Il existe 6 périodes de 38 chiffres pour n/229 en base 4.

Pour toutes les fractions de n/229 en base 4, la période de 1/229 revient alors 38 fois (en orange)

1/229=0,00010132023233032303332320131010030103...

2/229=0,00020330113132131213331300322020120212...

3/229=0,00031122203031230123330221113030210321...

4/229=0,00101320232330323033323201310100301030...

5/229=0,00112112322230022003322122101110331133...

6/229=0,00122311012123120313321102232121021302...

7/229=0,00133103102022213223320023023131112011...

8/229=0,00203301131321312133313003220201202120...

9/229=0,00220033221221011103311330011211232223...

10/229=0,00230231311120110013310310202221322332...

11/229=0,00301030001013202323303230333232013101...

12/229=0,00311222030312301233302211130302103210...

13/229=0,00322020120212000203301131321312133313...

14/229=0,00332212210111033113300112112322230022...

15/229=0,01003010300010132023233032303332320131...

16/229=0,01013202323303230333232013101003010300...

17/229=0,01030001013202323303230333232013101003...

18/229=0,01100133103102022213223320023023131112...

19/229=0,01110331133001121123222300220033221221...

20/229=0,01121123222300220033221221011103311330...

21/229=0,01131321312133313003220201202120002033...

22/229=0,01202120002033011313213121333130032202...

23/229=0,01212312031332110223212102130200122311...

24/229=0,01223110121231203133211022321210213020...

25/229=0,01233302211130302103210003112220303123...

26/229=0,01310100301030001013202323303230333232...

27/229=0,01320232330323033323201310100301030001...

28/229=0,01331031020222132233200230231311120110...

29/229=0,02001223110121231203133211022321210213...

30/229=0,02012021200020330113132131213331300322...

31/229=0,02022213223320023023131112011001331031...

32/229=0,02033011313213121333130032202012021200...

33/229=0,02103210003112220303123012333022111303...

34/229=0,02120002033011313213121333130032202012...

35/229=0,02130200122311012123120313321102232121...

36/229=0,02200332212210111033113300112112322230...

37/229=0,02211130302103210003112220303123012333...

38/229=0,02221322332002302313111201100133103102...

39/229=0,02232121021302001223110121231203133211...

40/229=0,02302313111201100133103102022213223320...

41/229=0,02313111201100133103102022213223320023...

42/229=0,02323303230333232013101003010300010132...

43/229=0,03000101320232330323033323201310100301...

44/229=0,03010300010132023233032303332320131010...

45/229=0,03021032100031122203031230123330221113...

46/229=0,03031230123330221113030210321000311222...

47/229=0,03102022213223320023023131112011001331...

48/229=0,03112220303123012333022111303021032100...

49/229=0,03123012333022111303021032100031122203...

50/229=0,03133211022321210213020012231101212312...

51/229=0,03210003112220303123012333022111303021...

52/229=0,03220201202120002033011313213121333130...

53/229=0,03230333232013101003010300010132023233...

54/229=0,03301131321312133313003220201202120002...

55/229=0,03311330011211232223002200332212210111...

56/229=0,03322122101110331133001121123222300220...

57/229=0,03332320131010030103000101320232330323...

58/229=0,10003112220303123012333022111303021032...

59/229=0,10013310310202221322332002302313111201...

60/229=0,10030103000101320232330323033323201310...

61/229=0,10100301030001013202323303230333232013...

62/229=0,10111033113300112112322230022003322122...

63/229=0,10121231203133211022321210213020012231...

64/229=0,10132023233032303332320131010030103000...

65/229=0,10202221322332002302313111201100133103...

66/229=0,10213020012231101212312031332110223212...

67/229=0,10223212102130200122311012123120313321...

68/229=0,10300010132023233032303332320131010030...

69/229=0,10310202221322332002302313111201100133...

70/229=0,10321000311222030312301233302211130302...

71/229=0,10331133001121123222300220033221221011...

72/229=0,11001331031020222132233200230231311120...

73/229=0,11012123120313321102232121021302001223...

74/229=0,11022321210213020012231101212312031332...

