// Stefano Calcaterra, 405769 // Final Project - Composizione //funzioni utili function sdoppia (asse, val, controlpoints) { var array_new = new Array(); for(i=0; i<controlpoints.length; i++) { var array = controlpoints[i]; var x = array[0]; var y = array[1]; var z = array[2]; if (asse == 0) array_new.push([x+val,y,z]); if (asse == 1) array_new.push([x,y+val,z]); if (asse == 2) array_new.push([x,y,z+val]); } return array_new; } //porzione di arco pieno function arc (alpha, r, R) { var domain = DOMAIN([[0,alpha],[r,R]])([36,1]); var mapping = function (v) { var a = v[0]; var r = v[1]; return [r*COS(a), r*SIN(a)]; } var model = MAP(mapping)(domain); return model; } //sfera function sfera (alpha, r, R) { var domain = DOMAIN([[0,alpha],[r,R],[0,alpha]])([36,1,36]); var mapping = function (v) { var a = v[0]; var r = v[1]; var a2 = v[2]; return [r*SIN(a2)*COS(a), r*SIN(a2)*SIN(a), r*COS(a2)]; } var model = MAP(mapping)(domain); return model; } var dom1 = PROD1x1([INTERVALS(1)(36),INTERVALS(1)(36)]); //////////////////////////////////////////////////////////// TAVOLINO ISAMU NOGUCHI //////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////// piano superiore //////////////////////////////////////////////////////////// var x = MAP(BEZIER(S0)([[-6.4,0,0],[6.4,0,0]]))(dom1); var mediana = MAP(BEZIER(S0)([[0,0,0],[0,9.3,0]]))(dom1); var y = MAP(BEZIER(S0)([[-6.4,0,0],[-6.4,9.3,0]]))(dom1); var piano_superiore_struct_s_down = BEZIER(S0)([[0,0,0],[-1,0,0],[-2,0,0],[-16,-1,0],[-1.5,10,0],[0,9.3,0]]); var piano_superiore_struct_d_down = BEZIER(S0)([[0,0,0],[1,0,0],[2,0,0],[16,-1,0],[1.5,10,0],[0,9.3,0]]); var piano_superiore_struct_s_med = BEZIER(S0)([[0,-0.15,0.1],[-1,-0.15,0.1],[-2,-0.15,0.1],[-16.15,-1,0.1],[-1.5,10.15,0.1],[0,9.45,0.1]]); var piano_superiore_struct_d_med = BEZIER(S0)([[0,-0.15,0.1],[1,-0.15,0.1],[2,-0.15,0.1],[16.15,-1,0.1],[1.5,10.15,0.1],[0,9.45,0.1]]); var piano_superiore_struct_s_up = BEZIER(S0)([[0,0,0.2],[-1,0,0.2],[-2,0,0.2],[-16,-1,0.2],[-1.5,10,0.2],[0,9.3,0.2]]); var piano_superiore_struct_d_up = BEZIER(S0)([[0,0,0.2],[1,0,0.2],[2,0,0.2],[16,-1,0.2],[1.5,10,0.2],[0,9.3,0.2]]); var surf_down = MAP(BEZIER(S1)([piano_superiore_struct_s_down,piano_superiore_struct_d_down]))(dom1); var surf_up = MAP(BEZIER(S1)([piano_superiore_struct_d_up,piano_superiore_struct_s_up]))(dom1); var surf_lat1 = MAP(BEZIER(S1)([piano_superiore_struct_s_up, piano_superiore_struct_s_med, piano_superiore_struct_s_down]))(dom1); var surf_lat2 = MAP(BEZIER(S1)([piano_superiore_struct_d_down,piano_superiore_struct_d_med, piano_superiore_struct_d_up]))(dom1); var surf_tot = STRUCT([surf_down, surf_up, surf_lat1, surf_lat2]); //DRAW(surf_tot); var piano = T([2])([4])(surf_tot); //////////////////////////////////////////////////////////// base //////////////////////////////////////////////////////////// var cp1_s = [[0.25,0,0],[-0.5,0,1.25],[0.7,0,4]]; var cp2_s = [[0.7,0,4],[1.25,0,4]]; var cp3_s = [[1.25,0,4],[1.8,0,1.5],[2,0,1.5],[2.2,0,1.25],[3,0,1],[4.5,0,0.75],[5.75,0,0.75],[6.2,0,1],[6.7,0,1.5],[6.75,0,2]]; var cp4_s = [[6.75,0,2],[7.25,0,2]]; var cp5_s = [[7.25,0,2],[8.5,0,0.75],[7.75,0,0]]; var cp_b_1_s = [[0.25,0,0],[0.75,0,0]]; var cp_b_2_s = [[0.75,0,0],[1.25,0,0]]; var cp_b_3_s = [[1.25,0,0],[6.75,0,0]]; var cp_b_4_s = [[6.75,0,0],[7.25,0,0]]; var cp_b_5_s = [[7.25,0,0],[7.75,0,0]]; var cp1_d = sdoppia(1,0.4,cp1_s); var cp2_d = sdoppia(1,0.4,cp2_s); var cp3_d = sdoppia(1,0.4,cp3_s); var cp4_d = sdoppia(1,0.4,cp4_s); var cp5_d = sdoppia(1,0.4,cp5_s); var cp_b_1_d = sdoppia(1,0.4,cp_b_1_s); var cp_b_2_d = sdoppia(1,0.4,cp_b_2_s); var cp_b_3_d = sdoppia(1,0.4,cp_b_3_s); var cp_b_4_d = sdoppia(1,0.4,cp_b_4_s); var cp_b_5_d = sdoppia(1,0.4,cp_b_5_s); var cp1_med = [[0.25,0.2,0],[-1,0.2,1.25],[0.7,0.2,4]]; var cp3_med = [[1.25,0.2,4],[2.3,0.2,1.5],[2.5,0.2,2],[2.7,0.2,1.5],[3,0.2,1.5],[4.5,0.2,1.75],[5.75,0.2,1.25],[6.2,0.2,1.5],[6.7,0.2,2],[6.75,0.2,2]]; var cp5_med = [[7.25,0.2,2],[9.25,0.2,0.75],[7.75,0.2,0]]; var c1_s = BEZIER(S0)(cp1_s); var c2_s = BEZIER(S0)(cp2_s); var c3_s = BEZIER(S0)(cp3_s); var c4_s = BEZIER(S0)(cp4_s); var c5_s = BEZIER(S0)(cp5_s); var b1_s = BEZIER(S0)(cp_b_1_s); var b2_s = BEZIER(S0)(cp_b_2_s); var b3_s = BEZIER(S0)(cp_b_3_s); var b4_s = BEZIER(S0)(cp_b_4_s); var b5_s = BEZIER(S0)(cp_b_5_s); var b_tot_s = BEZIER(S0)([[0.25,0,0],[7.75,0,0]]); var c1_d = BEZIER(S0)(cp1_d); var c2_d = BEZIER(S0)(cp2_d); var c3_d = BEZIER(S0)(cp3_d); var c4_d = BEZIER(S0)(cp4_d); var c5_d = BEZIER(S0)(cp5_d); var b1_d = BEZIER(S0)(cp_b_1_d); var b2_d = BEZIER(S0)(cp_b_2_d); var b3_d = BEZIER(S0)(cp_b_3_d); var b4_d = BEZIER(S0)(cp_b_4_d); var b5_d = BEZIER(S0)(cp_b_5_d); var b_tot_d = BEZIER(S0)([[0.25,0.4,0],[7.75,0.4,0]]); var med1 = BEZIER(S0)(cp1_med); var med3 = BEZIER(S0)(cp3_med); var med5 = BEZIER(S0)(cp5_med); //DRAW(STRUCT([x1,x2,y1,y2,c1_s,c2_s,c3_s,c4_s,c5_s,c1_d,c2_d,c3_d,c4_d,c5_d])); var s1_s = MAP(BEZIER(S1)([b1_s,c1_s]))(dom1); var s2_s = MAP(BEZIER(S1)([b2_s,c2_s]))(dom1); var s3_s = MAP(BEZIER(S1)([b3_s,c3_s]))(dom1); var s4_s = MAP(BEZIER(S1)([b4_s,c4_s]))(dom1); var s5_s = MAP(BEZIER(S1)([b5_s,c5_s]))(dom1); var sup_s = STRUCT([s1_s,s2_s,s3_s,s4_s,s5_s]); var s1_d = MAP(BEZIER(S1)([c1_d,b1_d]))(dom1); var s2_d = MAP(BEZIER(S1)([c2_d,b2_d]))(dom1); var