This is a vase I made in OpenScad with a sine wave

Sine Wave Vase.scad

$fn = 16;
curveModifier = 40;
curveModifier2 = 10;
module uncutVase(width,height,curveModifier,curveModifier2){
    for(i=[0:1:height]){
        translate([50,50,i]) cylinder(1,sin(i+curveModifier) * curveModifier2+width/2- curveModifier2,sin(i+1+curveModifier)* curveModifier2+width/2-curveModifier2);
    }
}
module vase(width,height,wallWidth){
    difference(){
        uncutVase(width,height,curveModifier,curveModifier2);
        translate([width/2,width/2,wallWidth]) cylinder(height,width/2-wallWidth*2.5,width/2-wallWidth*2.5);
    }
}
vase(100,250,10);