c

Iteración 400

Iteraciones

Trazado

a_{n+1}=r²+c

Transformación

Termina

a_n = r

a_0 =0

f_1(x) = x² + x

f_2(x) = f_1(x)² + x

f_3(x) = f_2(x)² + x

f_4(x) = f_3(x)² + x

f1(x) = x^(2) + x
A1 = (0, 0)
intervalo = Segment((-2.1, 0), (0.5, 0))
C = Point(intervalo)
E1: C
G1: (x(E1)^(2), 0)
H1 = Semicircle(G1, E1)
E2: G1 + C
J1 = Vector(G1, E2)
G2: (x(E2)^(2), 0)
H2 = Semicircle(G2, E2)
E3: G2 + C
J2 = Vector(G2, E3)
G3: (x(E3)^(2), 0)
H3 = Semicircle(G3, E3)
E4: G3 + C
J3 = Vector(G3, E4)
G4: (x(E4)^(2), 0)
H4 = Semicircle(G4, E4)
E5: G4 + C
J4 = Vector(G4, E5)
G5: (x(E5)^(2), 0)
H5 = Semicircle(G5, E5)
E6: G5 + C
J5 = Vector(G5, E6)
G6: (x(E6)^(2), 0)
H6 = Semicircle(G6, E6)
E7: G6 + C
J6 = Vector(G6, E7)
G7: (x(E7)^(2), 0)
H7 = Semicircle(G7, E7)
E8: G7 + C
J7 = Vector(G7, E8)
G8: (x(E8)^(2), 0)
H8 = Semicircle(G8, E8)
E9: G8 + C
J8 = Vector(G8, E9)
G9: (x(E9)^(2), 0)
H9 = Semicircle(G9, E9)
E10: G9 + C
J9 = Vector(G9, E10)
G10: (x(E10)^(2), 0)
E11: G10 + C
J10 = Vector(G10, E11)
H10 = Semicircle(G10, E10)
cero = 0 (slider from -5 to 5, step 1)
c: round((1000 * x(C))) / 1000
A2: (x(A1)^(2) + c, 0)
A3: (x(A2)^(2) + c, 0)
A4: (x(A3)^(2) + c, 0)
A5: (x(A4)^(2) + c, 0)
A6: (x(A5)^(2) + c, 0)
A7: (x(A6)^(2) + c, 0)
A8: (x(A7)^(2) + c, 0)
A9: (x(A8)^(2) + c, 0)
A10: (x(A9)^(2) + c, 0)
A11: (x(A10)^(2) + c, 0)
A12: (x(A11)^(2) + c, 0)
A13: (x(A12)^(2) + c, 0)
A14: (x(A13)^(2) + c, 0)
A15: (x(A14)^(2) + c, 0)
A16: (x(A15)^(2) + c, 0)
A17: (x(A16)^(2) + c, 0)
A18: (x(A17)^(2) + c, 0)
A19: (x(A18)^(2) + c, 0)
A20: (x(A19)^(2) + c, 0)
A21: (x(A20)^(2) + c, 0)
A22: (x(A21)^(2) + c, 0)
A23: (x(A22)^(2) + c, 0)
A24: (x(A23)^(2) + c, 0)
A25: (x(A24)^(2) + c, 0)
A26: (x(A25)^(2) + c, 0)
A27: (x(A26)^(2) + c, 0)
A28: (x(A27)^(2) + c, 0)
A29: (x(A28)^(2) + c, 0)
A30: (x(A29)^(2) + c, 0)
A31: (x(A30)^(2) + c, 0)
A32: (x(A31)^(2) + c, 0)
A33: (x(A32)^(2) + c, 0)
A34: (x(A33)^(2) + c, 0)
A35: (x(A34)^(2) + c, 0)
A36: (x(A35)^(2) + c, 0)
A37: (x(A36)^(2) + c, 0)
A38: (x(A37)^(2) + c, 0)
A39: (x(A38)^(2) + c, 0)
A40: (x(A39)^(2) + c, 0)
A41: (x(A40)^(2) + c, 0)
A42: (x(A41)^(2) + c, 0)
A43: (x(A42)^(2) + c, 0)
A44: (x(A43)^(2) + c, 0)
