Rewrite symmetric groups

2025-09-24 21:58:18 -07:00
parent 81d6518553
commit 69d835a2d2
11 changed files with 1493 additions and 1121 deletions
--- a/src/Advanced/Symmetric
+++ b/src/Advanced/Symmetric
@ -0,0 +1,134 @@
+#import "@local/handout:0.1.0": *
+#import "@preview/cetz:0.4.2"
+
+#let markline(s, from, to, c: oblue) = {
+  import cetz.draw: *
+  let del = 0.4 // small line
+
+  let arrow = (
+    symbol: ")>",
+    scale: s * 2.2,
+    fill: c,
+    stroke: c,
+  )
+
+  line(
+    from + ".south",
+    (v => cetz.vector.add(v, (0, -del * s)), from + ".south"),
+    (v => cetz.vector.add(v, (0, (del + 0.4) * s)), to + ".north"),
+    (v => cetz.vector.add(v, (0, 0.4 * s)), to + ".north"),
+    stroke: c + s * 1mm,
+  )
+  mark(
+    to + ".north",
+    270deg,
+    ..arrow,
+  )
+}
+
+
+#let marklinetop(s, from, to, del: 0.8, c: oblue) = {
+  import cetz.draw: *
+
+  let arrow = (
+    symbol: ")>",
+    scale: s * 2.2,
+    fill: c,
+    stroke: c,
+  )
+
+  line(
+    from + ".north",
+    (v => cetz.vector.add(v, (0, del * s)), from + ".north"),
+    (v => cetz.vector.add(v, (0, del * s)), to + ".north"),
+    (v => cetz.vector.add(v, (0, 0.2 * s)), to + ".north"),
+    stroke: c + s * 1mm,
+  )
+  mark(
+    to + ".north",
+    270deg,
+    ..arrow,
+  )
+}
+
+
+
+#let marklinebot(s, from, to, del: 0.8, c: oblue) = {
+  import cetz.draw: *
+
+  let arrow = (
+    symbol: ")>",
+    scale: s * 2.2,
+    fill: c,
+    stroke: c,
+  )
+
+  line(
+    from + ".south",
+    (v => cetz.vector.add(v, (0, -del * s)), from + ".south"),
+    (v => cetz.vector.add(v, (0, -del * s)), to + ".south"),
+    (v => cetz.vector.add(v, (0, -0.4 * s)), to + ".south"),
+    stroke: c + s * 1mm,
+  )
+  mark(
+    to + ".south",
+    90deg,
+    ..arrow,
+  )
+}
+
+
+
+#let marklinebotswap(s, from, to, del: 0.8, c: oblue) = {
+  import cetz.draw: *
+
+  let arrow = (
+    symbol: ")>",
+    scale: s * 2.2,
+    fill: c,
+    stroke: c,
+  )
+
+  line(
+    from + ".south",
+    (v => cetz.vector.add(v, (0, -del * s)), from + ".south"),
+    (v => cetz.vector.add(v, (0.5 * s, -del * s)), to + ".south"),
+    (v => cetz.vector.add(v, (0.5 * s, -del * s)), to + ".south"),
+    (v => cetz.vector.add(v, (0.5 * s, del * s)), to + ".north"),
+    (v => cetz.vector.add(v, (0, del * s)), to + ".north"),
+    (v => cetz.vector.add(v, (0, 0.2 * s)), to + ".north"),
+    stroke: c + s * 1mm,
+  )
+  mark(
+    to + ".north",
+    270deg,
+    ..arrow,
+  )
+}
+
+#let marklinetopswap(s, from, to, del: 0.8, c: oblue) = {
+  import cetz.draw: *
+
+  let arrow = (
+    symbol: ")>",
+    scale: s * 2.2,
+    fill: c,
+    stroke: c,
+  )
+
+  line(
+    from + ".north",
+    (v => cetz.vector.add(v, (0, del * s)), from + ".north"),
+    (v => cetz.vector.add(v, (0.5 * s, del * s)), to + ".north"),
+    (v => cetz.vector.add(v, (0.5 * s, del * s)), to + ".north"),
+    (v => cetz.vector.add(v, (0.5 * s, -del * s)), to + ".south"),
+    (v => cetz.vector.add(v, (0, -del * s)), to + ".south"),
+    (v => cetz.vector.add(v, (0, -0.2 * s)), to + ".south"),
+    stroke: c + s * 1mm,
+  )
+  mark(
+    to + ".south",
+    90deg,
+    ..arrow,
+  )
+}