What Shape is this Paper Lamp?

  • Thread starter Thread starter sushi
  • Start date Start date
  • Tags Tags
    Shape
AI Thread Summary
The discussion revolves around identifying the geometric shape of a paper lamp designed by a user. The creator initially aimed for a dodecahedron but adjusted the design for size and functionality, incorporating LED lighting. The construction involves folding six sheets of paper into interlocking triangles to form pentagonal pyramids. Participants debate whether the edges where the faces are glued together are considered part of the figure, ultimately confirming that if those edges are excluded, the shape can indeed be classified as a dodecahedron. The conversation highlights the complexities of 3D visualization in crafting geometric designs.
sushi
Messages
3
Reaction score
0
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.
 

Attachments

  • image_00560.jpg
    image_00560.jpg
    33 KB · Views: 582
Mathematics news on Phys.org
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.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »
Thread 'Imaginary Pythagoras'

Thread 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

What Is the Shape of This Lamp?
Replies
7
Views
2K
B Simple Combo/Permute calculation
Replies
45
Views
4K
MHB Find the volume of the hexagonal-shaped plastic box
Replies
4
Views
1K
I Creating a function with specific shape, intercepts, integral....
Replies
1
Views
1K
B Properties and Behaviors of an Object
Replies
1
Views
1K
I A way to comprehend the geometry of a hypercube
Replies
2
Views
2K
B What is the connection between x^2 and a square shape?
Replies
5
Views
2K
Medical How does human eye decode different geometric shapes such as circle?
Replies
7
Views
2K
B How to draw a plane intersecting a cylinder at a "compound angle"
Replies
8
Views
3K
Compare rotational inertia of 2 paper cups in 2 diff orientations
Replies
12
Views
951

Hot Threads

Recent Insights

Back
Top