75/229=0,11033113300112112322230022003322122101...

76/229=0,11103311330011211232223002200332212210...

77/229=0,11120110013310310202221322332002302313...

78/229=0,11130302103210003112220303123012333022...

79/229=0,11201100133103102022213223320023023131...

80/229=0,11211232223002200332212210111033113300...

81/229=0,11222030312301233302211130302103210003...

82/229=0,11232223002200332212210111033113300112...

83/229=0,11303021032100031122203031230123330221...

84/229=0,11313213121333130032202012021200020330...

85/229=0,11330011211232223002200332212210111033...

86/229=0,12000203301131321312133313003220201202...

87/229=0,12011001331031020222132233200230231311...

88/229=0,12021200020330113132131213331300322020...

89/229=0,12031332110223212102130200122311012123...

90/229=0,12102130200122311012123120313321102232...

91/229=0,12112322230022003322122101110331133001...

92/229=0,12123120313321102232121021302001223110...

93/229=0,12133313003220201202120002033011313213...

94/229=0,12210111033113300112112322230022003322...

95/229=0,12220303123012333022111303021032100031...

96/229=0,12231101212312031332110223212102130200...

97/229=0,12301233302211130302103210003112220303...

98/229=0,12312031332110223212102130200122311012...

99/229=0,12322230022003322122101110331133001121...

100/229=0,12333022111303021032100031122203031230...

101/229=0,13003220201202120002033011313213121333...

102/229=0,13020012231101212312031332110223212102...

103/229=0,13030210321000311222030312301233302211...

104/229=0,13101003010300010132023233032303332320...

105/229=0,13111201100133103102022213223320023023...

106/229=0,13121333130032202012021200020330113132...

107/229=0,13132131213331300322020120212000203301...

108/229=0,13202323303230333232013101003010300010...

109/229=0,13213121333130032202012021200020330113...

110/229=0,13223320023023131112011001331031020222...

111/229=0,13300112112322230022003322122101110331...

112/229=0,13310310202221322332002302313111201100...

113/229=0,13321102232121021302001223110121231203...

114/229=0,13331300322020120212000203301131321312...

115/229=0,20002033011313213121333130032202012021...

116/229=0,20012231101212312031332110223212102130...

117/229=0,20023023131112011001331031020222132233...

118/229=0,20033221221011103311330011211232223002...

119/229=0,20110013310310202221322332002302313111...

120/229=0,20120212000203301131321312133313003220...

121/229=0,20131010030103000101320232330323033323...

122/229=0,20201202120002033011313213121333130032...

123/229=0,20212000203301131321312133313003220201...

124/229=0,20222132233200230231311120110013310310...

125/229=0,20232330323033323201310100301030001013...

126/229=0,20303123012333022111303021032100031122...

127/229=0,20313321102232121021302001223110121231...

128/229=0,20330113132131213331300322020120212000...

129/229=0,21000311222030312301233302211130302103...

130/229=0,21011103311330011211232223002200332212...

131/229=0,21021302001223110121231203133211022321...

132/229=0,21032100031122203031230123330221113030...

133/229=0,21102232121021302001223110121231203133...

134/229=0,21113030210321000311222030312301233302...

135/229=0,21123222300220033221221011103311330011...

136/229=0,21200020330113132131213331300322020120...

137/229=0,21210213020012231101212312031332110223...

138/229=0,21221011103311330011211232223002200332...

139/229=0,21231203133211022321210213020012231101...

140/229=0,21302001223110121231203133211022321210...

141/229=0,21312133313003220201202120002033011313...

142/229=0,21322332002302313111201100133103102022...

143/229=0,21333130032202012021200020330113132131...

144/229=0,22003322122101110331133001121123222300...

145/229=0,22020120212000203301131321312133313003...

146/229=0,22030312301233302211130302103210003112...

147/229=0,22101110331133001121123222300220033221...

148/229=0,22111303021032100031122203031230123330...

149/229=0,22122101110331133001121123222300220033...

150/229=0,22132233200230231311120110013310310202...

151/229=0,22203031230123330221113030210321000311...

152/229=0,22213223320023023131112011001331031020...

