Work in 2025

278. 5600+ Striped Magic Squares of Order 16 (RG)

277. New Concepts in Magic Squares: Cornered Magic Squares of Orders 5 to 108 (RG)

276. Upside-Down, Mirror Looking and Water Reflection Magic Squares: Order 25 (RG)

275. Upside-Down, Mirror Looking and Water Reflection Magic Squares: Order 24 (RG)

274. Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 21 to 23 (RG)

273. Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 17 to 20 (RG)

272. Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 14 to 16 (RG)

271. Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 11 to 13 (RG)

270. Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 7 to 10 (RG)

Work in 2024

269. Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 3 to 6 (RG)

268. Numbers and Magic Squares Representations of Hardy-Ramanujan Number-1729 (RG)

267. Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares (RG)

266. Crazy Representations of Half a Million Natural Numbers: Part 5 – 460.001 to 500.000 (RG)

265. Crazy Representations of Half a Million Natural Numbers: Part 4 – 420.001 to 460.000 (RG)

264. Crazy Representations of Half a Million Natural Numbers: Part 3 – 380.001 to 420.000 (RG)

263. Crazy Representations of Half a Million Natural Numbers: Part 2 – 340.001 to 380.000 (RG)

262. Crazy Representations of Half a Million Natural Numbers: Part 1 – 300.001 to 340.000 (RG)

261. Universal and Upside-down Magic Cubes (RG)

260. Magic Cubes Based on Magic Squares (RG)

259. Striped Magic Squares of Order 12 – Revised (RG)

258. Striped Magic Squares of Order 16 – Revised (RG)

257. Crazy Representations of Natural Numbers From 260001 to 280000 – Revised (RG)

256. Crazy Representations of Natural Numbers From 240001 to 260000 – Revised (RG)

255. Crazy Representations of Natural Numbers From 220001 to 240000 – Revised (RG)

254. Crazy Representations of Natural Numbers From 200001 to 220000 – Revised (RG)

253. Crazy Representations of Natural Numbers From 180001 to 200000 – Revised (RG)

252. Crazy Representations of Natural Numbers From 160001 to 180000 – Revised (RG)

251. Crazy Representations of Natural Numbers From 140001 to 160000 – Revised (RG)

250. Crazy Representations of Natural Numbers From 120001 to 140000 – Revised (RG)

249. Crazy Representations of Natural Numbers From 100001 to 120000 – Revised (RG)

248. Striped Magic Squares of Order 18 (RG)

246. Multiple Representations of Selfie Numbers – II (RG)

245. Multiple Choice Patterns in Selfie Numbers – I (RG)

244. Crazy Representations of Natural Numbers from 0 to 10000 Using Factorial and Square Root (RG)

243. Crazy Representations of Natural Numbers from 0 to 10000 Using Cubic Function (RG)

242. Crazy Representations of Natural Numbers from 0 to 10000 Using Square Function (RG)

241. Fixed Power Representation of Numbers (RG)

240. Unified Study of Narcissistic Numbers without and with Division (RG)

239. Multiple Representations of Selfie Numbers – I (RG)

238. Pyramid-Type Representations of Natural Numbers from 1001 to 10000 (RG)

237. Crazy Representations of Natural Numbers From 280001 to 300000 – Revised (RG)

236. Crazy Representations of Natural Numbers 0 to 10000 Using Triangular Numbers (RG)

235. Crazy Representations of Natural Numbers from 0 to 10000 Using Fibonacci Sequence Values (RG)

Work in 2023

234a. Mathematical Aspects of 24 and 2024 (RG)

