What is R2 Rotvision?
The R2 rotvision operation is the inverse of rotation. Rotation requires an amount of rotation, a single point axis and a starting point in order to calculate the new location of a point. In contrast, rotvision requires a current point, a single point axis and an original starting point that are all Opposite Values. The rotvision operation returns the amount of rotation required to get from the original starting point to the current point around the given single point axis.
For example, the rotation π^/4 ↺ 1^ = (√2/2^ + √2/2i^) gives rise to the rotvision equation (√2/2^ + √2/2i) /↺ 1^ = π^/4. Here (√2/2^ + √2/2i^) is the current point. The single point axis is (0, 0).The original starting point is 1^. Finally, the result is π^/4.
Syntax
The syntax of R2 Rotvision is:
(Current point) /↺?, (Starting point) = ??o or aπ?
In rotvision, /↺ is the Operation, the ? is the single axis point. Together with the starting point they form the Operator. The current point is the Operand. The starting point and Operand must be Opposite Values. The result is in the form of an angle of rotation.
For example, in the equation (√2/2^ + √2/2i^) /↺ 1^ = π^/4, the starting point 1^ and the single point axis (0, 0) form the Operator. The Operand is (√2/2^ + √2/2i^). The result is π^/4.
The details of how rotvision is calculated have not been worked out. As a result it is not included in the online calculator.
Examples
- (√3/2^ + 1/2i^) /↺ 1^ = π^/6, 11πv/6, 13π^/6, 23πv/6 …
- (√2/2^ + √2/2i^) /↺ 1^= π^/4, 7πv/4, 9π^/4, 15πv/4 …
- (2v + 5i^) /↺ (2v + 5i^) = 0, 2π^, 2πv, 4π^, 4πv …
- (11v + 2i^) /↺(7v, 8iv) (3^+ 4iv) = π^/2, 3πv/2, 5π^/2, 7πv/2 …
- 9.928^+ 2.732iv /↺(4^, 3i^) (2^ + 5iv ) = π^/3, 5πv/3, 7π^/3, 11πv/3 …
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