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Klein Bottle

Source Notebook

3D model of a Klein bottle

Details

The Klein Bottle 3D Model is a model of the mathematical phenomenon, the Klein bottle, which is an example of a non-orientable surface similar to the Moebius strip.
Additional content elements include:
“Description"description
“LongDescription"long description
“Name"English name
“StandardName"standard English name
"MeshRegion"mesh region representation
"Region"region representation
"PolygonCount"number of polygons
"VertexCount"number of vertices
"ConnectedComponents"number of connected components
"BoundingBox"bounding box
"Summary"summary information

Examples

Basic Examples (2) 

Retrieve the model:

In[1]:=
ResourceData[\!\(\* TagBox["\"\<Klein Bottle\>\"", #& , BoxID -> "ResourceTag-Klein Bottle-Input", AutoDelete->True]\)]
Out[1]=

Summary properties:

In[2]:=
ResourceData[\!\(\* TagBox["\"\<Klein Bottle\>\"", #& , BoxID -> "ResourceTag-Klein Bottle-Input", AutoDelete->True]\), "Summary"]
Out[2]=

Scope & Additional Elements (2) 

Draw a wireframe model:

In[3]:=
MeshRegion[ResourceData[\!\(\* TagBox["\"\<Klein Bottle\>\"", #& , BoxID -> "ResourceTag-Klein Bottle-Input", AutoDelete->True]\)], PlotTheme -> "Lines"]
Out[3]=

Find the mesh defects:

In[4]:=
FindMeshDefects[ResourceData[\!\(\* TagBox["\"\<Klein Bottle\>\"", #& , BoxID -> "ResourceTag-Klein Bottle-Input", AutoDelete->True]\)]]
Out[4]=

Wolfram Research, "Klein Bottle" from the Wolfram Data Repository (2022)  

Data Resource History

  • Date Created:

Source Metadata

  • Citation:
    • Wolfram Research, “Klein Bottle" from the Wolfram Data Repository (2022) 

Data Downloads

Publisher Information

  • Prepared for the Wolfram Data Repository By: Collin Jung
  • Publisher of Record: Wolfram Research