces.new((bv5,bv7,bv6,bv8))DATA : bm.faces.new((bv5,bv7,bv))DATA : bm.faces.new((bv7,bv6,bv))DATA ؂: bm.faces.new((bv6,bv8,bv))DATA (Q4 bm.faces.new((bv8,bv5,bv))DATA~B DATA87~BDATA : DATA(77DATA44> # Update the bmesh and create a mesh from itDATA: bm.to_mesh(mesh)DATA(: bm.free()DATA(: # Create a new object for the meshDATA84 obj = bpy.data.objects.new("my UV sphere", mesh)DATA$ȊS3 # Link the object to the sceneDATA : scene = bpy.context.sceneDATA(X: scene.collection.objects.link(obj)DATA77DATA}B7DATA(ҹ2u = np.array((1,1,0.5))DATAIBv = np.array((-1,1,4))DATAXu;!DATA :draw_vec(u)DATA P3draw_vec(v)TXH9TXopgave 2.pyf i3h3 i3 i3܌ADATA`f/home/thomas/Documents/uni/I jaar 3/Driedimensionaal modelleren/tutorial1/opgaves/opgave 2.pyDATA( i3 i3%l3=l3 DATA( i3(`j3 i3H"l3n3 DATA((`j3i3 i3i3h3DATA(i3i3(`j3h"l3a6DATA(i3i3i3i33/DATA(X^{38j3(^{3ߺ2b3/DATA(8j3|3X^{3HPb6X j3DATA(|3{38j3H|3<DATA({3{3|3X|3H<DATA({3C{3{3{3x<DATA(C{3{3{3({3<DATA({3j3C{3j3ؖ<DATA(j3 |3{3 |3h<DATA( |38|3j3D{3<DATA(8|3{3 |3 |3ȗ<DATA({38{38|3j3H j3DATA(8{3{3{3H{3<DATA({3{38{3j38 j3DATA({3<{3j3xj3DATA(< |3{3hj3( j3DATA( |3(j3< 33kDATA((j3{3 |3H)";a31DATA({3{3(j3Xj3j3DATA({3H{3{3{3(<#DATA(H{3h<{3xj3X<#DATA(h< |3H{3x |3<#DATA( |3 |3h<|3<#DATA( |3|3 |3 |3<#DATA(|3|3 |3|3h<#DATA(|3 |3|3|3<DATA( |3HM{3|3 |3x<DATA(HM{3X |3 |3h|3<DATA(X |3( |3HM{3|3<DATA(( |3|3X |3j3j3DATA(|3hQ{3( |3j3j3DATA(hQ{3({3|3}3(3DATA(({3( |3hQ{3j3j3DATA(( |3 |3({33@30DATA( |3 |3( |3|3{3DATA( |3 |3 |3}3!3 DATA( |3H |3 |3 |3<&DATA(H |3x |3 |3+s334DATA(x |3 |3H |3 |3X<DATA( |3|3x |3Xߤ7X78DATA(|38|3 |3-s3D3(DATA(8|3h|3|3ݤ7;;DATA(h|3|38|3|3a3'DATA(|3(|3h|3|3(<"DATA((|3|3|3X|3<DATA(|3|3(|3|3ȑ<&DATA(|3|3|3j3j3DATA(|3G|3|3u;Hj3DATA(G|3Ƚ<|33!3DATA(Ƚ<x3G|3HB<DATA(x3h<Ƚ<W2!3DATA(h<(3x3:h<DATA((3:.3h<j3Xu;DATA(:.39.3(3k2X<DATA(9.39.3:.3Ȫ2(<DATA(9.3H<9.3hiS3<DATA(H<H|39.3J3<DATA(H|3|3H< j3j3DATA(|3/i3H|38u;j3DATA(/i3X33|3]B!3DATA(X33(!i3/i3^3"3DATA((!i3|3X33^3("3DATA(|383(!i3`3H"3DATA(83Hrq3|3 j3hj3DATA(Hrq3q383Hz3h"3DATA(q38<Hrq3z3"3DATA(8<883q3hz3"3DATA(8838<8<3"3DATA(8<3883u;(j3DATA(3[38<3h<$DATA([3,<3<<$DATA(,<3[3N3x<$DATA(3,<3H<$DATA }3import bpyDATAHށ3import bmeshDATA H |3from math import sqrt, cos, sinDATAhށ3import numpy as npDATA {3from mathutils import VectorDATAj3DATA{3def draw_vec(v,c):DATAe|3 # Create a new meshDATA,H-X3 mesh = bpy.data.meshes.new("vector")DATA4*X3 # Create a bmesh to add vertices and faces toDATAHԁ3 bm = bmesh.new()DATAj3 DATA8j3 DATA,,X3 norm = sqrt(v[0]**2+v[1]**2+v[2]**2)DDATA(H{3 sv = np.array(v)/norm*(norm-0.1)DATAHj3j3DATA Ӂ3 v1 = ()DATA(ԁ3 v2 = () DATA ԁ3 v3 = ()DATA Ӂ3 v4 = ()DATAӁ3 norm2 =0DATAxPb6 DATA{3 if(v[0]!=0 or v[1]!=0):DATA({3 norm2= sqrt(v[1]**2+v[0]**2)DATA0H!s3 v1 = np.array((-v[1],v[0],0))/norm2*0.1DATA0 s3 v2 = np.array((v[1],-v[0],0))/norm2*0.1DATA }3 else:PaDATA(^{3 norm2 = sqrt(v[2]**2+v[1]**2)DATA0$s3 v1 = np.array((0,v[2],-v[1]))/norm2*0.1DATA0&s3 v2 = np.array((0,-v[2],v[1]))/norm2*0.1DATAXPb6 DATAle v3 = Vector((v[1]*v1[2]-v[2]*v1[1], v[2]*v1[0]-v[0]*v1[2], v[0]*v1[1] - v[1]*v1[0])).normalized()*0.1DATAށ3 v4 = -v3 DATA Ӂ3 DATAhPb6 DATA0'X3 v5 = (sv[0]+v1[0],sv[1]+v1[1], sv[2]+v1[2])DATA0)X3 v6 = (sv[0]+v2[0],sv[1]+v2[1], sv[2]+v2[2])DATA06> v7 = (sv[0]+v3[0],sv[1]+v3[1], sv[2]+v3[2])DATA0ߺ2 v8 = (sv[0]+v4[0],sv[1]+v4[1], sv[2]+v4[2])DATAHPb6 DATAH|3 bv1 = bm.verts.new(v1)DATA X|3 bv2 = bm.verts.new(v2) DATA{3 bv3 = bm.verts.new(v3)DATA({3 bv4 = bm.verts.new(v4)DATAj3 bv5 = bm.verts.new(v5)DATA |3 bv6 = bm.verts.new(v6)DATAD{3 bv7 = bm.verts.new(v7)DATA |3 bv8 = bm.verts.new(v8)DATAj3 DATAH{3 bv = bm.verts.new(v)DATAj3j3DATAj3 DATAhj3 DATAl 3 #v cross (-v[1]/norm, v[0]/norm, 0)=(-v[2]*v[0]/norm, -v[2]*v[1]/norm, v[0]*v[0]/norm + v[1]*v[1]/norm)DATA4H)"; #a cross b = (-a_3b_2, a_3b_1, a_1b_2-a_2b_1)DATAXj3 DATA${3 bm.faces.new((bv1,bv3,bv2,bv4))DATA$xj3 bm.faces.new((bv1,bv3,bv7,bv5))DATA$x |3 bm.faces.new((bv3,bv2,bv6,bv7))DATA$|3 bm.faces.new((bv2,bv4,bv8,bv6))DATA$ |3 bm.faces.new((bv4,bv1,bv5,bv8))DATA$|3 bm.faces.new((bv5,bv7,bv6,bv8))DATA |3 bm.faces.new((bv5,bv7,bv))DATA |3 bm.faces.new((bv7,bv6,bv))DATA h|3 bm.faces.new((bv6,bv8,bv))DATA |3 bm.faces.new((bv8,bv5,bv))DATAj3 DATAj3j3DATA }3 DATAj3j3DATA43 # Update the bmesh and create a mesh from itDATA|3 bm.to_mesh(mesh)DATA}3 bm.free()DATA( |3 # Create a new object for the meshDATA8+s3 obj = bpy.data.objects.new("my UV sphere", mesh)DATA |3 # Create a new materialDATA<Xߤ7 material = bpy.data.materials.new(name="MyMaterial")ߤ7DATA,-s3 # Set the base color of the materialDATA<ݤ7 material.diffuse_color = c # these are (R, G, B, Alpha)DATA(|3 obj.data.materials.append(material)DATA$|3 # Link the object to the sceneDATA X|3 scene = bpy.context.sceneDATA(|3 scene.collection.objects.link(obj)DATAj3j3DATAu;j3DATA3u1 = np.array((1,1,0))DATAHBu2 = np.array((3,-2,4))DATAW2u3 = np.array((0,0,3))DATA:u4 = np.array((0.5,-1,1))DATAj3DATAk2v1 = np.array((0,2,-1))DATAȪ2v2 = np.array((0,-1,2))DATAhiS3v3 = np.array((1.5,-0.5,1))DATAJ3v4 = np.array((-0.5,1,-1))DATA j3DATA8u;u;DATA]Bdraw_vec(u1,(1,0,0,1))DATA^3draw_vec(u2,(1,0,0,1))DATA^3draw_vec(u3,(1,0,0,1))DATA`3draw_vec(u4,(1,0,0,1))DATA j3DATAHz3draw_vec(v1,(0,1,0,1))DATAz3draw_vec(v2,(0,1,0,1))DATAhz3draw_vec(v3,(0,1,0,1))DATA3draw_vec(v4,(0,1,0,1))DATAu;DATA(3draw_vec(np.dot(u1,v1)*u1,(0,0,1,1))DATA(<draw_vec(np.dot(u2,v2)*u2,(0,0,1,1))DATA(N3draw_vec(np.dot(u3,v3)*u3,(0,0,1,1))DATA(3draw_vec(np.dot(u4,v4)*u4,(0,0,1,1))TX3TXopgave 4.py X3 44ؤ 4ؤ 4܌ADATA`X3/home/thomas/Documents/uni/I jaar 3/Driedimensionaal modelleren/tutorial1/opgaves/opgave 4.pyDATA( 4H 433. DATA(H 4x 4 4(3h6. DATA(x 4 4H 4( 4(.DATA( 4 4x 4H36.DATA( 4ȥ 4 4 4H.DATA(ȥ 4 4 4hj3ؚ3DATA( 4h 4ȥ 4<.DATA(h 48 4 43.DATA(8 4 4h 43$&4(DATA( 4ؤ 48 43.41DATA(ؤ 4 4 4(36.DATA( 4 4ؤ 4 j38ؚ3DATA( 4H 4 4X4H՚3DATA(H 4x 4 4ȼ3.4(DATA(x 4ذ 4H 4 4.$DATA(ذ 4 4x 4(4XԚ3DATA( 4H 4ذ 436. DATA(H 4 4 437. DATA( 4X 4H 43(7. DATA(X 4 4 4ȝ3H7. DATA( 4 4X 43h7. DATA( 4 4 484#4DATA( 4( 4 4X 4.DATA(( 4h 4 4h 4X.$DATA(h 4 4( 43.4/DATA( 4ȟ 4h 43H4/DATA(ȟ 4 4 437. DATA( 4( 4ȟ 4( 4(.