Rose Curved Surface バラ曲面
Created By
υμβραν
Published On
2024/02/28
Tags
rose curved surface, MMC24, educational
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"Adding another angle to the circular coordinates, one ('''r''') and two angles ('''Θ''',φ) can be used to point to a ''point'' in a three-dimensional space. These three-dimensional polar coordinates are called spherical coordinates. Extending this to a 3-dimensional spherical coordinates, there are two angles, so we though it would be possible to construct a plane. Then, the equations of the Rose Curve were given to each of '''Θ''' and φ, and by combining them, a three-dimensional object could be generated. This three-dimensional object contains many of the characteristics of a Rose Curve and looks like a flower petal, so I named it a '''Rose Curved Surface'''." | "Adding another angle to the circular coordinates, one ('''r''') and two angles ('''Θ''',φ) can be used to point to a ''point'' in a three-dimensional space. These three-dimensional polar coordinates are called spherical coordinates. Extending this to a 3-dimensional spherical coordinates, there are two angles, so we though it would be possible to construct a plane. Then, the equations of the Rose Curve were given to each of '''Θ''' and φ, and by combining them, a three-dimensional object could be generated. This three-dimensional object contains many of the characteristics of a Rose Curve and looks like a flower petal, so I named it a '''Rose Curved Surface'''." | ||
The player | The player is provided with a Rose Curved Surface generator which the player can create their own Rose Curved Surface by the additional math variable of the original Rose Curve equation. When the player is satisfied with a generated Rose Curve Surface, the player can bake it and it will be an interactable object. | ||
[[Category:Featured Worlds]] | [[Category:Featured Worlds]] | ||
[[Category:Community Worlds]] | [[Category:Community Worlds]] | ||
[[Category:MMC24]] | [[Category:MMC24]] | ||
Revision as of 18:09, 8 June 2024
- This world is made by the community.
Rose Curved Surface バラ曲面 is a world by υμβραν for MMC 2024
This world can be accessed with: resrec:///U-1ab6590e-9cac-43c3-a23f-147579e0f277/R-9c3a2eaf-f574-42fb-943c-98fb00bb50bc
Description
The world features a platform constructed using the Dawn Modular Set which is in the Resonite Essential folder. The world provides an introduction to the player about Rose Curve; a mathematical equation that creates a shape of a petalled flower. Info about the Rose Curve and its creation is located on the second platform while the Rose Curved Surface is on the third platform.
Educational Info - Rose Curve
In mathematics, a rose or a rhodonea curve is either a cosine or sine functions with no phase angles that is plotted in polar coordinates.
"Two-dimensional polar coordinates, called circular coordinates can point to a point on a plane by distance (r) and angle (Θ) from the origin. According to the equation r=sin (Θxn/d), the distance from the origin is varied with angle. When we do so, a flower-like graph appears, hence the name Rose Curve."
The player can play around with the value of the variable to get different result of a Rose Curve. Additionally, the player can grab a copy of a Rose Curve from a Rose Curve graph nearby.
Educational Info - Rose Curve Surface
"Adding another angle to the circular coordinates, one (r) and two angles (Θ,φ) can be used to point to a point in a three-dimensional space. These three-dimensional polar coordinates are called spherical coordinates. Extending this to a 3-dimensional spherical coordinates, there are two angles, so we though it would be possible to construct a plane. Then, the equations of the Rose Curve were given to each of Θ and φ, and by combining them, a three-dimensional object could be generated. This three-dimensional object contains many of the characteristics of a Rose Curve and looks like a flower petal, so I named it a Rose Curved Surface."
The player is provided with a Rose Curved Surface generator which the player can create their own Rose Curved Surface by the additional math variable of the original Rose Curve equation. When the player is satisfied with a generated Rose Curve Surface, the player can bake it and it will be an interactable object.