234. Mathematical Representations of the Last Day of the Year 23 Written American Style: 12.31.23 (123123) (RG)

233. Different Types of Magic Squares of Order 14 Using Bordered Magic Rectangles (RG)

232. Striped Magic Squares of Even Orders 6, 8, 10, 12 and 14 (RG)

231. Different Types of Magic Squares of Orders 6, 8, 10 and 12 (RG)

230. Cornered Magic Squares in Construction of Magic Squares of Orders 16, 20, 24 and 28 (RG)

229. Different Types of Magic Rectangles in Construction of Magic Squares of Order 34 (RG)

228. Different Types of Magic Rectangles in Construction of Magic Squares of Order 30 (RG)

227. Different Types of Magic Rectangles in Construction of Magic Squares of Order 26 (RG)

226. Different Types of Magic Rectangles in Construction of Magic Squares of Order 22 (RG)

225. Different Types of Magic Rectangles in Construction of Magic Squares of Orders 14 and 18 (RG)

224. Different Types of Magic Rectangles

223. A Simplified Procedure to Construct Pandiagonal Magic Squares Multiples of 4

222. New Concepts in Magic Squares: Cornered Magic Squares of Orders 5 to 81 (RG)

221. New Concepts in Magic Squares: Double Digits Bordered Magic Squares of Orders 7 to 108 (RG)

220. Magic Squares of Order 31 (RG)

219. Magic Squares of Order 29 (RG)

218. Magic Squares of Order 27 (RG)

217. Patterns in Splitted Selfie Fractions (RG)

216. Bordered and Pandiagonal Magic Squares Multiples of 20

215. Bordered Magic Squares Multiples of 18

214. Bordered and Pandiagonal Magic Squares Multiples of 16

213. Bordered Magic Squares Multiples of 14

212. Bordered and Pandiagonal Magic Squares Multiples of 12

211. Block-Wise Bordered Magic Squares Multiples of 10

210. Bordered and Pandiagonal Magic Squares Multiples of 8

209. Bordered Magic Squares Multiples of Order 6

208. Bordered Magic Squares Multiples of 17

207. Bordered Magic Squares Multiples of 19

206. Bordered Magic Squares Multiples of 15

205. Bordered Magic Squares Multiples of 13

204. Bordered Magic Squares Multiples of 11 (RG)

203. Bordered Magic Squares Multiples of 9 (RG)

202. Bordered and Pandiagonal Magic Squares Multiples of 7 (RG)

201. Bordered and Pentagonal Magic Squares Multiples of 5 (RG)

200. Magic Squares of Orders 25 (RG)

199. Magic Squares of Orders 21 and 23 (RG)

198. Magic Squares of Orders 17 and 19 (RG)

197. Odd Order Magic Squares: Orders 3 to 15 (RG)

196. Multiple Order Bordered Magic Squares (RG)

195. Cornered Magic Squares of Orders 14 to 24 (RG)

194. Cornered Magic Squares of Orders 5 to 13 (RG)

193. Cornered Magic Squares of Order 6 (RG)

192. Two Digits Bordered Magic Squares of Orders 34 and 38

191. Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 3 (RG)

190. Two digits Bordered Magic Squares of Orders 36 and 40

189. Two Digits Bordered Magic Squares of Orders 26 and 30

188. Two Digits Bordered Magic Squares of Orders 10, 14, 18 and 22

187. Two Digits Bordered Magic Squares of Orders 28 and 32

186. Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24

185. 8000+ Magic Squares of Order 22 in Different Styles, Models and Designs

184. Closed Double-Crossed Bordered Magic Rectangles and Magic Squares of Order 42

183. Double-cross Bordered Magic Rectangles and Magic Squares of Order 42

182. Single-Cross Bordered Magic Rectangles and Magic Squares of Order 42

181. Magic Squares of Order 42 Using Bordered Magic Rectangles: A Systematic Procedure

180. Double Crossed Bordered Magic Rectangles and Magic Squares of Order 40

179. Single Crossed Bordered Magic Rectangles and Magic Squares of Order 40

178. Figured Magic Squares of Order 40 Using Bordered Magic Rectangles: A Systematic Procedure

177. Figured Magic Squares of Order 38 Using Bordered Magic Rectangles: A Systematic Procedure

Work in 2022

176. Figured Magic Squares of Order 36 Using Bordered Magic Rectangles: A Systematic Procedure

175. Figured Magic Squares of Order 34 Using Bordered Magic Rectangles: A Systematic Procedure

174. 23 and 2023 in Numbers and Patterns (RG)

