An helix on a 'tridimensional epicycloïdal' pseudo-torus [Une hélice sur un pseudo-tore 'épicycloïdal tridimensionnel'].




See the definition of this helix in the {u,v} plane:




[See the equations of this 'tridimensional epicycloïdal' pseudo-torus]

Here are the values of the parameters used: 
                    KX  = +1
                    TX  = 0
                    EX  = 0
                    ECX = +1
                    ESX = 0
                    OCX = +4
                    OSX = +6
                    PCX = 0
                    PSX = 0

                    KY  = +1
                    TY  = 0
                    EY  = 0
                    ECY = +1
                    ESY = +1
                    OCY = +4
                    OSY = +6
                    PCY = 0
                    PSY = 0

                    KZ  = +1
                    TZ  = 0
                    EZ  = 0
                    ECZ = 0
                    ESZ = +1
                    OCZ = +8
                    OSZ = +8
                    PCZ = 0
                    PSZ = 0


See a related picture:




(CMAP28 WWW site: this page was created on 03/10/2017 and last updated on 03/12/2017 10:10:14 -CET-)



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Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2017.