153/229=0,22230022003322122101110331133001121123...

154/229=0,22300220033221221011103311330011211232...

155/229=0,22311012123120313321102232121021302001...

156/229=0,22321210213020012231101212312031332110...

157/229=0,22332002302313111201100133103102022213...

158/229=0,23002200332212210111033113300112112322...

159/229=0,23012333022111303021032100031122203031...

160/229=0,23023131112011001331031020222132233200...

161/229=0,23033323201310100301030001013202323303...

162/229=0,23110121231203133211022321210213020012...

163/229=0,23120313321102232121021302001223110121...

164/229=0,23131112011001331031020222132233200230...

165/229=0,23201310100301030001013202323303230333...

166/229=0,23212102130200122311012123120313321102...

167/229=0,23222300220033221221011103311330011211...

168/229=0,23233032303332320131010030103000101320...

169/229=0,23303230333232013101003010300010132023...

170/229=0,23320023023131112011001331031020222132...

171/229=0,23330221113030210321000311222030312301...

172/229=0,30001013202323303230333232013101003010...

173/229=0,30011211232223002200332212210111033113...

174/229=0,30022003322122101110331133001121123222...

175/229=0,30032202012021200020330113132131213331...

176/229=0,30103000101320232330323033323201310100...

177/229=0,30113132131213331300322020120212000203...

178/229=0,30123330221113030210321000311222030312...

179/229=0,30200122311012123120313321102232121021...

180/229=0,30210321000311222030312301233302211130...

181/229=0,30221113030210321000311222030312301233...

182/229=0,30231311120110013310310202221322332002...

183/229=0,30302103210003112220303123012333022111...

184/229=0,30312301233302211130302103210003112220...

185/229=0,30323033323201310100301030001013202323...

186/229=0,30333232013101003010300010132023233032...

187/229=0,31010030103000101320232330323033323201...

188/229=0,31020222132233200230231311120110013310...

189/229=0,31031020222132233200230231311120110013...

190/229=0,31101212312031332110223212102130200122...

191/229=0,31112011001331031020222132233200230231...

192/229=0,31122203031230123330221113030210321000...

193/229=0,31133001121123222300220033221221011103...

194/229=0,31203133211022321210213020012231101212...

195/229=0,31213331300322020120212000203301131321...

196/229=0,31230123330221113030210321000311222030...

197/229=0,31300322020120212000203301131321312133...

198/229=0,31311120110013310310202221322332002302...

199/229=0,31321312133313003220201202120002033011...

200/229=0,31332110223212102130200122311012123120...

201/229=0,32002302313111201100133103102022213223...

202/229=0,32013101003010300010132023233032303332...

203/229=0,32023233032303332320131010030103000101...

204/229=0,32100031122203031230123330221113030210...

205/229=0,32110223212102130200122311012123120313...

206/229=0,32121021302001223110121231203133211022...

207/229=0,32131213331300322020120212000203301131...

208/229=0,32202012021200020330113132131213331300...

209/229=0,32212210111033113300112112322230022003...

210/229=0,32223002200332212210111033113300112112...

211/229=0,32233200230231311120110013310310202221...

212/229=0,32303332320131010030103000101320232330...

213/229=0,32320131010030103000101320232330323033...

214/229=0,32330323033323201310100301030001013202...

215/229=0,33001121123222300220033221221011103311...

216/229=0,33011313213121333130032202012021200020...

217/229=0,33022111303021032100031122203031230123...

218/229=0,33032303332320131010030103000101320232...

219/229=0,33103102022213223320023023131112011001...

220/229=0,33113300112112322230022003322122101110...

221/229=0,33130032202012021200020330113132131213...

222/229=0,33200230231311120110013310310202221322...

223/229=0,33211022321210213020012231101212312031...

224/229=0,33221221011103311330011211232223002200...

225/229=0,33232013101003010300010132023233032303...

226/229=0,33302211130302103210003112220303123012...

227/229=0,33313003220201202120002033011313213121...

228/229=0,33323201310100301030001013202323303230...

On remarque que le produit du nombre de périodes (6) et de leurs longueurs (38) est égal à 228 et donc au premier -1.