%DATA(( 4X 4 43k+4/DATA(X 4 4( 43.4/DATA( 4 4X 44Xj3DATA( 4 4 4b3b3iDATA( 4ء 4 437.DATA(ء 4 4 437.DATA( 4h 4ء 48j3Ӛ3DATA(h 4 4 4H3.4/DATA( 4Ȣ 4h 434/DATA(Ȣ 4 4 4֙3l+4/DATA( 4 4Ȣ 4H3.4/DATA( 4 4 4 j3К3DATA( 4 4 4ح 4.DATA( 4( 4 4 4.DATA(( 4x[< 4}4.DATA(x[< 4( 4H)<h.DATA( 4 4x[<h 48.DATA( 4 4 4x 4.DATA( 4 4 4X 4.DATA( 4H 4 4H 4.DATA(H 4 4 4 j3j3DATA( 4X 4H 4 4.DATA(X 4ȱ 4 4Hj3Қ3DATA(ȱ 4 4X 4 j3(ٚ3DATA( 4 4ȱ 4(j3ۚ3DATA( 4X 4 4a3c3kDATA(X 4 4 4m3.41DATA( 4x 4X 4j3ۚ3DATA(x 4 4 48 4.#DATA( 4l<x 4ت 4<#DATA(l< 4 4h 4<#DATA( 4 4l<X 4X<#DATA( 4 4 4 4(<#DATA( 4X 4 4 48P<#DATA(X 4h 4 4 4P<DATA(h 4 4X 4 4O<DATA( 4( 4h 4 4;<DATA(( 4 4 4h 4;<DATA( 48 4( 4h j33DATA(8 4H 4 4 j38j3DATA(H 4 48 43f.DATA( 4 4H 48j33DATA( 4 4 4Ȥ3240DATA( 44 4en3h.DATA(484 43k. %DATA(8444h4F<&"DATA(4484H.3H%&44DATA(4(444F<DATA((4X448L3888DATA(X44(4J3s-(DATA(44X4Xh3xp3;DATA(4444s-'DATA(4x44H4d<"DATA(x4H<44d<DATA(H<HP<x44hV<&q!DATA(HP<4H<К3j3DATA(484HP<_3Hi3:DATA(84h44 j3(Ԛ3DATA(h4484 j3xj3DATA(44h4Ƞ 4J.DATA(4h<4 4J.DATA(h<(<4(aZ4J.DATA((<&S4h<P4J.DATA(&S4h Q4(<P4hE.DATA(h Q4j3&S4j3xj3DATA(j3xq3h Q4ڂ-HE.DATA(xq33j38ך37DATA(3Ӈ3xq3H<v.DATA(Ӈ3X338 j3j3DATA(X3\3Ӈ3)4(E.DATA(\33X3H\3h<%DATA(3(4\33x< DATA((4X43j3(ך3DATA(X44(4J48"t.DATA(44X48:.4!t.DATA(444<.4v.DATA(44Xj3u;DATA 3import bpyDATA(3import bmeshDATA ( 4from math import sqrt, cos, sinDATAH3import numpy as npDATA 4from mathutils import VectorDATAhj3DATA<def draw_vec(v,c,origin):DATA3 # Create a new meshDATA,3 mesh = bpy.data.meshes.new("vector")DATA43 # Create a bmesh to add vertices and faces toDATA(3 bm = bmesh.new()DATA j3 DATAX4 DATA,ȼ3 norm = sqrt(v[0]**2+v[1]**2+v[2]**2)DDATA( 4 sv = np.array(v)/norm*(norm-0.1)DATA(44DATA 3 v1 = ()DATA3 v2 = () DATA 3 v3 = ()DATA ȝ3 v4 = ()DATA3 norm2 =0DATA84 DATAX 4 if(v[0]!=0 or v[1]!=0):DATA(h 4 norm2= sqrt(v[1]**2+v[0]**2)DATA03 v1 = np.array((-v[1],v[0],0))/norm2*0.1DATA03 v2 = np.array((v[1],-v[0],0))/norm2*0.1DATA 3 else:PaDATA(( 4 norm2 = sqrt(v[2]**2+v[1]**2)DATA03 v1 = np.array((0,v[2],-v[1]))/norm2*0.1DATA03 v2 = np.array((0,-v[2],v[1]))/norm2*0.1DATA4 DATAlb3 v3 = Vector((v[1]*v1[2]-v[2]*v1[1], v[2]*v1[0]-v[0]*v1[2], v[0]*v1[1] - v[1]*v1[0])).normalized()*0.1DATA3 v4 = -v3 DATA 3 DATA8j3 