Grasshopper

algorithmic modeling for Rhino

The mysterious Shear transformation

Well friends,

Here's 3 examples related with that mysterious shear thingy (play the "point-to-point" wmv attached).

The first is a point to point shear.

The second is like the first but a bit more complex. Includes a challenge as well.

The third works via the classic shear transformation 4*4 Matrix. Also includes a challenge.

PS: Prizes for the brave winners are the usual:

He, he

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Permalink Reply by peter fotiadis on July 15, 2015 at 12:27am

Some stuff (terms) corrected, some explanations added, some notes written > no confusion any more (ALWAYS having in mind this weird Rhino habit for deploying the Mxy values ... the other way round:  for compatibility with other apps (when coding) and/or using trans formulas from numerous papers etc etc ... use ALWAYS transpose).

PS: This IS the orthodox way for deploying Mxy values when coding (shown: a classic perspective transformation + global scaling):

Also see: http://www.grasshopper3d.com/forum/topics/the-ultra-mysterious-pers...

best, Lord of SardineLand

Permalink Reply by peter fotiadis on July 15, 2015 at 12:42am

BTW: From the "The ultra mysterious perspective ... blah blah": This is why the term taper is highly unfortunate (and wrong):

Permalink Reply by peter fotiadis on July 15, 2015 at 5:05am

Oops ... wrong attachment (and captured image):

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