A45: (x(A44)^(2) + c, 0)
A46: (x(A45)^(2) + c, 0)
A47: (x(A46)^(2) + c, 0)
A48: (x(A47)^(2) + c, 0)
A49: (x(A48)^(2) + c, 0)
A50: (x(A49)^(2) + c, 0)
A51: (x(A50)^(2) + c, 0)
A52: (x(A51)^(2) + c, 0)
A53: (x(A52)^(2) + c, 0)
A54: (x(A53)^(2) + c, 0)
A55: (x(A54)^(2) + c, 0)
A56: (x(A55)^(2) + c, 0)
A57: (x(A56)^(2) + c, 0)
A58: (x(A57)^(2) + c, 0)
A59: (x(A58)^(2) + c, 0)
A60: (x(A59)^(2) + c, 0)
A61: (x(A60)^(2) + c, 0)
A62: (x(A61)^(2) + c, 0)
A63: (x(A62)^(2) + c, 0)
A64: (x(A63)^(2) + c, 0)
A65: (x(A64)^(2) + c, 0)
A66: (x(A65)^(2) + c, 0)
A67: (x(A66)^(2) + c, 0)
A68: (x(A67)^(2) + c, 0)
A69: (x(A68)^(2) + c, 0)
A70: (x(A69)^(2) + c, 0)
A71: (x(A70)^(2) + c, 0)
A72: (x(A71)^(2) + c, 0)
A73: (x(A72)^(2) + c, 0)
A74: (x(A73)^(2) + c, 0)
A75: (x(A74)^(2) + c, 0)
A76: (x(A75)^(2) + c, 0)
A77: (x(A76)^(2) + c, 0)
A78: (x(A77)^(2) + c, 0)
A79: (x(A78)^(2) + c, 0)
A80: (x(A79)^(2) + c, 0)
A81: (x(A80)^(2) + c, 0)
A82: (x(A81)^(2) + c, 0)
A83: (x(A82)^(2) + c, 0)
A84: (x(A83)^(2) + c, 0)
A85: (x(A84)^(2) + c, 0)
A86: (x(A85)^(2) + c, 0)
A87: (x(A86)^(2) + c, 0)
A88: (x(A87)^(2) + c, 0)
A89: (x(A88)^(2) + c, 0)
A90: (x(A89)^(2) + c, 0)
A91: (x(A90)^(2) + c, 0)
A92: (x(A91)^(2) + c, 0)
A93: (x(A92)^(2) + c, 0)
A94: (x(A93)^(2) + c, 0)
A95: (x(A94)^(2) + c, 0)
A96: (x(A95)^(2) + c, 0)
A97: (x(A96)^(2) + c, 0)
A98: (x(A97)^(2) + c, 0)
A99: (x(A98)^(2) + c, 0)
A100: (x(A99)^(2) + c, 0)
A101: (x(A100)^(2) + c, 0)
A102: (x(A101)^(2) + c, 0)
A103: (x(A102)^(2) + c, 0)
A104: (x(A103)^(2) + c, 0)
A105: (x(A104)^(2) + c, 0)
A106: (x(A105)^(2) + c, 0)
A107: (x(A106)^(2) + c, 0)
A108: (x(A107)^(2) + c, 0)
A109: (x(A108)^(2) + c, 0)
A110: (x(A109)^(2) + c, 0)
A111: (x(A110)^(2) + c, 0)
A112: (x(A111)^(2) + c, 0)
A113: (x(A112)^(2) + c, 0)
A114: (x(A113)^(2) + c, 0)
A115: (x(A114)^(2) + c, 0)
A116: (x(A115)^(2) + c, 0)
A117: (x(A116)^(2) + c, 0)
A118: (x(A117)^(2) + c, 0)
A119: (x(A118)^(2) + c, 0)
A120: (x(A119)^(2) + c, 0)
A121: (x(A120)^(2) + c, 0)
A122: (x(A121)^(2) + c, 0)
A123: (x(A122)^(2) + c, 0)
A124: (x(A123)^(2) + c, 0)
A125: (x(A124)^(2) + c, 0)
A126: (x(A125)^(2) + c, 0)
A127: (x(A126)^(2) + c, 0)
A128: (x(A127)^(2) + c, 0)
