The　spinor　Bose-Einstein　condensate　(BEC)　provides　an　ideal　platform　for　observing　and　manipulating　topological　structures,　which　arise　from　the　spin　degrees　of　freedom　and　the　superfluid　nature　of　the　gas.　Artificial　helicoidal　spin-orbit　coupling　(SOC)　in　the　spinor　BEC,　owing　to　the　spatially　varying　gauge　potential　and　the　more　flexible　adjustability,　provides　possibly　an　unprecedented　opportunity　to　search　for　novel　quantum　states.　The　previous　studies　of　the　BEC　with　helicoidal　SOC　mainly　focus　on　the　two-component　case.　However,　there　are　few　reports　on　the　studies　of　helicoidal　SOC　in　three-component　BEC.　Especially　considering　one-dimensional　three-component　BEC,　whether　the　helicoidal　SOC　can　generate　previously　unknown　types　of　topological　excitations　and　phase　diagrams　is　still　an　unsolved　problem.　In　this　work,　by　solving　quasi　one-dimensional　Gross-Pitaevskii　equations,　we　study　the　ground　state　structure　of　one-dimensional　helicoidal　spin-orbit　coupled　three-component　BEC.　The　numerical　results　show　that　the　helicoidal　SOC　can　induce　a　phase　separation　among　the　components　in　ferromagnetic　BEC.　Through　numerical　calculations　of　the　system,　a　phase　diagram　is　obtained　as　a　function　of　the　helicoidal　SOC　strength　and　gauge　potential,　which　shows　the　critical　conditions　for　phase　separation　and　phase　miscibility　in　ferromagnetic　BEC.　Meanwhile,　we　also　study　the　influences　of　the　helicoidal　SOC　and　the　gauge　potential　on　the　antiferromagnetic　BEC　ground　state.　The　numerical　results　show　that　the　helicoidal　SOC　is　beneficial　for　the　miscibility　in　antiferromagnetic　BEC.　When　the　helicoidal　SOC　strength　or　gauge　potential　increases,　the　ground　state　of　antiferromagnetic　BEC　exhibits　a　stripe　soliton　structure.　Adjusting　the　strength　of　helicoidal　SOC　or　gauge　potential　can　control　the　transitions　between　a　plane-wave　soliton　and　a　stripe　soliton.　In　addition,　we　show　the　changes　of　the　particle　number　density　maximum　and　the　number　of　peaks　of　stripe　solitons　for　adjusting　the　helicoidal　SOC　strength　or　gauge　potential.　Our　results　show　that　helicoidal　spin-orbit　coupled　BEC　not　only　provides　a　controlled　platform　for　investigating　the　exotic　topological　structures,　but　also　is　crucial　for　the　transitions　between　different　ground　states.　This　work　paves　the　way　for　exploring　the　topological　defect　and　the　corresponding　dynamical　stability　in　quantum　systems　subjected　to　the　helicoidal　SOC　in　future.　©　2025　Chinese　Physical　Society.