Skip to main content

plotting - Method -> {"AxesInFront" -> False} for Graphics3D


I'm aware of two ways to manage positioning of Axes for Graphics3D: AxesOrigin and AxesEdge. They seem to be quite different in terms of what is actually happening:


GraphicsRow[{

Graphics3D[##, AxesOrigin -> {0, 0, 0}],
Graphics3D[##, AxesEdge -> {{-1, -1}, {-1, -1}, {-1, -1}}]
} &[Sphere[{1, 1, 1}, 1], Axes -> True, ViewPoint -> {5, 7, 3}]]

enter image description here


I want the graphics elements to be up front.


For axes being a part of the box it is natural to use AxesEdge since it gives me that effect.


However sometimes I want the axes origin to be inside the box. AxesEdge is useless and AxesOrigin creates strange effect:


Graphics3D[{Opacity@1, Sphere[{1, 1, 1}, 1]}, Axes -> True, AxesOrigin -> {1, 1, 1}]


enter image description here


Axes created with AxesOrigin seem to be different object than with AxesEdge. It looks like some kind of 2D projection in front of 3D graphics while AxesEdge creates something which is part of 3D graphics.


As one may know there (..find undocumented options...) is an undocumented option Method -> { "AxesInFront" -> False } to deal with this issue in $2D$ graphics.


It doesn't seem to work in $3D$. So my question is if anyone is aware of, maybe undocumented, option responsible for that.


If this is a projection it could be behind the Graphics3D objects too, couldn't it be? (that's a little bit naive, in form, question since I do not know much about graphics rendering etc)




P.s. I do not expect answers like "You can use FindDivisions+Line" etc. I'm looking for simple and fast solution. Or an answer that there isn't any. (spelunking appreciated too:))



Answer



If I understand correctly, in the case of your sphere you'd like the sphere to obscure your axes and ticks, except perhaps for a little bit where they poke out at the edges.


This isn't currently possible without writing your own axes using Line and Inset.



The "AxesInFront" and other "...InFront" method options only apply to Graphics which doesn't have a natural $z$-order.


Comments

Popular posts from this blog

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...

mathematical optimization - Minimizing using indices, error: Part::pkspec1: The expression cannot be used as a part specification

I want to use Minimize where the variables to minimize are indices pointing into an array. Here a MWE that hopefully shows what my problem is. vars = u@# & /@ Range[3]; cons = Flatten@ { Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; Minimize[{Total@((vec1[[#]] - vec2[[u[#]]])^2 & /@ Range[1, 3]), cons}, vars, Integers] The error I get: Part::pkspec1: The expression u[1] cannot be used as a part specification. >> Answer Ok, it seems that one can get around Mathematica trying to evaluate vec2[[u[1]]] too early by using the function Indexed[vec2,u[1]] . The working MWE would then look like the following: vars = u@# & /@ Range[3]; cons = Flatten@{ Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; NMinimize[ {Total@((vec1[[#]] - Indexed[vec2, u[#]])^2 & /@ R...