Gamification Assisted Language Learning for Japanese Language Using Expert Point Cloud Recognizer

Table 6

Description of Formula Rotation.

Symbol	Description
	Coordinates of midpoint against the x-axis
	Coordinates of midpoint against the y-axis
	Starting point coordinates to x-axis
	Coordinate 1st point of x-axis
	Coordinates of n-point of x-axis
	Starting point coordinates to y-axis
	Coordinate 1st point of y-axis
	Coordinates of n-th point of y-axis
	Sum of all points
	Angle formed by
	Coordinate posts after rotation of x-axis
	Coordinate posts after rotation of y-axis