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en:abbildungenimraum [2026/03/03 16:57] – created frankbrenneckeen:abbildungenimraum [2026/03/06 10:38] (current) frankbrennecke
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 {{symbol:icon_AbbildungenImRaum.png?64x64}} {{symbol:icon_AbbildungenImRaum.png?64x64}}
-====== Real space: mappings in space ======+====== Real space: mappings in 3D space ======
 This graphic offers the most comprehensive mapping options in real 3D space. For each of the coordinate axes x, y and z, a separate mapping function can be defined that depends on three variables u, v and w. This allows, for example, plane families or overlapping three-dimensional figures to be generated. This graphic offers the most comprehensive mapping options in real 3D space. For each of the coordinate axes x, y and z, a separate mapping function can be defined that depends on three variables u, v and w. This allows, for example, plane families or overlapping three-dimensional figures to be generated.
  
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 CGRAPH then varies the variables u and v according to the number of support points specified in the [[3D graphics|settings]]. The **//number of support values for the variable w//** can be specified here – a maximum of 16 iterations are possible. CGRAPH then varies the variables u and v according to the number of support points specified in the [[3D graphics|settings]]. The **//number of support values for the variable w//** can be specified here – a maximum of 16 iterations are possible.
  
-An explanation for this restriction is provided by the way in which CGRAPH generates the images in space. The mapping over u and v (with n iterations each, i.e. a total of n<sup>2</sup> calculations) is repeated for each w – for w=16, this means 16 times, resulting in a total of 16 times as much data as for the [[surfaces in space|surfaces in space]]. The speed of the 3D engine used limits the maximum possible number of support values here.+An explanation for this restriction is provided by the way in which CGRAPH generates the images in space. The mapping over u and v (with n iterations each, i.e. a total of n<sup>2</sup> calculations) is repeated for each w – for w=16, this means 16 times, resulting in a total of 16 times as much data as for the [[flaechenimraum|surfaces in space]]. The speed of the 3D engine used limits the maximum possible number of support values here.
  
 For simplicity, the variable w can also be automatically increased with each additional v and u within its own support values. It then increases continuously from the support value w<sub>i</sub> to the next support value w<sub>i+1</sub>. See the three examples below. For simplicity, the variable w can also be automatically increased with each additional v and u within its own support values. It then increases continuously from the support value w<sub>i</sub> to the next support value w<sub>i+1</sub>. See the three examples below.
    
  
-After clicking on the //Create graphic// button, CGRAPH switches to the **//Display//** tab and displays the graphic.+After clicking on the //Create graphic// button, CGRAPH switches to the **//Graphics//** tab and displays the graphic.
    
  
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 The default values can be changed later – clicking on one of the values switches CGRAPH back to the tab with the default values. The graphic is adjusted as soon as the **//Create graphic//** button is clicked. The default values can be changed later – clicking on one of the values switches CGRAPH back to the tab with the default values. The graphic is adjusted as soon as the **//Create graphic//** button is clicked.
  
-[[Operating3DGraphics|Notes on operating the graphic display]]+[[OperatingGraphics3D|Notes on operating the graphic display]]
  
 [[realSpace3D|Back to overview]] [[realSpace3D|Back to overview]]
  
en/abbildungenimraum.1772553461.txt.gz · Last modified: by frankbrennecke

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