List of Tables
Table 1. Global Enamelled Flat Copper Wire Market Value by Type (US$ Million), 2025 vs 2032
Table 2. Global Enamelled Flat Copper Wire Market Value by Application (US$ Million), 2025 vs 2032
Table 3. Global Enamelled Flat Copper Wire Production Capacity (Tons) by Manufacturers in 2025
Table 4. Global Enamelled Flat Copper Wire Production by Manufacturers (Tons), 2021–2026
Table 5. Global Enamelled Flat Copper Wire Production Market Share by Manufacturers (2021–2026)
Table 6. Global Enamelled Flat Copper Wire Production Value by Manufacturers (US$ Million), 2021–2026
Table 7. Global Enamelled Flat Copper Wire Production Value Share by Manufacturers (2021–2026)
Table 8. Global Key Players of Enamelled Flat Copper Wire, Industry Ranking, 2024 vs 2025
Table 9. Classification of Companies by Tier (Tier 1, Tier 2, Tier 3), based on Enamelled Flat Copper Wire Production Value, 2025
Table 10. Global Market Enamelled Flat Copper Wire Average Price by Manufacturers (US$/Ton), 2021–2026
Table 11. Global Key Manufacturers of Enamelled Flat Copper Wire, Manufacturing Footprints and Headquarters
Table 12. Global Key Manufacturers of Enamelled Flat Copper Wire, Product Offerings and Applications
Table 13. Global Key Manufacturers of Enamelled Flat Copper Wire, Date of Entry into the Industry
Table 14. Global Enamelled Flat Copper Wire Manufacturers Market Concentration Ratio (CR5 and HHI)
Table 15. Mergers & Acquisitions and Expansion Plans
Table 16. Global Enamelled Flat Copper Wire Production Value by Region: 2021 vs 2025 vs 2032 (US$ Million)
Table 17. Global Enamelled Flat Copper Wire Production Value (US$ Million) by Region (2021–2026)
Table 18. Global Enamelled Flat Copper Wire Production Value Market Share by Region (2021–2026)
Table 19. Global Enamelled Flat Copper Wire Production Value (US$ Million) Forecast by Region (2027–2032)
Table 20. Global Enamelled Flat Copper Wire Production Value Market Share Forecast by Region (2027–2032)
Table 21. Global Enamelled Flat Copper Wire Production Comparison by Region: 2021 vs 2025 vs 2032 (Tons)
Table 22. Global Enamelled Flat Copper Wire Production (Tons) by Region (2021–2026)
Table 23. Global Enamelled Flat Copper Wire Production Market Share by Region (2021–2026)
Table 24. Global Enamelled Flat Copper Wire Production (Tons) Forecast by Region (2027–2032)
Table 25. Global Enamelled Flat Copper Wire Production Market Share Forecast by Region (2027–2032)
Table 26. Global Enamelled Flat Copper Wire Market Average Price (US$/Ton) by Region (2021–2026)
Table 27. Global Enamelled Flat Copper Wire Market Average Price (US$/Ton) by Region (2027–2032)
Table 28. Global Enamelled Flat Copper Wire Consumption Growth Rate by Region: 2021 vs 2025 vs 2032 (Tons)
Table 29. Global Enamelled Flat Copper Wire Consumption by Region (Tons), 2021–2026
Table 30. Global Enamelled Flat Copper Wire Consumption Market Share by Region (2021–2026)
Table 31. Global Enamelled Flat Copper Wire Forecasted Consumption by Region (Tons), 2027–2032
Table 32. Global Enamelled Flat Copper Wire Forecasted Consumption Market Share by Region (2027–2032)
Table 33. North America Enamelled Flat Copper Wire Consumption Growth Rate by Country: 2021 vs 2025 vs 2032 (Tons)
Table 34. North America Enamelled Flat Copper Wire Consumption by Country (Tons), 2021–2026
Table 35. North America Enamelled Flat Copper Wire Consumption by Country (Tons), 2027–2032
Table 36. Europe Enamelled Flat Copper Wire Consumption Growth Rate by Country: 2021 vs 2025 vs 2032 (Tons)
Table 37. Europe Enamelled Flat Copper Wire Consumption by Country (Tons), 2021–2026
Table 38. Europe Enamelled Flat Copper Wire Consumption by Country (Tons), 2027–2032
Table 39. Asia Pacific Enamelled Flat Copper Wire Consumption Growth Rate by Region: 2021 vs 2025 vs 2032 (Tons)
Table 40. Asia Pacific Enamelled Flat Copper Wire Consumption by Region (Tons), 2021–2026
Table 41. Asia Pacific Enamelled Flat Copper Wire Consumption by Region (Tons), 2027–2032
