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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.pyX3 44j3j3܌ADATA`X3/home/thomas/Documents/uni/I jaar 3/Driedimensionaal modelleren/tutorial1/opgaves/opgave 4.pyDATA( 4H 43 4 DATA(H 4x 4 4(3P4 DATA(x 4 4H 4( 4A4DATA( 4 4x 4H3(74DATA( 4ȥ 4 4 4H<DATA(ȥ 4 4 4hj3h֚3DATA( 4h 4ȥ 4<x<DATA(h 48 4 43<DATA(8 4 4h 43n+4(DATA( 4ؤ 48 43H%&41DATA(ؤ 4 4 4(3Q4DATA( 4 4ؤ 4 j3Ԛ3DATA( 4H 4 4X4hԚ3DATA(H 4x 4 4ȼ3i+4(DATA(x 4ذ 4H 4 4<$DATA(ذ 4 4x 4(4 j3DATA( 4H 4ذ 43(P4 DATA(H 4 4 43 4 DATA( 4X 4H 43hӂ- DATA(X 4 4 4ȝ3ׂ- DATA( 4 4X 43h74 DATA( 4 4 484H j3DATA( 4( 4 4X 4<DATA(( 4h 4 4h 4X<$DATA(h 4 4( 433/DATA( 4ȟ 4h 43.4/DATA(ȟ 4 4 43hP4 DATA( 4( 4ȟ 4( 4h<%DATA(( 4X 4 43n+4/DATA(X 4 4( 43H.4/DATA( 4 4X 44Hܚ3DATA( 4 4 4b3c3iDATA( 4ء 4 43H4DATA(ء 4 4 43hւ-DATA( 4h 4ء 48j38ܚ3DATA(h 4 4 4H3m+4/DATA( 4Ȣ 4h 43He+4/DATA(Ȣ 4 4 4֙33/DATA( 4 4Ȣ 4H3H4/DATA( 4 4 4 j3(ܚ3DATA( 4 4 4ح 48<DATA( 4( 4 4 4<DATA(( 4x[< 4}4x<DATA(x[< 4( 4H)<H<DATA( 4 4x[<h 4xb<DATA( 4 4 4x 4Hb<DATA( 4 4 4X 4b<DATA( 4H 4 4H 4a<DATA(H 4 4 4 j3ܚ3DATA( 4X 4H 4 4a<DATA(X 4ȱ 4 4Hj3ܚ3DATA(ȱ 4 4X 4 j3ۚ3DATA( 4 4ȱ 4(j3ۚ3DATA( 4X 4 4a3b3kDATA(X 4 4 4m341DATA( 4x 4X 4j3ۚ3DATA(x 4 4 48 4a<#DATA( 4l<x 4ت 4Xa<#DATA(l< 4 4h 4(a<#DATA( 4 4l<X 4<#DATA( 4 4 4 4<#DATA( 4X 4 4 4<#DATA(X 4h 4 4 4<DATA(h 4 4X 4 4<DATA( 4( 4h 4 4<DATA(( 4 4 4h 4(<DATA( 48 4( 4h j3(ٚ3DATA(8 4H 4 4 j3Қ3DATA(H 4 48 43ڂ-DATA( 4 4H 48j3j3DATA( 4 4 4Ȥ3.40DATA( 44 4en3ڂ-DATA(484 43ۂ- %DATA(8444h4<&"DATA(4484H.3H44DATA(4(444<DATA((4X448L3^38DATA(X44(4J3H3(DATA(44X4Xh3l3;DATA(444414'DATA(4x44H4"<"DATA(x4H<44"<DATA(H<HP<x44h"<&q!DATA(HP<4H<К3К3DATA(484HP<_3;:DATA(84h44 j3Ӛ3DATA(h4484 j3Xj3DATA(44h4Ƞ 4(ۂ-DATA(4h<4 4Hۂ-DATA(h<(<4(aZ4hۂ-DATA((<&S4h<P4ۂ-DATA(&S4h Q4(<P4ۂ-DATA(h Q4j3&S4j3#4DATA(j3xq3h Q4ڂ-ۂ-DATA(xq33j38ך3XԚ3DATA(3Ӈ3xq3H<8"<DATA(Ӈ3X338 j3H՚3DATA(X3\3Ӈ3)4ۂ-DATA(\33X3H\3"<%DATA(3(4\33!< DATA((4X43j38ؚ3DATA(X44(4J4x!<DATA(44X48:.4H!<DATA(444<.4!<DATA(44Xj3ؚ3DATA 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)3DATAXj3j3TX9TXText 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