173. Figured Magic Squares of Order 32 Using Bordered Magic Rectangles: A Systematic Procedure

172. Figured Magic Squares of Order 30 Using Bordered Magic Rectangles: A Systematic Procedure

171. Figured Magic Squares of Order 28 Using Bordered Magic Rectangles: A Systematic Procedure

170. Figured Magic Squares of Order 26 Using Bordered Magic Rectangles: A Systematic Procedure

169. Figured Magic Squares of Order 24 Using Bordered Magic Rectangles: A Systematic Procedure

168. Figured Magic Squares of Order 22 Using Bordered Magic Rectangles: A Systematic Procedure

167. Figured Magic Squares of Orders 18 and 20 Using Bordered Magic Rectangles: A Systematic Procedure

166. Figured Magic Squares of Orders 6, 10, 12, 14 and 16 Using Bordered Magic Rectangles: A Systematic Procedure

165. Different Styles of Magic Squares of Order 20 Using Bordered Magic Rectangles

164. Different Styles of Magic Squares of Order 18 Using Bordered Magic Rectangles

163. Different Styles of Magic Squares of Order 16 Using Bordered Magic Rectangles

162. Few Examples of Magic Squares of Even Orders 20 to 30 Using Bordered Magic Rectangles

161. Few Examples of Magic Squares of Even Orders 6 to 18 Using Bordered Magic Rectangles

160. Magic Rectangles in Construction of Magic and Block Bordered Magic Squares

159. Different Types of Multiple Style Magic Squares of Order 30

158. Different Types of Multiple Style Magic Squares of Order 28

157. Different Types of Multiple Style Magic Squares of Order 32

156. Multiple Style Different Types of Magic Squares of Order 36

155. Different Types of Multiple Style Magic Squares of Order 40

154. Different Types of Magic Squares of Order 32: Part 4

153. Different Types of Magic Squares of Order 32: Part 3

152. Different Types of Magic Squares of Order 32: Part 2

151. Different Types of Magic Squares of Order 32: Part 1

150. Different Types of Magic Squares: Even Number Orders From 10 to 26

149. Single Digit Representations of Natural Numbers From 40001 to 50000

148. Single Digit Representations of Natural Numbers From 30001 to 40000

147. Single Digit Representations of Natural Numbers From 20001 to 30000

146. 100-Magic Squares of Order 42 With Numbers 00-99 (RG)

145. Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531

144. Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202

Work in 2021

143. Block-Wise and Block-Bordered Magic Squares With Magic Sum 2022

142. Mathematical Beauty of 2022 (RG)

141. Crazy Running Equality Expressions With Factorial and Square-Root

140. Crazy Representations of Natural Numbers From 20001 to 40000

139. Crazy Representations of Natural Numbers From 80001 to 100000

138. Crazy Representations of Natural Numbers From 60001 to 80000

137. Crazy Representations of Natural Numbers From 40001 to 60000

136. Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 4

135. Creative Magic Squares: Area Representations With Fraction Numbers Entries

134. Magic Squares With Perfect Square Sum of Entries: Orders 3 to 47

133. Minimum Perfect Square Sum Bordered and Block-Wise Bordered Magic Squares: Orders 32 to 47

132. Minimum Perfect Square Sum Bordered and Block-Wise Bordered Magic Squares: Orders 3 to 31

131. Magic Squares With Perfect Square Sum of Entries: Orders 3 to 31

130. Sequential Pythagorean Triples and Perfect Square Sum Magic Squares

129. Generating Pythagorean Triples and Magic Squares: Orders 3 to 31

128. Block-Wise and Block-Bordered Magic Squares Generated by Pythagorean Triples: Orders 3 to 47

127. Creative Magic Squares: Increasing and Decreasing Orders Crazy Representations

126. Creative Magic Squares: Permutable Base-Power Digits Representations

125. Creative Magic Squares: Single Letter Representations

124. Creative Magic Squares: Single Digit Representations

123. Pandigital-Type and Pythagorean Triples Patterns

122. Patterns in Pythagorean Triples

121. Block-Wise Universal Bimagic and Semi-Bimagic Squares With Digits 1 and 8

120. Odd Order Multiples Universal Magic Squares With 1 and 8

119. Bordered and Block-Wise Bordered Magic Squares: Odd Order Multiples

118. Bordered and Block-Wise Bordered Magic Squares: Even Order Multiples

117. Fixed Digits Repetitions Prime Patterns for 5-Digits Prime Numbers

116. Block-Wise and Block-Bordered Magic and Bimagic Squares of Orders 10 to 47

Work in 2020

115. 21 Mathematical Highlights for 2021

114. Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021

113. Factorial-Type Numerical Calender 2021

112. Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021

111. 3 and 5-Digits Multiple Choice Embedded Palprimes

110. 4-Digits Prime Numbers in Fixed Digits Repetition Prime Patterns

109. Prime Numbers in Fixed Digits Repetitions Prime Patterns

108. Upside-Down Magic Squares of Orders 128, 126 and 120 With Digits 6 and 9

107. Universal Magic Squares of Orders 128, 126 and 120 With Digits 2 and 5

106. Universal Magic Squares of Orders 128, 126 and 120 With Digits 1 and 8

105. Geometrical, Numerical, and Symmetrical Representations for the Days of 2020

104. Block-Bordered Magic Squares of Prime and Double Prime Orders – III

103. Block-Bordered Magic Squares of Prime and Double Prime Numbers – II

102. Block-Bordered Magic Squares of Prime and Double Prime Numbers – I

101. Same Digits Embedded Palprimes of Lengths 3, 5 and 7

100. Patterned Single Digits Representations of Natural Numbers

99. Patterned Single Letter Representations of Natural Numbers

98. Upside-Down Magic Squares of Type 4k, 6k and 12k Using the Digits 6 and 9

97. Universal Magic Squares of Type 4k, 6k and 12k Using the Digits 1 and 8

96. Universal Magic Squares of Type 4k, 6k and 12k Using the Digits 2 and 5

95. Upside-Down Magic and Bimagic Squares of Orders 17 to 32 With Digits 6 and 9

94. Universal Magic and Bimagic Squares of Orders 17 to 32 With Digits 2 and 5

93. Universal Magic and Bimagic Squares of Orders 17 to 32 With Digits 1 and 8

92. Fixed and Flexible Powers Narcissistic Numbers with Division

91. 2-Digits Universal and Upside-Down Palindromic Magic and Bimagic Squares: Orders 3 to 16