s3_d = MAP(BEZIER(S1)([c3_d,b3_d]))(dom1); var s4_d = MAP(BEZIER(S1)([c4_d,b4_d]))(dom1); var s5_d = MAP(BEZIER(S1)([c5_d,b5_d]))(dom1); var sup_d = STRUCT([s1_d,s2_d,s3_d,s4_d,s5_d]); var lat1 = MAP(BEZIER(S1)([c1_s,med1,c1_d]))(dom1); var lat2 = MAP(BEZIER(S1)([c2_s,c2_d]))(dom1); var lat3 = MAP(BEZIER(S1)([c3_s,med3,c3_d]))(dom1); var lat4 = MAP(BEZIER(S1)([c4_s,c4_d]))(dom1); var lat5 = MAP(BEZIER(S1)([c5_s,med5,c5_d]))(dom1); var lat6 = MAP(BEZIER(S1)([b_tot_d,b_tot_s]))(dom1); var lat_tot = STRUCT([lat1,lat2,lat3,lat4,lat5,lat6]); var elemento_base = STRUCT([sup_s,sup_d,lat_tot]); //// assemblaggio base //// var base1 = T([0,1])([1.75-6.4-0.25,1.75])(R([0,1])(PI/4)(elemento_base)); var elemento_base_ribaltato = R([1,2])(PI)(elemento_base); var base2 = T([0,1,2])([4.7,1.75,4])(R([0,1])(3*PI/4)(elemento_base_ribaltato)); //DRAW(STRUCT([base1,base2,x,y,mediana])); var base = STRUCT([base1,base2]); var tavolino_isamu_noguchi = STRUCT([ COLOR([0.67,0.8,0.93,0.5])(piano) , COLOR([0.2,0.2,0.2])(base) ]); //////////////////////////////////////////////////////////// TAVOLINO DA PRANZO NOGUCHI //////////////////////////////////////////////////////////// /////////////////////////// piano superiore /////////////////////////// var piano_superiore_struct = EXTRUDE([0.2])(arc(2*PI, 0, 6)); var piano_superiore = T([2])([7.25])(piano_superiore_struct); /////////////////////////// base /////////////////////////// var alpha = BEZIER(S0)([[1,0,0.4],[1.1,0,0.4],[1.2,0,0.4],[1.3,0,0.4],[1.4,0,0.4],[1.5,0,0.4],[1.5,0,0.4],[1.8,0,0.2],[2.4,0,0.2],[2.5,0,0]]); var alpha2 = BEZIER(S0)([[1,0,0],[1,0,0.4]]); var alpha3= BEZIER(S0)([[1,0,0],[2.5,0,0]]); var beta = BEZIER(S1)([[2.4,0,0],[2.4,3.05,0],[-2.4,3.05,0],[-2.4,0,0]]); var surface1 = MAP(PROFILEPROD_SURFACE([alpha,beta]))(dom1); var surface1_scaled = SCALE([0,1])([0.5,0.5])(surface1); var surface2 = MAP(PROFILEPROD_SURFACE([alpha2,beta]))(dom1); var surface2_scaled = SCALE([0,1])([0.5,0.5])(surface2); var surface3 = MAP(PROFILEPROD_SURFACE([alpha3,beta]))(dom1); var surface3_scaled = SCALE([0,1])([0.5,0.5])(surface3); var base1 = STRUCT(REPLICA(2)([surface1_scaled,R([0,1])(PI)])); var base2 = STRUCT(REPLICA(2)([surface2_scaled,R([0,1])(PI)])); var base3 = STRUCT(REPLICA(2)([surface3_scaled,R([0,1])(PI)])); //DRAW(STRUCT([MAP(alpha)(dom1),MAP(beta)(dom1), base1, base2])) var base = STRUCT([base1, base2, base3]); /////////////////////////// corpo /////////////////////////// var elemento_corpo_d_struct = EXTRUDE([7.8])(arc(2*PI, 0, 0.03)); var elemento_corpo_ds1 = STRUCT(REPLICA(2)([elemento_corpo_d_struct,R([0,2])(PI/6)])); var elemento_corpo_ds2 = R([0,2])(-PI/12)(elemento_corpo_ds1); var elemento_corpo_ds = T([1,2])([-1.4,0.4])(R([1,2])(-PI/8)(elemento_corpo_ds2)); //15° var elementi_corpo_tot = STRUCT(REPLICA(7)([elemento_corpo_ds,R([0,1])(PI/3.5)])); var anello_struct = EXTRUDE([0.05])(arc(2*PI, 2.4, 2.5)); var anello = T([2])([7.20])(anello_struct); var corpo = STRUCT([elementi_corpo_tot, anello]); //DRAW(STRUCT([piano_superiore, base, elementi_corpo_tot])) var tavolino_da_pranzo_noguchi = STRUCT([COLOR([2,2,2])(piano_superiore), COLOR([0.2,0.2,0.2])(base), COLOR([0,0,0])(corpo)]); //////////////////////////////////////////////////////////// LAMPADA ALFA //////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////// base //////////////////////////////////////////////////////////// var alpha_base = BEZIER(S0)([[0.55,0,0.4],[0.7,0,0.15]]); var alpha2_base = BEZIER(S0)([[0.7,0,0.15],[0.7,0,0]]); var alpha3_base = BEZIER(S0)([[0,0,0.4],[0.55,0,0.4]]); var alpha4_base = BEZIER(S0)([[0,0,0],[0.7,0,0]]); var beta_base = BEZIER(S1)([[0.7,0,0],[0.7,0.95,0],[-0.7,0.95,0],[-0.7,0,0]]); var surface1_base = MAP(PROFILEPROD_SURFACE([alpha_base, beta_base]))(dom1); var surface1_base_scaled = SCALE([0,1])([1.4,1.4])(surface1_base); var surface2_base = MAP(PROFILEPROD_SURFACE([alpha2_base, beta_base]))(dom1); var surface2_base_scaled = SCALE([0,1])([1.4,1.4])(surface2_base); var surface3_base = MAP(PROFILEPROD_SURFACE([alpha3_base, beta_base]))(dom1); var surface3_base_scaled = SCALE([0,1])([1.4,1.4])(surface3_base); var surface4_base = MAP(PROFILEPROD_SURFACE([alpha4_base, beta_base]))(dom1); var surface4_base_scaled = SCALE([0,1])([1.4,1.4])(surface4_base); var base1 = STRUCT(REPLICA(2)([surface1_base_scaled,R([0,1])(PI)])); var base2 = STRUCT(REPLICA(2)([surface2_base_scaled,R([0,1])(PI)])); var base3 = STRUCT(REPLICA(2)([surface3_base_scaled,R([0,1])(PI)])); var base4 = STRUCT(REPLICA(2)([surface4_base_scaled,R([0,1])(PI)])); //DRAW(STRUCT([MAP(alpha_base)(dom1),MAP(beta_base)(dom1), base1, base2, base3, base4])); var base = STRUCT([base1, base2, base3, base4]); //////////////////////////////////////////////////////////// corpo //////////////////////////////////////////////////////////// var corpo1 = EXTRUDE([0.45])(arc(2*PI, 0, 0.175)); var corpo2 = EXTRUDE([0.7])(arc(2*PI, 0, 0.1)); var corpo3 = EXTRUDE([0.5])(arc(2*PI, 0, 0.175)); var corpo3 = T([2])([2.8])(corpo3); var corpo4 = EXTRUDE([5])(arc(2*PI, 0, 0.075)); var corpo5 = EXTRUDE([0.1])(arc(2*PI, 0, 0.95)); var corpo5 = T([2])([3])(corpo5); var corpo6 = EXTRUDE([0.1])(arc(2*PI, 0, 1)); var corpo6 = T([2])([3.1])(corpo6); var sfera = sfera(2*PI, 0, 0.3); var sfera = T([2])([4.75])(sfera); var