Shear transformation: Difference between revisions

Revision as of 07:15, 31 May 2021

Shear transformation

[math]\displaystyle{ \varphi: {\cal A}(\mathbb{R}^2) \to {\cal A}(\mathbb{R}^2), \; x \mapsto \begin{pmatrix}1 & 1 \\ 0& 1\end{pmatrix} }[/math]

Points of the form [math]\displaystyle{ {x\choose \lambda} }[/math] are mapped to:

[math]\displaystyle{ \varphi({x\choose \lambda}) = {x + \lambda\choose} }[/math]

@@ Line 23: / Line 23: @@
      ], {name: '&phi;(q)'});
-//var g0 = board.create('glider', [0, 2, y]);
+var qx = board.create('point', [
+        () => 0,
+        () => q.Y()
+    ], {visible: false});
+var s1 = board.create('segment', [q, q1], {dash:2});
+var s2 = board.create('segment', [qx, q], {dash:2});