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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== Description == | == 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. | 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 R'''ose Curved Surface''' is on the third platform. | ||
== Educational Info == | == 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. | 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'''." | |||
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[[Category:Featured Worlds]] | [[Category:Featured Worlds]] | ||
[[Category:Community Worlds]] | [[Category:Community Worlds]] | ||
[[Category:MMC24]] | [[Category:MMC24]] | ||
Revision as of 17:57, 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 0