corpo = STRUCT([corpo1, corpo2, corpo3, corpo4, corpo5, corpo6, sfera]); //////////////////////////////////////////////////////////// paralume //////////////////////////////////////////////////////////// var alpha_paralume = BEZIER(S0)([[0.9,0,3],[1.7,0,2.4],[1.6,0,1.7]]); var beta_paralume = BEZIER(S1)([[1.6,0,1.7],[1.6,2.2,1.7],[-1.6,2.2,1.7],[-1.6,0,1.7]]); var surface1_paralume = MAP(PROFILEPROD_SURFACE([alpha_paralume, beta_paralume]))(dom1); var surface1_paralume_scaled = SCALE([0,1])([0.63,0.63])(surface1_paralume); var paralume = STRUCT(REPLICA(2)([surface1_paralume_scaled,R([0,1])(PI)])); //DRAW(STRUCT([MAP(alpha_paralume)(dom1),COLOR([1,0,0])(MAP(beta_paralume)(dom1)), paralume1])); var lampada_alfa = STRUCT([COLOR([0.2,0.2,0.2])(base), COLOR([0.6,0.6,0.6])(corpo), COLOR([2,1.9,1.8])(paralume)]); //////////////////////////////////////////////////////////// SEDIA TOGA //////////////////////////////////////////////////////////// var c1 = BEZIER(S0)([[-3,0,0],[-2.5,0,3],[-2.8,0,6],[0,0,1],[0,0,1],[2.8,0,6],[2.5,0,3],[3,0,0]]); var c2 = BEZIER(S0)([[-4.2,0.2,0],[-4.2,0.2,7],[-2.5,0.2,7],[-2.5,0.2,4],[-2.5,0.2,4],[-2.5,0.2,4],[-2.5,0.2,4],[0,0,2],[2.5,0.2,4],[2.5,0.2,4],[2.5,0.2,4],[2.5,0.2,4],[2.5,0.2,7],[4.2,0.2,7],[4.2,0.2,0]]); var c3 = BEZIER(S0)([[-4.5,1,0],[-4.2,1,7],[-2.5,1,7],[-2.5,1,4],[-2.5,1,4],[-2.5,1,4],[-2.5,1,4],[0,1,2],[2.5,1,4],[2.5,1,4],[2.5,1,4],[2.5,1,4],[2.5,1,7],[4.2,1,7],[4.5,1,0]]); var c4 = BEZIER(S0)([[-4.1,4,0],[-3.7,4,5],[-3,4,5],[-3,4,3.5],[-3,4,3.5],[-3,4,3.5],[-3,4,3.5],[0,4,2],[3,4,3.5],[3,4,3.5],[3,4,3.5],[3,4,3.5],[3,4,5],[3.7,4,5],[4.1,4,0]]); var c5 = BEZIER(S0)([[-4,4.5,0],[-3,4.5,6],[-3,4.5,6],[-3,4.5,6],[0,6,5.5],[0,6,5.5],[3,4.5,6],[3,4.5,6],[3,4.5,6],[4,4.5,0]]); var c6 = BEZIER(S0)([[-3.9,5,0],[-3,5,7.5],[-3,5,7.5],[-3,5,7.5],[0,5,5.5],[3,5,7.5],[3,5,7.5],[3,5,7.5],[3.9,5,0]]); var c7 = BEZIER(S0)([[-3.6,6.5,0],[-3,6,7.5],[-3,6,7.5],[-3,6,7.5],[0,6,5.5],[3,6,7.5],[3,6,7.5],[3,6,7.5],[3.6,6.5,0]]); var c8 = BEZIER(S0)([[-3,6.5,0],[-2,6,6.5],[-2,6,6.5],[-2,6,6.5],[0,6,4.5],[2,6,6.5],[2,6,6.5],[2,6,6.5],[3,6.5,0]]); var sedia_toga = MAP(BEZIER(S1)([c1, c2,c2,c2, c3, c4, c4, c4, c4, c4, c4, c4, c5,c5,c5, c6,c6,c6,c6,c6,c6, c7, c7, c7, c8]))(dom1); var sedia_toga = COLOR([1.3,0,0])(T([1])([8])(sedia_toga)); var sedie = STRUCT(REPLICA(2)([sedia_toga, R([0,1])(PI/2)])); //////////////////////////////////////////////////////////// totale //////////////////////////////////////////////////////////// DRAW(STRUCT([tavolino_isamu_noguchi, T([0,1])([19,15])(tavolino_da_pranzo_noguchi), T([1,2])([4,4.2])(lampada_alfa), T([1])([4])(sedie)]));