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MATHS AI PROPOSAL, (The armholeone of the most critical curves in garment…
MATHS AI PROPOSAL
conclusion
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Together, calculus supports both fit and efficiency in pattern making.
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Possible extensions: parametric equations, 3D modeling, CAD systems.
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Mathematical presentation: derivatives, integrals, optimization shown step by step.
Mathematical communication: clear graphs, diagrams, notation.
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mathematics
Mathematical Exploration
Connect to sewing: smoothness = better fit, fewer puckers
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Analyze
ANALYSIS AND DISCUSSION
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Compare different curve models (e.g., quadratic vs cubic fit).
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Use derivatives to find optimal dimensions (e.g., dart depth) to minimize fabric while achieving a target shape.
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How can calculus be applied to analyze garment curves and estimate fabric usage in fashion pattern making?
Where mathematics comes in , calculus gives tools for smoothness and area
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The armholeone of the most critical curves in garment design, If it is too sharp or irregular, the sleeve will not sit smoothly, leading to discomfort or restricted movement , A smooth armhole curve ensures that the sleeve and bodice join seamlessly without puckering.
Necklines : define both the aesthetic of the garment and the comfort for the wearer, A jagged or poorly shaped neckline curve can feel tight in some areas and loose in others , Smooth mathematical curves make sure the neckline transitions naturally around the body.
The sleeve cap : (top curved part of a sleeve pattern) must match the armhole precisely, The smoothness and steepness of this curve affect how the sleeve drapes and whether it restricts movement , Designers often use French curves or digital tools, but underlying these tools are the principles of continuous, well-behaved curves.
Darts : triangular or curved folds that shape flat fabric to fit the body’s contours , The curves at the dart legs and points must be smooth to avoid bulges in the fabric , Even slight changes in curvature affect how fabric distributes tension and creates form.
A garment pattern is a template used in sewing and fashion design to trace and cut out the parts of a garment from fabric. Patterns are typically made of paper and serve as a guide for assembling the final piece of clothing.
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