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Merged
revarbat merged 1 commit into from
May 13, 2026
+140 −141
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Re-framed style examples for vnf_vertex_array() #1985

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281 changes: 140 additions & 141 deletions vnf.scad
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Original file line number Diff line number Diff line change
Expand Up @@ -136,146 +136,6 @@ EMPTY_VNF = [[],[]]; // The standard empty VNF with no vertices or faces.
// "intersect" = Anchors to the surface of the shape.
// Named Anchors:
// "origin" = Anchor at the origin, oriented UP.
// Example(3D): Triangulating using `style="default"`. Triangulates the same direction for every quad.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "default", steps=4);
// Example(3D): Triangulating using `style="alt"`. The opposite triangulation from "default".
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "alt", steps=4);
// Example(3D): Triangulating using `style="flip1"`. Alternates triangulation direction in a grid.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "flip1", steps=4);
// Example(3D): Triangulating using `style="flip2"`. The opposite pattern from "flip1".
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "flip2", steps=4);
// Example(3D,Med): Triangulating using `style="quad"`. Lets OpenSCAD do its own internal triangulation. This may error out on older OpenSCAD versions.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "quad", steps=4);
// Example(3D): Triangulating using `style="quincunx"`. This artificially adds interpolated points, which may or may not be useful.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "quincunx", steps=4);
// Example(3D): Triangulating using `style="convex"`. This is useful for raised hill surfaces.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "convex", steps=4);
// Example(3D): Triangulating using `style="concave"`. This is useful for dished surfaces.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "concave", steps=4);
// Example(3D): Triangulating using `style="min_edge"`. This triangulates in a way that minimizes face edge lengths.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "concave", steps=4);
// Example(3D): Triangulating using `style="min_area"`. This triangulates in a way that minimizes face areas.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "concave", steps=4);
// Example(3D):
// vnf = vnf_vertex_array(
// points=[
Expand Down Expand Up @@ -463,7 +323,146 @@ EMPTY_VNF = [[],[]]; // The standard empty VNF with no vertices or faces.
// for(p=xprofile) translate(p-[0,4,0]) sphere(1.5);
// for(p=yprofile) translate(p-[4,0,0]) sphere(1.5);
// }

// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="default"`. Triangulates the same direction for every quad.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "default", steps=4);
// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="alt"`. The opposite triangulation from "default".
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "alt", steps=4);
// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="flip1"`. Alternates triangulation direction in a grid.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "flip1", steps=4);
// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="flip2"`. The opposite pattern from "flip1".
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "flip2", steps=4);
// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="quad"`. Lets OpenSCAD do its own internal triangulation. This may error out on older OpenSCAD versions.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "quad", steps=4);
// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="quincunx"`. This artificially adds interpolated points, which may or may not be useful.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "quincunx", steps=4);
// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="convex"`. This is useful for raised hill surfaces.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "convex", steps=4);
// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="concave"`. This is useful for dished surfaces.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "concave", steps=4);
// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="min_edge"`. This triangulates in a way that minimizes face edge lengths.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "concave", steps=4);
// Example(3D,VPT=[50,44,-4.5],VPD=400): Triangulating using `style="min_area"`. This triangulates in a way that minimizes face areas.
// module show_triangulation(fn, style, steps) {
// pts = [for(u=[0:100/steps:100]) [for(v=[0:100/steps:100]) fn(u,v)]];
// vnf = vnf_vertex_array(pts, style=style);
// grid_vnf = vnf_vertex_array(pts, style="quad");
// color("#ccf") vnf_polyhedron(vnf);
// color("#0dd") vnf_wireframe(vnf, width=0.4);
// color("black") vnf_wireframe(grid_vnf, width=0.5);
// txt = str("style = ", style);
// move([50,0,-20]) rot($vpr) color("black")
// text(txt, size=5, halign="center", valign="top");
// }
// fn = function(u,v) [u, v, 16*sin(u*1.8)*-cos(v*1.8)];
// show_triangulation(fn, "concave", steps=4);

module vnf_vertex_array(
points,
Expand Down
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