Shear transformation: Difference between revisions

Revision as of 07:13, 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 14: / Line 14: @@
 var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [-5, 5, 5, -5], axis: true});
+var x = board.defaultAxes.x;
 var y = board.defaultAxes.y;
-var g0 = board.create('glider', [0, 2, y]);
+var q = board.create('point', [1, 2], {name: 'q'});
+var q1 = board.create('point', [
+        () => q.X() + q.Y(),
+        () => q.Y()
+    ], {name: '&phi;(q)'});
+//var g0 = board.create('glider', [0, 2, y]);