What Shape is this Paper Lamp?

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Discussion Overview

The discussion revolves around identifying the geometric shape of a paper lamp constructed by a participant. The inquiry includes considerations of 3D visualization and the construction process, with references to specific geometric classifications such as dodecahedron.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks to classify the shape of their paper lamp, suggesting it may be a dodecahedron.
  • Another participant expresses curiosity about the construction process, noting the complexity of 3D visualization involved.
  • A participant describes their construction method, indicating that they initially aimed for a dodecahedron but adjusted the design due to size constraints and the need to accommodate an LED light.
  • There is a question about whether the edges where the faces are glued together should be considered part of the figure, which could influence the classification of the shape.
  • Another participant acknowledges the aesthetic appeal of the lamp but reiterates the need for a definitive name for the shape.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the classification of the shape, with multiple viewpoints and uncertainties remaining regarding its geometric identity.

Contextual Notes

There are unresolved questions about the definition of the shape, particularly concerning the inclusion of glued edges in the classification process.

sushi
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Hi,

I built this paper lamp and am trying to figure out what shape it would be classified as (dodecahedron, etc.). I've attached a picture of the shape, thanks for your help.
 

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sushi said:
Hi,

I built this paper lamp and am trying to figure out what shape it would be classified as (dodecahedron, etc.). I've attached a picture of the shape, thanks for your help.

Making this requires insane 3d visualization. How did you do it?
 
I just figured it out as I went, orginaly I wanted to make a dodecahedron but it wasn't going to be big enough for what I wanted [putting an LED light inside of it et cetera..]. Each pentagonal pyramid is 6 sheets of paper that I folded into sort of interlocking triangles.
 
That's a cool looking figure.
 
But what would it be called?
 
Are the edges where the faces are glued together part of the figure?

If not then the platonic solid consisting of 12 faces, each a pentagon, is, in fact, a dodecahedron.
 

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