DATA0H3 v5 = (sv[0]+v1[0],sv[1]+v1[1], sv[2]+v1[2])DATA03 v6 = (sv[0]+v2[0],sv[1]+v2[1], sv[2]+v2[2])DATA0֙3 v7 = (sv[0]+v3[0],sv[1]+v3[1], sv[2]+v3[2])DATA0H3 v8 = (sv[0]+v4[0],sv[1]+v4[1], sv[2]+v4[2])DATA j3 DATAح 4 bv1 = bm.verts.new(v1)DATA 4 bv2 = bm.verts.new(v2) DATA}4 bv3 = bm.verts.new(v3)DATAH)< bv4 = bm.verts.new(v4)DATAh 4 bv5 = bm.verts.new(v5)3DATAx 4 bv6 = bm.verts.new(v6)DATAX 4 bv7 = bm.verts.new(v7)DATAH 4 bv8 = bm.verts.new(v8)DATA j3 DATA 4 bv = bm.verts.new(v)DATAHj3 j3DATA j3 DATA(j3 DATAla3 #v cross (-v[1]/norm, v[0]/norm, 0)=(-v[2]*v[0]/norm, -v[2]*v[1]/norm, v[0]*v[0]/norm + v[1]*v[1]/norm)DATA4m3 #a cross b = (-a_3b_2, a_3b_1, a_1b_2-a_2b_1)DATAj3 DATA$8 4 bm.faces.new((bv1,bv3,bv2,bv4))DATA$ت 4 bm.faces.new((bv1,bv3,bv7,bv5))DATA$h 4 bm.faces.new((bv3,bv2,bv6,bv7))DATA$X 4 bm.faces.new((bv2,bv4,bv8,bv6))DATA$ 4 bm.faces.new((bv4,bv1,bv5,bv8))DATA$ 4 bm.faces.new((bv5,bv7,bv6,bv8))DATA  4 bm.faces.new((bv5,bv7,bv))DATA  4 bm.faces.new((bv7,bv6,bv))DATA  4 bm.faces.new((bv6,bv8,bv))DATA h 4 bm.faces.new((bv8,bv5,bv))DATAh j3 DATA j3 j3DATA 3 DATA8j3 j3DATA4Ȥ3 # Update the bmesh and create a mesh from itDATAen3 bm.to_mesh(mesh)DATA3 bm.free()DATA(h4 # Create a new object for the meshDATA8H.3 obj = bpy.data.objects.new("my UV sphere", mesh)DATA 4 # Create a new materialDATA<8L3 material = bpy.data.materials.new(name="MyMaterial")L3DATA,J3 # Set the base color of the materialDATA<Xh3 material.diffuse_color = c # these are (R, G, B, Alpha)DATA(4 obj.data.materials.append(material)DATA$H4 # Link the object to the sceneDATA 4 scene = bpy.context.sceneDATA(4 scene.collection.objects.link(obj)DATAК3 DATA<_3 obj.location = Vector(np.array(obj.location) + origin)DATA j3j3DATA j3 j3DATAȠ 4u = np.array((1,1,0))DATA 4v = np.array((0,1,0))DATA(aZ4w = np.cross(u,v)DATAP4x = np.array((-1,3,2))DATAP4y = np.array((0,-3,0))DATAj3DATAڂ-list = [u,v,w,x,y]DATA8ך3DATAH<origin = np.array((0,0,0))DATA8 j3DATA)4for vector in list:DATA(H\3 draw_vec(vector,(1,0,0,1),origin)DATA$3 origin = vector + origin DATAj3 j3DATAJ4#draw_vec(u,(1,0,0,1),z)DATA8:.4#draw_vec(v,(0,1,0,1),z)y3DATA<.4#draw_vec(w,(0,0,1,1),z)3DATAXj3j3TX9TXopgave 5.py ؙ.