A129: (x(A128)^(2) + c, 0)
A130: (x(A129)^(2) + c, 0)
A131: (x(A130)^(2) + c, 0)
A132: (x(A131)^(2) + c, 0)
A133: (x(A132)^(2) + c, 0)
A134: (x(A133)^(2) + c, 0)
A135: (x(A134)^(2) + c, 0)
A136: (x(A135)^(2) + c, 0)
A137: (x(A136)^(2) + c, 0)
A138: (x(A137)^(2) + c, 0)
A139: (x(A138)^(2) + c, 0)
A140: (x(A139)^(2) + c, 0)
A141: (x(A140)^(2) + c, 0)
A142: (x(A141)^(2) + c, 0)
A143: (x(A142)^(2) + c, 0)
A144: (x(A143)^(2) + c, 0)
A145: (x(A144)^(2) + c, 0)
A146: (x(A145)^(2) + c, 0)
A147: (x(A146)^(2) + c, 0)
A148: (x(A147)^(2) + c, 0)
A149: (x(A148)^(2) + c, 0)
A150: (x(A149)^(2) + c, 0)
A151: (x(A150)^(2) + c, 0)
A152: (x(A151)^(2) + c, 0)
A153: (x(A152)^(2) + c, 0)
A154: (x(A153)^(2) + c, 0)
A155: (x(A154)^(2) + c, 0)
A156: (x(A155)^(2) + c, 0)
A157: (x(A156)^(2) + c, 0)
A158: (x(A157)^(2) + c, 0)
A159: (x(A158)^(2) + c, 0)
A160: (x(A159)^(2) + c, 0)
A161: (x(A160)^(2) + c, 0)
A162: (x(A161)^(2) + c, 0)
A163: (x(A162)^(2) + c, 0)
A164: (x(A163)^(2) + c, 0)
A165: (x(A164)^(2) + c, 0)
A166: (x(A165)^(2) + c, 0)
A167: (x(A166)^(2) + c, 0)
A168: (x(A167)^(2) + c, 0)
A169: (x(A168)^(2) + c, 0)
A170: (x(A169)^(2) + c, 0)
A171: (x(A170)^(2) + c, 0)
A172: (x(A171)^(2) + c, 0)
A173: (x(A172)^(2) + c, 0)
A174: (x(A173)^(2) + c, 0)
A175: (x(A174)^(2) + c, 0)
A176: (x(A175)^(2) + c, 0)
A177: (x(A176)^(2) + c, 0)
A178: (x(A177)^(2) + c, 0)
A179: (x(A178)^(2) + c, 0)
A180: (x(A179)^(2) + c, 0)
A181: (x(A180)^(2) + c, 0)
A182: (x(A181)^(2) + c, 0)
A183: (x(A182)^(2) + c, 0)
A184: (x(A183)^(2) + c, 0)
A185: (x(A184)^(2) + c, 0)
A186: (x(A185)^(2) + c, 0)
A187: (x(A186)^(2) + c, 0)
A188: (x(A187)^(2) + c, 0)
A189: (x(A188)^(2) + c, 0)
A190: (x(A189)^(2) + c, 0)
A191: (x(A190)^(2) + c, 0)
A192: (x(A191)^(2) + c, 0)
A193: (x(A192)^(2) + c, 0)
A194: (x(A193)^(2) + c, 0)
A195: (x(A194)^(2) + c, 0)
A196: (x(A195)^(2) + c, 0)
A197: (x(A196)^(2) + c, 0)
A198: (x(A197)^(2) + c, 0)
A199: (x(A198)^(2) + c, 0)
A200: (x(A199)^(2) + c, 0)
A201: (x(A200)^(2) + c, 0)
A202: (x(A201)^(2) + c, 0)
A203: (x(A202)^(2) + c, 0)
A204: (x(A203)^(2) + c, 0)
A205: (x(A204)^(2) + c, 0)
A206: (x(A205)^(2) + c, 0)
A207: (x(A206)^(2) + c, 0)
A208: (x(A207)^(2) + c, 0)
