How Can You Create Complex Seashell Surfaces in Maple?

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Discussion Overview

The discussion revolves around creating complex parametrized surfaces in Maple, specifically focusing on seashell shapes. Participants share their experiences and seek suggestions for more intricate designs beyond simple shell forms.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses a desire to create more complex seashell shapes and invites suggestions for new parametrizations.
  • Another participant inquires about the specific parametric equations being used, indicating a shared interest in the topic.
  • A suggestion is made to combine functions such as sine, cosine, exponential, and imaginary numbers to explore new shapes.
  • A participant proposes a method of analyzing plot outputs to reverse-engineer equations based on desired visual results.
  • A link to a Wikipedia page is shared, along with a modified version of a seashell equation, emphasizing the importance of aspect ratio in the plots.

Areas of Agreement / Disagreement

The discussion remains open-ended with no consensus on specific parametrizations or methods, as participants are exploring various approaches and ideas.

Contextual Notes

Participants have not yet established specific equations or methods that yield the desired complex seashell shapes, and there may be limitations based on individual experimentation and understanding of parametrizations.

Who May Find This Useful

Individuals interested in mathematical modeling, computer graphics, and those looking to enhance their skills in using Maple for creating complex shapes.

imsoconfused
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I've been doing some experimentation with plotting parametrized surfaces in maple, and I would like to get some ideas for more things I could do. I'm not very clever at figuring out new parametrizations, but I'd like to do some things with seashells. The plots I'm coming up with are very simple, like little moonshells or olive shells. I'd like to do some more complicated ones, like lyria and those spiky shells (that I don't know the names of!). I'd welcome any and all suggestions, this is quite fun!
 
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i use maple a lot too, what parametric equations are you using? It's winter break and I wouldn't mind a fun thing to work on this month.
 
Try combining sin, cos, exp, pi and i functions.
 
ok, been playing with it some...what equations have you used to yield what results (screens/eq's)? I'm thinking that if we analyze plot outputs under certain observed conditions, we can work backwards from a desired result to an equation - based on the ones we already have.
 
here is the one wikipedia gives, I have changed it around some (essentially just changed the constants) to obtain different looking shells: http://en.wikipedia.org/wiki/Seashell_surface
be sure you set it 1:1, otherwise it looks too fat.
 

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