Shear transformation: Difference between revisions

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     ], {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 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]


The underlying JavaScript code