Table 42. Latin America, Middle East & Africa Enamelled Flat Copper Wire Consumption Growth Rate by Country: 2021 vs 2025 vs 2032 (Tons)
Table 43. Latin America, Middle East & Africa Enamelled Flat Copper Wire Consumption by Country (Tons), 2021–2026
Table 44. Latin America, Middle East & Africa Enamelled Flat Copper Wire Consumption by Country (Tons), 2027–2032
Table 45. Global Enamelled Flat Copper Wire Production (Tons) by Type (2021–2026)
Table 46. Global Enamelled Flat Copper Wire Production (Tons) by Type (2027–2032)
Table 47. Global Enamelled Flat Copper Wire Production Market Share by Type (2021–2026)
Table 48. Global Enamelled Flat Copper Wire Production Market Share by Type (2027–2032)
Table 49. Global Enamelled Flat Copper Wire Production Value (US$ Million) by Type (2021–2026)
Table 50. Global Enamelled Flat Copper Wire Production Value (US$ Million) by Type (2027–2032)
Table 51. Global Enamelled Flat Copper Wire Production Value Market Share by Type (2021–2026)
Table 52. Global Enamelled Flat Copper Wire Production Value Market Share by Type (2027–2032)
Table 53. Global Enamelled Flat Copper Wire Price (US$/Ton) by Type (2021–2026)
Table 54. Global Enamelled Flat Copper Wire Price (US$/Ton) by Type (2027–2032)
Table 55. Global Enamelled Flat Copper Wire Production (Tons) by Application (2021–2026)
Table 56. Global Enamelled Flat Copper Wire Production (Tons) by Application (2027–2032)
Table 57. Global Enamelled Flat Copper Wire Production Market Share by Application (2021–2026)
Table 58. Global Enamelled Flat Copper Wire Production Market Share by Application (2027–2032)
Table 59. Global Enamelled Flat Copper Wire Production Value (US$ Million) by Application (2021–2026)
Table 60. Global Enamelled Flat Copper Wire Production Value (US$ Million) by Application (2027–2032)
Table 61. Global Enamelled Flat Copper Wire Production Value Market Share by Application (2021–2026)
Table 62. Global Enamelled Flat Copper Wire Production Value Market Share by Application (2027–2032)
Table 63. Global Enamelled Flat Copper Wire Price (US$/Ton) by Application (2021–2026)
Table 64. Global Enamelled Flat Copper Wire Price (US$/Ton) by Application (2027–2032)
Table 65. Bruker-Spaleck Enamelled Flat Copper Wire Company Information
Table 66. Bruker-Spaleck Enamelled Flat Copper Wire Specification and Application
Table 67. Bruker-Spaleck Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 68. Bruker-Spaleck Main Business and Markets Served
Table 69. Bruker-Spaleck Recent Developments/Updates
Table 70. CWI Enamelled Flat Copper Wire Company Information
Table 71. CWI Enamelled Flat Copper Wire Specification and Application
Table 72. CWI Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 73. CWI Main Business and Markets Served
Table 74. CWI Recent Developments/Updates
Table 75. Ulbrich Enamelled Flat Copper Wire Company Information
Table 76. Ulbrich Enamelled Flat Copper Wire Specification and Application
Table 77. Ulbrich Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 78. Ulbrich Main Business and Markets Served
Table 79. Ulbrich Recent Developments/Updates
Table 80. Accurate Wire (Luvata) Enamelled Flat Copper Wire Company Information
Table 81. Accurate Wire (Luvata) Enamelled Flat Copper Wire Specification and Application
Table 82. Accurate Wire (Luvata) Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 83. Accurate Wire (Luvata) Main Business and Markets Served
Table 84. Accurate Wire (Luvata) Recent Developments/Updates
Table 85. Radcliff Wire Enamelled Flat Copper Wire Company Information
Table 86. Radcliff Wire Enamelled Flat Copper Wire Specification and Application
Table 87. Radcliff Wire Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 88. Radcliff Wire Main Business and Markets Served
Table 89. Radcliff Wire Recent Developments/Updates
Table 90. Rea Enamelled Flat Copper Wire Company Information
Table 91. Rea Enamelled Flat Copper Wire Specification and Application
Table 92. Rea Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 93. Rea Main Business and Markets Served
