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Hi all! I have recently taught myself parametrics, and I stumbled upon the butterfly curve. So, I was wondering about some cool equations I can plug into a parametric graphing calculator.
Oh, those are a lot of fun -- even better than polar graphing! My favorite is the Hypotrochoid:Isaac0427 said:Hi all! I have recently taught myself parametrics, and I stumbled upon the butterfly curve. So, I was wondering about some cool equations I can plug into a parametric graphing calculator.
That one is lovely.Ssnow said:The astroid:
##x(t)=a\cos^{3}{t}##
##y(t)=a\sin^{3}{t}##
Cool parametric equations are mathematical equations that describe the relationship between two or more variables in a system. They are commonly used in fields such as physics, engineering, and computer graphics to model complex systems.
Unlike regular equations, parametric equations introduce a third variable called a parameter. This parameter allows the equations to represent a wider range of values and often allows for more complex and interesting shapes and patterns to be created.
Parametric equations are considered "cool" because they allow for the creation of visually striking and intricate patterns and shapes. They are also often used in computer graphics to create animations and simulations, which can be visually appealing and fascinating.
Yes, parametric equations have many practical applications in fields such as engineering, physics, and computer science. They are often used to model and analyze complex systems, and can also be used in designing and optimizing structures and machines.
While parametric equations have many benefits, they also have limitations. They may not be suitable for all types of problems, and they can be more complicated to work with compared to regular equations. Additionally, parametric equations may not have a unique solution, leading to multiple possible solutions for a given problem.