A209: (x(A208)^(2) + c, 0)
A210: (x(A209)^(2) + c, 0)
A211: (x(A210)^(2) + c, 0)
A212: (x(A211)^(2) + c, 0)
A213: (x(A212)^(2) + c, 0)
A214: (x(A213)^(2) + c, 0)
A215: (x(A214)^(2) + c, 0)
A216: (x(A215)^(2) + c, 0)
A217: (x(A216)^(2) + c, 0)
A218: (x(A217)^(2) + c, 0)
A219: (x(A218)^(2) + c, 0)
A220: (x(A219)^(2) + c, 0)
A221: (x(A220)^(2) + c, 0)
A222: (x(A221)^(2) + c, 0)
A223: (x(A222)^(2) + c, 0)
A224: (x(A223)^(2) + c, 0)
A225: (x(A224)^(2) + c, 0)
A226: (x(A225)^(2) + c, 0)
A227: (x(A226)^(2) + c, 0)
A228: (x(A227)^(2) + c, 0)
A229: (x(A228)^(2) + c, 0)
A230: (x(A229)^(2) + c, 0)
A231: (x(A230)^(2) + c, 0)
A232: (x(A231)^(2) + c, 0)
A233: (x(A232)^(2) + c, 0)
A234: (x(A233)^(2) + c, 0)
A235: (x(A234)^(2) + c, 0)
A236: (x(A235)^(2) + c, 0)
A237: (x(A236)^(2) + c, 0)
A238: (x(A237)^(2) + c, 0)
A239: (x(A238)^(2) + c, 0)
A240: (x(A239)^(2) + c, 0)
A241: (x(A240)^(2) + c, 0)
A242: (x(A241)^(2) + c, 0)
A243: (x(A242)^(2) + c, 0)
A244: (x(A243)^(2) + c, 0)
A245: (x(A244)^(2) + c, 0)
A246: (x(A245)^(2) + c, 0)
A247: (x(A246)^(2) + c, 0)
A248: (x(A247)^(2) + c, 0)
A249: (x(A248)^(2) + c, 0)
A250: (x(A249)^(2) + c, 0)
A251: (x(A250)^(2) + c, 0)
A252: (x(A251)^(2) + c, 0)
A253: (x(A252)^(2) + c, 0)
A254: (x(A253)^(2) + c, 0)
A255: (x(A254)^(2) + c, 0)
A256: (x(A255)^(2) + c, 0)
A257: (x(A256)^(2) + c, 0)
A258: (x(A257)^(2) + c, 0)
A259: (x(A258)^(2) + c, 0)
A260: (x(A259)^(2) + c, 0)
A261: (x(A260)^(2) + c, 0)
A262: (x(A261)^(2) + c, 0)
A263: (x(A262)^(2) + c, 0)
A264: (x(A263)^(2) + c, 0)
A265: (x(A264)^(2) + c, 0)
A266: (x(A265)^(2) + c, 0)
A267: (x(A266)^(2) + c, 0)
A268: (x(A267)^(2) + c, 0)
A269: (x(A268)^(2) + c, 0)
A270: (x(A269)^(2) + c, 0)
A271: (x(A270)^(2) + c, 0)
A272: (x(A271)^(2) + c, 0)
A273: (x(A272)^(2) + c, 0)
A274: (x(A273)^(2) + c, 0)
A275: (x(A274)^(2) + c, 0)
A276: (x(A275)^(2) + c, 0)
A277: (x(A276)^(2) + c, 0)
A278: (x(A277)^(2) + c, 0)
A279: (x(A278)^(2) + c, 0)
A280: (x(A279)^(2) + c, 0)
A281: (x(A280)^(2) + c, 0)
A282: (x(A281)^(2) + c, 0)
A283: (x(A282)^(2) + c, 0)
A284: (x(A283)^(2) + c, 0)
A285: (x(A284)^(2) + c, 0)
A286: (x(A285)^(2) + c, 0)
A287: (x(A286)^(2) + c, 0)
A288: (x(A287)^(2) + c, 0)
