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Folding a Circle into A Cone - Parameterization Mathematica Notebook

Authors: Emmerson, Parker; Dharmandar dharmandar.mt15@iba-suk.edu.pk;

Folding a Circle into A Cone - Parameterization Mathematica Notebook

Abstract

The Bitcoin donation address is active, and you can support future projects like this by sending to: bc1qglmxcthjk6m63sadvutpn4pk96v2y3a6n68ug0 Money sent to this address goes directly to funding future research on real applications for orbifold geometry. "My project is to take the circle's folding up into a cone using thecoordinate system in: https://zenodo.org/record/7710313 from thedifference between the circumferences of two circles, and have amathematica notebook that animates the transformation using thecoordinate systems specifically." Cone nets are possible for the vertex angle of π/2,, 3π/2,2π and so on. Thetransformation from a point (x, y) in the grid plane to the point (x′, y′, z′) onthe cone is given by

Keywords

Conic Section, Parametric Plot 3D, geometry, Geometric Transformation, Dimensional Variables, Cone Nets, Height Increment, Curve Animation, Visual 3D Representation, Cone Based Visualization, Parametric Equations, AI Transform, Folding Cone, Cone Point Projection, Sphere Coordinates, mathematics, Cone Construction, cone, Mathematica Simulation, parameterization, Intersectional Geometry, Parametric Surface Evolution, space-time, Mathematica Plotting, Parameterized Plane, light cone, Transformation Parameter, Cone Transformation Curve, Radius Verification, Plane Intersection, Vertex Angle Measurement, Projection Surface, Parametric Coordinates, Transformation, Iterative Process, Circumference, Conic Representation, Cone Animation, Grid Plane, Geometric Computation, Cone Slope, Mathematica Notebook, Coefficient of Expansion, 3D Visualization, Cone Graph, Radius Function, Vertex Angle, orbifold, Cone Length, Circle Projection, Symmetry Machine Learning, Rotational Mapping, Length and Angular Measurement, Coordinate System, Mathematical Model

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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