Table 94. Rea Recent Developments/Updates
Table 95. Sumitomo Electric Enamelled Flat Copper Wire Company Information
Table 96. Sumitomo Electric Enamelled Flat Copper Wire Specification and Application
Table 97. Sumitomo Electric Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 98. Sumitomo Electric Main Business and Markets Served
Table 99. Sumitomo Electric Recent Developments/Updates
Table 100. SWCC SHOWA Enamelled Flat Copper Wire Company Information
Table 101. SWCC SHOWA Enamelled Flat Copper Wire Specification and Application
Table 102. SWCC SHOWA Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 103. SWCC SHOWA Main Business and Markets Served
Table 104. SWCC SHOWA Recent Developments/Updates
Table 105. Hitachi Metals Enamelled Flat Copper Wire Company Information
Table 106. Hitachi Metals Enamelled Flat Copper Wire Specification and Application
Table 107. Hitachi Metals Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 108. Hitachi Metals Main Business and Markets Served
Table 109. Hitachi Metals Recent Developments/Updates
Table 110. IRCE Enamelled Flat Copper Wire Company Information
Table 111. IRCE Enamelled Flat Copper Wire Specification and Application
Table 112. IRCE Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 113. IRCE Main Business and Markets Served
Table 114. IRCE Recent Developments/Updates
Table 115. Superior Essex Enamelled Flat Copper Wire Company Information
Table 116. Superior Essex Enamelled Flat Copper Wire Specification and Application
Table 117. Superior Essex Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 118. Superior Essex Main Business and Markets Served
Table 119. Superior Essex Recent Developments/Updates
Table 120. Gindre Duchavany Enamelled Flat Copper Wire Company Information
Table 121. Gindre Duchavany Enamelled Flat Copper Wire Specification and Application
Table 122. Gindre Duchavany Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 123. Gindre Duchavany Main Business and Markets Served
Table 124. Gindre Duchavany Recent Developments/Updates
Table 125. Tamra Dhatu Enamelled Flat Copper Wire Company Information
Table 126. Tamra Dhatu Enamelled Flat Copper Wire Specification and Application
Table 127. Tamra Dhatu Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 128. Tamra Dhatu Main Business and Markets Served
Table 129. Tamra Dhatu Recent Developments/Updates
Table 130. Dahrén Group Enamelled Flat Copper Wire Company Information
Table 131. Dahrén Group Enamelled Flat Copper Wire Specification and Application
Table 132. Dahrén Group Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 133. Dahrén Group Main Business and Markets Served
Table 134. Dahrén Group Recent Developments/Updates
Table 135. LEONI Enamelled Flat Copper Wire Company Information
Table 136. LEONI Enamelled Flat Copper Wire Specification and Application
Table 137. LEONI Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 138. LEONI Main Business and Markets Served
Table 139. LEONI Recent Developments/Updates
Table 140. Grandwall Enamelled Flat Copper Wire Company Information
Table 141. Grandwall Enamelled Flat Copper Wire Specification and Application
Table 142. Grandwall Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 143. Grandwall Main Business and Markets Served
Table 144. Grandwall Recent Developments/Updates
Table 145. Shenyang Hongyuan Magnet Wire Enamelled Flat Copper Wire Company Information
Table 146. Shenyang Hongyuan Magnet Wire Enamelled Flat Copper Wire Specification and Application
Table 147. Shenyang Hongyuan Magnet Wire Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 148. Shenyang Hongyuan Magnet Wire Main Business and Markets Served
Table 149. Shenyang Hongyuan Magnet Wire Recent Developments/Updates
Table 150. Gold Cup Electric Apparatus Enamelled Flat Copper Wire Company Information
Table 151. Gold Cup Electric Apparatus Enamelled Flat Copper Wire Specification and Application
Table 152. Gold Cup Electric Apparatus Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 153. Gold Cup Electric Apparatus Main Business and Markets Served