A289: (x(A288)^(2) + c, 0)
A290: (x(A289)^(2) + c, 0)
A291: (x(A290)^(2) + c, 0)
A292: (x(A291)^(2) + c, 0)
A293: (x(A292)^(2) + c, 0)
A294: (x(A293)^(2) + c, 0)
A295: (x(A294)^(2) + c, 0)
A296: (x(A295)^(2) + c, 0)
A297: (x(A296)^(2) + c, 0)
A298: (x(A297)^(2) + c, 0)
A299: (x(A298)^(2) + c, 0)
A300: (x(A299)^(2) + c, 0)
A301: (x(A300)^(2) + c, 0)
A302: (x(A301)^(2) + c, 0)
A303: (x(A302)^(2) + c, 0)
A304: (x(A303)^(2) + c, 0)
A305: (x(A304)^(2) + c, 0)
A306: (x(A305)^(2) + c, 0)
A307: (x(A306)^(2) + c, 0)
A308: (x(A307)^(2) + c, 0)
A309: (x(A308)^(2) + c, 0)
A310: (x(A309)^(2) + c, 0)
A311: (x(A310)^(2) + c, 0)
A312: (x(A311)^(2) + c, 0)
A313: (x(A312)^(2) + c, 0)
A314: (x(A313)^(2) + c, 0)
A315: (x(A314)^(2) + c, 0)
A316: (x(A315)^(2) + c, 0)
A317: (x(A316)^(2) + c, 0)
A318: (x(A317)^(2) + c, 0)
A319: (x(A318)^(2) + c, 0)
A320: (x(A319)^(2) + c, 0)
A321: (x(A320)^(2) + c, 0)
A322: (x(A321)^(2) + c, 0)
A323: (x(A322)^(2) + c, 0)
A324: (x(A323)^(2) + c, 0)
A325: (x(A324)^(2) + c, 0)
A326: (x(A325)^(2) + c, 0)
A327: (x(A326)^(2) + c, 0)
A328: (x(A327)^(2) + c, 0)
A329: (x(A328)^(2) + c, 0)
A330: (x(A329)^(2) + c, 0)
A331: (x(A330)^(2) + c, 0)
A332: (x(A331)^(2) + c, 0)
A333: (x(A332)^(2) + c, 0)
A334: (x(A333)^(2) + c, 0)
A335: (x(A334)^(2) + c, 0)
A336: (x(A335)^(2) + c, 0)
A337: (x(A336)^(2) + c, 0)
A338: (x(A337)^(2) + c, 0)
A339: (x(A338)^(2) + c, 0)
A340: (x(A339)^(2) + c, 0)
A341: (x(A340)^(2) + c, 0)
A342: (x(A341)^(2) + c, 0)
A343: (x(A342)^(2) + c, 0)
A344: (x(A343)^(2) + c, 0)
A345: (x(A344)^(2) + c, 0)
A346: (x(A345)^(2) + c, 0)
A347: (x(A346)^(2) + c, 0)
A348: (x(A347)^(2) + c, 0)
A349: (x(A348)^(2) + c, 0)
A350: (x(A349)^(2) + c, 0)
A351: (x(A350)^(2) + c, 0)
A352: (x(A351)^(2) + c, 0)
A353: (x(A352)^(2) + c, 0)
A354: (x(A353)^(2) + c, 0)
A355: (x(A354)^(2) + c, 0)
A356: (x(A355)^(2) + c, 0)
A357: (x(A356)^(2) + c, 0)
A358: (x(A357)^(2) + c, 0)
A359: (x(A358)^(2) + c, 0)
A360: (x(A359)^(2) + c, 0)
A361: (x(A360)^(2) + c, 0)
A362: (x(A361)^(2) + c, 0)
A363: (x(A362)^(2) + c, 0)
A364: (x(A363)^(2) + c, 0)
A365: (x(A364)^(2) + c, 0)
A366: (x(A365)^(2) + c, 0)
A367: (x(A366)^(2) + c, 0)
A368: (x(A367)^(2) + c, 0)
