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Justin Lin
2021-08-11 17:38:42 +08:00
parent 505e384343
commit 428af98b5d
1 changed files with 13 additions and 13 deletions
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26
src/experimental/tile_penrose3.scad
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@@ -10,7 +10,7 @@ function _subdivide(triangles) =
b = tri[2], b = tri[2],
c = tri[3] c = tri[3]
) )
each (type ? _sub_obtuse(a, b, c) : _sub_acute(a, b, c)) each (type == "obtuse" ? _sub_obtuse(a, b, c) : _sub_acute(a, b, c))
]; ];
function _sub_acute(a, b, c) = function _sub_acute(a, b, c) =
@@ -18,7 +18,7 @@ function _sub_acute(a, b, c) =
PHI = 1.618033988749895, PHI = 1.618033988749895,
p = a + (b - a) / PHI p = a + (b - a) / PHI
) )
[[false, c, p, b], [true, p, c, a]]; [["acute", c, p, b], ["obtuse", p, c, a]];
function _sub_obtuse(a, b, c) = function _sub_obtuse(a, b, c) =
let( let(
@@ -26,7 +26,7 @@ function _sub_obtuse(a, b, c) =
q = b + (a - b) / PHI, q = b + (a - b) / PHI,
r = b + (c - b) / PHI r = b + (c - b) / PHI
) )
[[true, r, c, a], [true, q, r, b], [false, r, q, a]]; [["obtuse", r, c, a], ["obtuse", q, r, b], ["acute", r, q, a]];
function _penrose3(triangles, n, i = 0) = function _penrose3(triangles, n, i = 0) =
i == n ? triangles : i == n ? triangles :
@@ -40,35 +40,35 @@ function tile_penrose3(n) =
_penrose3([ _penrose3([
for(i = [0:$fn - 1]) for(i = [0:$fn - 1])
let(t = [for(p = shape_tri0) ptf_rotate(p, i * acute)]) let(t = [for(p = shape_tri0) ptf_rotate(p, i * acute)])
i % 2 == 0 ? [false, t[0], t[1], t[2]] : [false, t[0], t[2], t[1]] i % 2 == 0 ? ["acute", t[0], t[1], t[2]] : ["acute", t[0], t[2], t[1]]
], n); ], n);
module draw(tris) { module draw(tris) {
for(t = tris) { for(t = tris) {
color(t[0] ? "white" : "black") color(t[0] == "obtuse" ? "white" : "black")
linear_extrude(.5) linear_extrude(.5)
polygon([t[2], t[1], t[3]]); polygon([t[2], t[1], t[3]] * radius);
linear_extrude(1) linear_extrude(1)
hull_polyline2d([t[2], t[1], t[3]], .1); hull_polyline2d([t[2], t[1], t[3]] * radius, .1);
} }
} }
radius = 10; radius = 10;
$fn = 12; $fn = 12;
draw(tile_penrose3(0) * radius); draw(tile_penrose3(0));
translate([30, 0]) translate([30, 0])
draw(tile_penrose3(1) * radius); draw(tile_penrose3(1));
translate([60, 0]) translate([60, 0])
draw(tile_penrose3(2) * radius); draw(tile_penrose3(2));
translate([0, -30]) translate([0, -30])
draw(tile_penrose3(3) * radius); draw(tile_penrose3(3));
translate([30, -30]) translate([30, -30])
draw(tile_penrose3(4) * radius); draw(tile_penrose3(4));
translate([60, -30]) translate([60, -30])
draw(tile_penrose3(5) * radius); draw(tile_penrose3(5));