Table 154. Gold Cup Electric Apparatus Recent Developments/Updates
Table 155. Jingda Special Magnet Wire Enamelled Flat Copper Wire Company Information
Table 156. Jingda Special Magnet Wire Enamelled Flat Copper Wire Specification and Application
Table 157. Jingda Special Magnet Wire Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 158. Jingda Special Magnet Wire Main Business and Markets Served
Table 159. Jingda Special Magnet Wire Recent Developments/Updates
Table 160. Jintian Copper Enamelled Flat Copper Wire Company Information
Table 161. Jintian Copper Enamelled Flat Copper Wire Specification and Application
Table 162. Jintian Copper Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 163. Jintian Copper Main Business and Markets Served
Table 164. Jintian Copper Recent Developments/Updates
Table 165. Xinghua Dongya Enamelled Flat Copper Wire Company Information
Table 166. Xinghua Dongya Enamelled Flat Copper Wire Specification and Application
Table 167. Xinghua Dongya Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 168. Xinghua Dongya Main Business and Markets Served
Table 169. Xinghua Dongya Recent Developments/Updates
Table 170. Citychamp Dartong Enamelled Flat Copper Wire Company Information
Table 171. Citychamp Dartong Enamelled Flat Copper Wire Specification and Application
Table 172. Citychamp Dartong Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 173. Citychamp Dartong Main Business and Markets Served
Table 174. Citychamp Dartong Recent Developments/Updates
Table 175. Tongling Nonferrous Metals Enamelled Flat Copper Wire Company Information
Table 176. Tongling Nonferrous Metals Enamelled Flat Copper Wire Specification and Application
Table 177. Tongling Nonferrous Metals Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 178. Tongling Nonferrous Metals Main Business and Markets Served
Table 179. Tongling Nonferrous Metals Recent Developments/Updates
Table 180. Shenmao Magnet Wire Enamelled Flat Copper Wire Company Information
Table 181. Shenmao Magnet Wire Enamelled Flat Copper Wire Specification and Application
Table 182. Shenmao Magnet Wire Enamelled Flat Copper Wire Production (Tons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 183. Shenmao Magnet Wire Main Business and Markets Served
Table 184. Shenmao Magnet Wire Recent Developments/Updates
Table 185. Key Raw Materials Lists
Table 186. Raw Materials Key Suppliers Lists
Table 187. Enamelled Flat Copper Wire Distributors List
Table 188. Enamelled Flat Copper Wire Customers List
Table 189. Enamelled Flat Copper Wire Market Trends
Table 190. Enamelled Flat Copper Wire Market Drivers
Table 191. Enamelled Flat Copper Wire Market Challenges
Table 192. Enamelled Flat Copper Wire Market Restraints
Table 193. Research Programs/Design for This Report
Table 194. Key Data Information from Secondary Sources
Table 195. Key Data Information from Primary Sources
Table 196. Authors List of This Report
List of Figures
Figure 1. Product Picture of Enamelled Flat Copper Wire
Figure 2. Global Enamelled Flat Copper Wire Market Value by Type (US$ Million), 2021–2032
Figure 3. Global Enamelled Flat Copper Wire Market Share by Type: 2025 vs 2032
Figure 4. Flexible Wire Product Picture
Figure 5. Hard Wire Product Picture
Figure 6. Global Enamelled Flat Copper Wire Market Value by Application (US$ Million), 2021–2032
Figure 7. Global Enamelled Flat Copper Wire Market Share by Application: 2025 vs 2032
Figure 8. Motor
Figure 9. Transformer
Figure 10. Other
Figure 11. Global Enamelled Flat Copper Wire Production Value (US$ Million), 2021 vs 2025 vs 2032
Figure 12. Global Enamelled Flat Copper Wire Production Value (US$ Million), 2021–2032
Figure 13. Global Enamelled Flat Copper Wire Production Capacity (Tons), 2021–2032
Figure 14. Global Enamelled Flat Copper Wire Production (Tons), 2021–2032
Figure 15. Global Enamelled Flat Copper Wire Average Price (US$/Ton), 2021–2032
Figure 16. Enamelled Flat Copper Wire Report Years Considered