A369: (x(A368)^(2) + c, 0)
A370: (x(A369)^(2) + c, 0)
A371: (x(A370)^(2) + c, 0)
A372: (x(A371)^(2) + c, 0)
A373: (x(A372)^(2) + c, 0)
A374: (x(A373)^(2) + c, 0)
A375: (x(A374)^(2) + c, 0)
A376: (x(A375)^(2) + c, 0)
A377: (x(A376)^(2) + c, 0)
A378: (x(A377)^(2) + c, 0)
A379: (x(A378)^(2) + c, 0)
A380: (x(A379)^(2) + c, 0)
A381: (x(A380)^(2) + c, 0)
A382: (x(A381)^(2) + c, 0)
A383: (x(A382)^(2) + c, 0)
A384: (x(A383)^(2) + c, 0)
A385: (x(A384)^(2) + c, 0)
A386: (x(A385)^(2) + c, 0)
A387: (x(A386)^(2) + c, 0)
A388: (x(A387)^(2) + c, 0)
A389: (x(A388)^(2) + c, 0)
A390: (x(A389)^(2) + c, 0)
A391: (x(A390)^(2) + c, 0)
A392: (x(A391)^(2) + c, 0)
A393: (x(A392)^(2) + c, 0)
A394: (x(A393)^(2) + c, 0)
A395: (x(A394)^(2) + c, 0)
A396: (x(A395)^(2) + c, 0)
A397: (x(A396)^(2) + c, 0)
A398: (x(A397)^(2) + c, 0)
A399: (x(A398)^(2) + c, 0)
A400: (x(A399)^(2) + c, 0)
zE1 = (-2.208500455754343, -1.303101075977962)
zE4: (x(zE1), 1.200416590868176)
zE2: (0.69951569874816, y(zE1))
verLimite = true
verIteraciones = true
verTrazado = true
nada = 0.6 (slider from 0 to 1, step 0.1)
animaPasos = false
K1 = Circle((0, 0), E1)
K2 = Circle((0, 0), E2)
K3 = Circle((0, 0), E3)
K4 = Circle((0, 0), E4)
K5 = Circle((0, 0), E5)
K6 = Circle((0, 0), E6)
K7 = Circle((0, 0), E7)
K8 = Circle((0, 0), E8)
K9 = Circle((0, 0), E9)
K10 = Circle((0, 0), E10)
u = Vector((0, 0), E1)
f2(x) = f1(x)^(2) + x
f3(x) = f2(x)^(2) + x
iteraciones: A1:A400
Rf3a_1, Rf3b, Rf3c, Rf3a = Root(f3)
trazado = Sequence(Semicircle[Element[iteraciones, s], Element[iteraciones, s + 1]], s, 1, 398)
recorrido: {H1, J1, H2, J2, H3, J3, H4, J4, H5, J5, H6, J6, H7, J7, H8, J8, H9, J9, H10, J10}
CCC = Point(recorrido)
param = PathParameter(CCC)
L1 = Circle((0, 0), G1)
L2 = Circle((0, 0), G2)
L3 = Circle((0, 0), G3)
L4 = Circle((0, 0), G4)
L5 = Circle((0, 0), G5)
L6 = Circle((0, 0), G6)
L7 = Circle((0, 0), G7)
L8 = Circle((0, 0), G8)
L9 = Circle((0, 0), G9)
L10 = Circle((0, 0), G10)
B400: A400
Rf2a, Rf2b = Root(f2)
verF1 = false
verF2 = false
verF3 = false
Rf1a, Rf1b = Root(f1)
f4(x) = f3(x)^(2) + x
verF4 = false
Rf4a, Rf4b, Rf4c, Rf4d = Root(f4)
texto5: "c = " + (LaTeX[round((1000 * c)) / 1000]) + ""