$.)3<<55@ߌADATA`ؙ./home/thomas/Documents/uni/I jaar 3/Driedimensionaal modelleren/tutorial1/opgaves/opgave 5.pyDATA($.x)3he-Ș. DATA(x)3H)3$.ȑ-hx. DATA(H)3)3x)3)3+DATA()3)3H)3Hd-(*DATA()3)3)38)3<DATA()38)3)3xj3xٚ3DATA(8)3h)3)3h-. DATA(h)3)38)3-F&+DATA()36T/h)3Ht-(. DATA(6T/ S/)3*j.DATA( S/)36T/(*+ DATA()3)3 S/*v+DATA()3()3)38j3j3DATA(()3H{.)3j3Қ3DATA(H{.{.()33.Hg.DATA({.z.H{.2.؃<DATA(z.z.{.H{-3Z/(DATA(z.z.z.Hy-H`+1DATA(z.Xz.z.(3.Ȳ +DATA(Xz.(z.z.j3XҚ3DATA((z.y.Xz.j3H j3DATA(y.{.(z.H}-6Z/(DATA({.h|.y.{.x<$DATA(h|.|.{.hњ3֚3DATA(|.|.h|.H3.UC/ DATA(|.|.|.h3.H+ DATA(|.(}.|.3.h"+ DATA((}.X}.|.3.i%+ DATA(X}.}.(}.3.(. DATA(}.H~.X}.xњ3 j3DATA(H~.~.}.x~.H<DATA(~..H~.~.<$DATA(.8.~.v-H3Z//DATA(8.h..w-7Z//DATA(h..8.3.. DATA(..h..<%DATA(.(..y-5Z//DATA((.X..|-8Z//DATA(X..(.֚3H֚3DATA(..X._-}.iDATA(...4.(.DATA(...(4.H+DATA(.H..֚3X՚3DATA(H.x..z-Ȟ-/DATA(x..H.~--/DATA(.؁.x.~-?Z//DATA(؁...--/DATA(.8.؁.֚3֚3DATA(8...h.(<DATA(..8.Ȃ.<DATA(.X..(.ȁ<DATA(X....<DATA(..X..h<DATA(.x..H.8<DATA(x.؄...<DATA(؄.8.x..؀<DATA(8..؄.ך3՚3DATA(..8.ȅ.s<DATA(.(..Hך3Ԛ3DATA((.X..xך3՚3DATA(X..(.ך38Ӛ3DATA(..X.0K.1K.kDATA(...H--1DATA(...ך3Ԛ3DATA(.x..H.Xs<#DATA(x.h..؇.(s<#DATA(h.Ȉ.x..r<#DATA(Ȉ.(.h..r<#DATA((..Ȉ.X.<#DATA(..(..<#DATA(.H...(<DATA(H...x.X<DATA(..H.؊.<DATA(.h..8.<DATA(h...ך3hԚ3DATA(.ȋ.h.ؚ3Ӛ3DATA(ȋ...H4.h +DATA(.(.ȋ.(ؚ3Ԛ3DATA((.X..-H.8<DATA(<<.Hv-4Z/(NDATA(<x<<w-;Z/1DATA(x<<<>.HG(+DATA(<<x<X7Ӛ3DATA(<X<< +((+DATA(X<(<<->Z/5DATA((<<X<ȟ-;7DATA(<8R/(<0Z/-5DATA(8R/R/<-H2Z/5DATA(R/X.8R/.H(+DATA(X..R/H-K.kDATA(<<ص<w-Ȋ-1DATA(<<<x j3՚3DATA(<hQ<<.<#DATA(hQ<8Q<< j3՚3DATA(8Q<Q<hQ< j3j3DATA(Q<P<8Q<@.(+DATA(P<P<Q< j3j3DATA(P<xP<P<14`+0DATA(xP<P<P<(@.(+DATA(P<O<xP<H@.Ȝ(+ DATA(O<N<P<XO<<&DATA(N<N<O<x-?Z/4DATA(N<N<N<8N<<"DATA(N<)3N<M<<DATA()3.N<HM<H<&DATA(.h.)3(ښ3h՚3DATA(h.)3.(/(+ DATA()3)3h..(+ DATA()3)3.