Figure 17. Enamelled Flat Copper Wire Production Share by Manufacturers in 2025
Figure 18. Global Enamelled Flat Copper Wire Production Value Share by Manufacturers (2025)
Figure 19. Enamelled Flat Copper Wire Market Share by Company Type (Tier 1, Tier 2, and Tier 3): 2021 vs 2025
Figure 20. Top 5 and Top 10 Global Players: Market Share by Enamelled Flat Copper Wire Revenue in 2025
Figure 21. Global Enamelled Flat Copper Wire Production Value by Region: 2021 vs 2025 vs 2032 (US$ Million)
Figure 22. Global Enamelled Flat Copper Wire Production Value Market Share by Region: 2021 vs 2025 vs 2032
Figure 23. Global Enamelled Flat Copper Wire Production Comparison by Region: 2021 vs 2025 vs 2032 (Tons)
Figure 24. Global Enamelled Flat Copper Wire Production Market Share by Region: 2021 vs 2025 vs 2032
Figure 25. North America Enamelled Flat Copper Wire Production Value (US$ Million) Growth Rate (2021–2032)
Figure 26. Europe Enamelled Flat Copper Wire Production Value (US$ Million) Growth Rate (2021–2032)
Figure 27. China Enamelled Flat Copper Wire Production Value (US$ Million) Growth Rate (2021–2032)
Figure 28. Japan Enamelled Flat Copper Wire Production Value (US$ Million) Growth Rate (2021–2032)
Figure 29. Global Enamelled Flat Copper Wire Consumption by Region: 2021 vs 2025 vs 2032 (Tons)
Figure 30. Global Enamelled Flat Copper Wire Consumption Market Share by Region: 2021 vs 2025 vs 2032
Figure 31. North America Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 32. North America Enamelled Flat Copper Wire Consumption Market Share by Country (2021–2032)
Figure 33. U.S. Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 34. Canada Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 35. Europe Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 36. Europe Enamelled Flat Copper Wire Consumption Market Share by Country (2021–2032)
Figure 37. Germany Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 38. France Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 39. U.K. Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 40. Italy Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 41. Russia Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 42. Asia Pacific Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 43. Asia Pacific Enamelled Flat Copper Wire Consumption Market Share by Region (2021–2032)
Figure 44. China Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 45. Japan Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 46. South Korea Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 47. China Taiwan Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 48. Southeast Asia Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 49. India Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 50. Latin America, Middle East & Africa Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 51. Latin America, Middle East & Africa Enamelled Flat Copper Wire Consumption Market Share by Country (2021–2032)
Figure 52. Mexico Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 53. Brazil Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 54. Turkey Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 55. GCC Countries Enamelled Flat Copper Wire Consumption and Growth Rate (Tons), 2021–2032
Figure 56. Global Production Market Share of Enamelled Flat Copper Wire by Type (2021–2032)
Figure 57. Global Production Value Market Share of Enamelled Flat Copper Wire by Type (2021–2032)
Figure 58. Global Enamelled Flat Copper Wire Price (US$/Ton) by Type (2021–2032)
Figure 59. Global Production Market Share of Enamelled Flat Copper Wire by Application (2021–2032)
Figure 60. Global Production Value Market Share of Enamelled Flat Copper Wire by Application (2021–2032)
Figure 61. Global Enamelled Flat Copper Wire Price (US$/Ton) by Application (2021–2032)
Figure 62. Enamelled Flat Copper Wire Value Chain
Figure 63. Channels of Distribution (Direct Vs Distribution)
Figure 64. Bottom-up and Top-down Approaches for This Report
Figure 65. Data Triangulation