90. Factorial-Type Numerical Calendar

89. Pyramid-Type Representations of Natural Numbers

88. Universal Palindromic Day and Two Digits Magic Squares

87. Bordered Magic Squares With Order Square Magic Sums

86. Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2020

85. Same Digits Equality Expressions: Power and Plus

84. 2020 In Numbers: Mathematical Style – Revised

Work in 2019

83. Different Digits Equivalent Fractions: Three Digits Numerator

82. Different Digits Equivalent Fractions: Two Digits Numerator

81. Different Digits Equivalent Fraction: Single Digit Numerator

80. Patterned Selfie Fractions

79. Fibonacci Sequence Type Selfie Numbers with Factorial: Reverse Order of Digits

78. Fibonacci Sequence Type Selfie Numbers with Factorial: Digit’s Order

77. Fibonacci Sequence Type Selfie Numbers With Square-Root

76. Different Digits Selfie Fractions: Five Digits Numerator – Pandigital

75. Different Digits Selfie Fractions: Four Digits Numerator

74. Different Digits Selfie Fractions: Two and Three Digits Numerators

73. Repeated Digits Selfie Fractions: Two and Three Digits Numerators

72. Square-Root Type Selfie Numbers

71. Prime Numbers in Prime Numbers Up To 5 Digits

70. Power-Type Semi-Selfie Numbers and Patterns

69. Selfie Numbers With Binomial Coefficients, Triangular Numbers and Factorial

68. General Sum Symmetric and Positive Entries Nested Magic Squares

67. Symmetric Properties of Nested Magic Squares

66. Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences

65. Block-Wise Constructions of Magic and Bimagic Squares of Orders 8 to 108

64. Selfie Numbers With Binomial Coefficients, Triangular Numbers and Square-Root

63. Perfect Square Sum Magic Squares

62. Fibonacci Sequence Type Selfie Numbers: Basic Operations

61. Binomial Coefficients Triangular Type Selfie Numbers: Basic Operations

60. Triangular-Type Selfie Numbers: Reverse Order of Digits

59. Triangular-Type Selfie Numbers: Digit’s Order

58. Pandigital Equivalent Selfie Fractions

57. Selfie Numbers With Binomial Coefficients and Fibonacci Numbers

56. Selfie Numbers: Basic Operations

55. Different Digits Equivalent Fractions – II

54. Different Digits Equivalent Fractions – I

53. Selfie Fractions: Addable, Subtractable, Dottable and Potentiable

52. Selfie Numbers With Binomial Coefficients

51. Cubic-Type Selfie Numbers

50. Concatenation-Type Selfie Numbers With Factorial and Square-Root

49. Factorial-Type Selfie Numbers in Reverse Order of Digits

48. Factorial-Type Selfie Numbers in Digit’s Order

47. Amicable Numbers With Patterns in Products and Powers

46. Magic Squares Type Palprimes of Orders 5×5, 7×7 and 9×9

45. Quadratic-Type Selfie Numbers

44. Natural Numbers From 1 to 20000 in Terms of Fibonacci Sequence and Triangular Numbers

43. Selfie Expressions With Factorial, Fibonacci and Triangular Values

42. Simultaneous Representations of Selfie Numbers in Terms of Fibonacci and Triangular Numbers

41. Factorial-Power Selfie Expressions

40. Same Digits Equalities Expressions

39. Flexible Powers Narcissistic-Type Numbers

38. Fibonacci Sequence and Selfie Numbers

37. Triangular-Type Selfie Numbers

36. Permutable Powers Selfie Numbers

35. Multiple Choice Power Expressions

34. Patterns in Selfie and Semi-Selfie Numbers

33. Semi-Selfie Numbers

32. Fixed Digits Repetitions Prime Patterns of Length 6

31. Fixed Digits Repetitions Prime Patterns of Length 7

30. Fixed Digits Repetitions Prime Patterns of Lengths 10, 9 and 8

29. Single Letter Patterned Representations and Fibonacci Sequence Values

28. Single Letter Representations of Natural Numbers from 1 to 11111

27. Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111

26. Block-Wise Magic and Bimagic Squares of Orders 39 to 45

25. Palindromic, Patterned Magic Sums, Composite, and Colored Patterns in Magic Squares

24. Block-Wise Magic and Bimagic Squares of Orders 12 to 36

23. Different Digits Magic Squares and Number Patterns

22. Representations of Letters and Numbers With Equal Sums Magic Squares of Orders 4 and 6

21. Block-Wise Unequal Sums Magic Squares

20. Block-Wise Equal Sums Magic Squares of Orders 3k and 6k

19. Magic Crosses: Repeated and Non Repeated Entries

18. Magic Rectangles in Construction of Block-Wise Pandiagonal Magic Squares

17. Permutable Power Minimum Length Representations of Natural Numbers from 0 to 20000

16. Single Digit Representations of Natural Numbers From 15001 to 20000

15. Single Digit Representations of Natural Numbers From 10001 to 15000

14. Generating Pythagorean Triples, Patterns, and Magic Squares

13. Palindromic-Type Pandigital Patterns in Pythagorean Triples

12. Multiple-Type Patterns and Pythagorean Triples

11. Patterns in Pythagorean Triples Using Single and Double Variable Procedures

10. Crazy Representations of Natural Numbers From 11112 to 20000

9. Palindromic-Type Squared Expressions with Palindromic and Non-Palindromic Sums – I

8. Palindromic-Type Non-Palindromes – I

7. Palindromic-Type Palindromes – I

6. All Digits Flexible Power Representations of Natural Numbers From 30001 to 50000

5. All Digits Flexible Power Representations of Natural Numbers From 11112 to 30000

4. Single Digit Representations of Natural Numbers From 5001 to 10000

3. Single Digit Representations of Natural Numbers From 1 to 5000

Work in 2018

2. 2019 In Numbers

1. Running Expressions with Triangular Numbers – I

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