((+ DATA he-import bpyDATAȑ-import bmeshDATA )3from math import sqrt, cos, sinDATAHd-import numpy as npDATA 8)3from mathutils import VectorDATAxj3DATA h-xmin = -1DATA -xmax = 1DATA Ht-ymin = -1DATA *ymax = 1DATA (*zmin = -1DATA *zmax = 1DATA8j3DATAj3DATA3.def draw_vec(v):xDATA2. # Create a new meshDATA,H{- mesh = bpy.data.meshes.new("vector")DATA4Hy- # Create a bmesh to add vertices and faces toDATA(3. bm = bmesh.new()DATAj3 rDATAj3 DATA,H}- norm = sqrt(v[0]**2+v[1]**2+v[2]**2)ueDATA({. sv = np.array(v)/norm*(norm-0.1)DATAhњ3ך3DATA H3. v1 = ()DATAh3. v2 = () DATA 3. v3 = ()DATA 3. v4 = ()DATA3. norm2 =0DATAxњ3 DATAx~. if(v[0]!=0 or v[1]!=0):DATA(~. norm2= sqrt(v[1]**2+v[0]**2)DATA0v- v1 = np.array((-v[1],v[0],0))/norm2*0.1DATA0w- v2 = np.array((v[1],-v[0],0))/norm2*0.1DATA 3. else:DATA(. norm2 = sqrt(v[2]**2+v[1]**2)DATA0y- v1 = np.array((0,v[2],-v[1]))/norm2*0.1DATA0|- v2 = np.array((0,-v[2],v[1]))/norm2*0.1DATA֚3 DATAl_- v3 = Vector((v[1]*v1[2]-v[2]*v1[1], v[2]*v1[0]-v[0]*v1[2], v[0]*v1[1] - v[1]*v1[0])).normalized()*0.1DATA4. v4 = -v3 DATA (4. DATA֚3 DATA0z- v5 = (sv[0]+v1[0],sv[1]+v1[1], sv[2]+v1[2])DATA0~- v6 = (sv[0]+v2[0],sv[1]+v2[1], sv[2]+v2[2])DATA0~- v7 = (sv[0]+v3[0],sv[1]+v3[1], sv[2]+v3[2])DATA0- v8 = (sv[0]+v4[0],sv[1]+v4[1], sv[2]+v4[2])DATA֚3 DATAh. bv1 = bm.verts.new(v1)DATA Ȃ. bv2 = bm.verts.new(v2) DATA(. bv3 = bm.verts.new(v3)DATA. bv4 = bm.verts.new(v4)DATA. bv5 = bm.verts.new(v5)DATAH. bv6 = bm.verts.new(v6)DATA. bv7 = bm.verts.new(v7)DATA. bv8 = bm.verts.new(v8)DATAך3 DATAȅ. bv = bm.verts.new(v)DATAHך3!DATAxך3 DATAך3 DATAl0K. #v cross (-v[1]/norm, v[0]/norm, 0)=(-v[2]*v[0]/norm, -v[2]*v[1]/norm, v[0]*v[0]/norm + v[1]*v[1]/norm)DATA4H- #a cross b = (-a_3b_2, a_3b_1, a_1b_2-a_2b_1).DATAך3 DATA$H. bm.faces.new((bv1,bv3,bv2,bv4))DATA$؇. bm.faces.new((bv1,bv3,bv7,bv5))DATA$. bm.faces.new((bv3,bv2,bv6,bv7))DATA$. bm.faces.new((bv2,bv4,bv8,bv6))DATA$X. bm.faces.new((bv4,bv1,bv5,bv8))DATA$. bm.faces.new((bv5,bv7,bv6,bv8))DATA . bm.faces.new((bv5,bv7,bv))DATA x. bm.faces.new((bv7,bv6,bv))DATA ؊. bm.faces.new((bv6,bv8,bv))DATA 8. bm.faces.new((bv8,bv5,bv))DATAך3 DATAؚ3DATA H4. 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