How to Visualize 3D Surfaces for a PVT Diagram

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    Calc 3 Surfaces
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Discussion Overview

The discussion revolves around the visualization of 3D surfaces, specifically in the context of a Pressure-Volume-Temperature (PVT) diagram. Participants explore methods for representing these surfaces, including practical techniques and challenges in visualization.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant describes a method for visualizing the plane defined by the equation 2x+2y+z=6 using paper folding techniques to create a physical representation.
  • Other participants express confusion regarding the clarity of the original post, questioning whether it is a question or a how-to guide.
  • A later post introduces a challenge to visualize a 3D PVT diagram, suggesting a more complex visualization task.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the clarity of the original post, with some finding it vague while others interpret it as a how-to guide. The challenge of visualizing a 3D PVT diagram introduces additional complexity, indicating that multiple perspectives exist.

Contextual Notes

The discussion lacks clear definitions of terms and assumptions regarding the visualization techniques. There are also unresolved questions about the specific goals of the original post.

Who May Find This Useful

Individuals interested in mathematical visualization, particularly in the context of PVT diagrams and 3D surface representation.

benorin
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TL;DR
How to visualize 3-d surfaces in a test friendly manor
1. Fold in half the long way
8C3B63F5-0397-4C14-B408-AF0C7B8C5B47.jpeg

2. Fold in half the short way

53BE26D0-C33C-4FEE-86DD-29C59E96FA10.jpeg

3. Unfold paper, grasping the left side horizontal crease, bend the paper as shown by making the left crease flush with the bottom vertical crease and crease along the -45 degree bend (not shown)

46A766D2-4969-4B6C-A39C-9150D956FC83.jpeg


4. This is the visualization for the plane
2x+2y+z=6, made by drawing traces of the given surface in the coordinate-planes. For example, in the xy-plane set z=0 to get 2x+2y=6.
DFD72ACE-D5AC-4430-A283-778E68A88464.jpeg
 
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Vague question. What are you looking for?
 
mathman said:
Vague question. What are you looking for?
It’s a how to post, not a question
 

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