Difference between revisions of "Shear transformation"

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Line 23: Line 23:
 
     ], {name: 'φ(q)'});
 
     ], {name: 'φ(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});
 +
 
  
  

Revision as of 09:15, 31 May 2021

Shear transformation

[math] \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]{x\choose \lambda}[/math] are mapped to:

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


The underlying JavaScript code