hSSKJr SSKJrJrJrJrJr SSKrSSK J r J r J r J r SSKJrJr \(aSSKJr S\R&"S5- r\R&"S 5S - r\R,"\R.S - 5S- rS \R2"\R.S - 5- r"S S 5rSSSjjrSSSjjrSSSjjrSSSjjrg)) annotations) TYPE_CHECKINGIterableSequenceIteratorOptionalN)Vec3UVecMatrix44UCS)MeshVertexMergerMeshTransformer)GenericLayoutType?@g@g@?c\rSrSrSrS S SjjrSSjr\rSSjrSSjr SSSjjr SS jr SS jr S r g)SierpinskyPyramidz Args: location: location of base center as (x, y, z) tuple length: side length level: subdivide level sides: sides of base geometry c.X@l[XX4S9Ulg)N)locationlengthlevelsides)rsierpinsky_pyramidpyramid_definitions)selfrrrrs Q/var/www/html/env/lib/python3.13/site-packages/ezdxf/addons/sierpinski_pyramid.py__init__SierpinskyPyramid.__init__s #5E$  c#\# URHupURX5v M g7f)z@Yields the pyramid vertices as list of :class:`ezdxf.math.Vec3`.N)r_calc_vertices)rrrs rverticesSierpinskyPyramid.vertices*s) $ 8 8 H%%h7 7!9s*,c US- nUupEnURS:XaV[XC- XS- U5[XC-XS- U5[XC-XS-U5[XC- XS-U5[XEXb[--5/$URS:XaVU[-nU[-n[XC- XW- U5[XC-XW- U5[XEU-U5[XEXb[ --5/$[ S5e)z Calculates the pyramid vertices. Args: location: location of the pyramid as center point of the base length: pyramid side length Returns: list of :class:`ezdxf.math.Vec3` rsides has to be 3 or 4.)rr HEIGHT4 DY1_FACTOR DY2_FACTORHEIGHT3 ValueError) rrrlen2xyzdy1dy2s rr# SierpinskyPyramid._calc_vertices1s|a ::?QXqx+QXqx+QXqx+QXqx+Q1//0  ZZ1_:%C:%CQXqw*QXqw*QC#Q1//0  67 7r!chURS:Xa/SQ$URS:Xa/SQ$[S5e)zkReturns list of pyramid faces. All pyramid vertices have the same order, so one faces list fits them all. r'))r(r)rr8r')r8r7r')r7r(r')r(rr'r())r7r8r)rr8r()r8r7r()r7rr(r))rr.)rs rfacesSierpinskyPyramid.facesTs2 ::?M M ZZ1_? ?67 7r!NcU(a!UR5nURXXES9 gUR5HnURXXES9 M g)aRenders the sierpinsky pyramid into layout, set `merge` to ``True`` for rendering the whole sierpinsky pyramid into one MESH entity, set `merge` to ``False`` for individual pyramids as MESH entities. Args: layout: DXF target layout merge: ``True`` for one MESH entity, ``False`` for individual MESH entities per pyramid dxfattribs: DXF attributes for the MESH entities matrix: apply transformation matrix at rendering ucs: apply UCS at rendering ) dxfattribsmatrixucs)r=r>N)mesh render_meshpyramids)rlayoutmerger<r=r>r?pyramids rrenderSierpinskyPyramid.render`sO* 99;D   f   ==?##Fv#O+r!c#x# UR5nUH n[5nURX!S9 Uv M" g7f)z^Yields all pyramids of the sierpinsky pyramid as individual :class:`MeshTransformer` objects. r$r9N)r9radd_mesh)rr9r$r?s rrASierpinskyPyramid.pyramids~s7 H"$D MM8M 9Js8:cUR5n[5nUHnURX1S9 M [R"U5$)z8Returns geometry as one :class:`MeshTransformer` object.rH)r9r rIr from_builder)rr9r?r$s rr?SierpinskyPyramid.meshs> !H MM8M 9++D11r!)rr)rOrOrr8r')rr rfloatrintrrQ)returnzIterator[list[Vec3]])rr rrPrRz list[Vec3])rRzlist[Sequence[int]])FNNN) rBrrCboolr=zOptional[Matrix44]r>z Optional[UCS]rRNone)rRzIterable[MeshTransformer])rRr)__name__ __module__ __qualname____firstlineno____doc__rr$__iter__r#r9rErAr?__static_attributes__r!rrrs)          8 H!8!8&+!8 !8F 8%)! P!PP # P  P P<2r!rc [U5n[U5nUS:a [S5e[XU5n[ US- 5H-n/nUH upUR [XU55 M" UnM/ U$)aBuild a Sierpinski pyramid. Args: location: base center point of the pyramid length: base length of the pyramid level: recursive building levels, has to 1 or bigger sides: 3 or 4 sided pyramids supported Returns: list of pyramid vertices r8zlevel has to be 1 or bigger.)r rQr._sierpinsky_pyramidrangeextend)rrrrrA_next_level_pyramidss rrrs"H~H JE qy788"8U;H 519   ( H  & &#He< !)'  Or!c\US:Xa [X5$US:Xa [X5$[S5e)Nr(r'r))sierpinsky_pyramid_3sierpinsky_pyramid_4r.)rrrs rr^r^s4 z#H55 !#H55233r!c US- nUS- nUupEn[XC- XS- U5U4[XC-XS- U5U4[XC- XS-U5U4[XC-XS-U5U4[XEXb[--5U4/$)zBuild a 4-sided Sierpinski pyramid. Pyramid height = length of the base square! Args: location: base center point of the pyramid length: base length of the pyramid Returns: list of (location, length) tuples, representing the sierpinski pyramid r7r')r r*)rrr/len4r0r1r2s rreres A:D A:DGA! ah! $d+ ah! $d+ ah! $d+ ah! $d+ aAw& '.  r!c U[-S-nU[-S-nUS- nUS- nUupgn[Xe- Xr- U5U4[Xe-Xr- U5U4[XgU-U5U4[XgX[--5U4/$)zBuild a 3-sided Sierpinski pyramid (tetraeder). Args: location: base center point of the pyramid length: base length of the pyramid Returns: list of (location, length) tuples, representing the sierpinski pyramid rr7r')r+r,r r-) rrr3r4r/rgr0r1r2s rrdrds :  #C :  #C A:D A:DGA! ah #T* ah #T* aS! d# aAw& '.  r!rN)rrPrrQrrQrRlist[tuple[Vec3, float]])rr')rr rrPrrQrRri)r)rr rrPrRri) __future__rtypingrrrrrmath ezdxf.mathr r r r ezdxf.render.meshr r ezdxf.eztypesrsqrtr*r-tanpir+cosr,rrr^rerdr\r!rrts1#HH 00?/  #  ))C.3  XXdggm $s * 488DGGcM* * z2z2|       B7844!40344%(!4%(!r!