Isometric Projection - Rotation Angles

Rotation Angles

From the two angles needed for an isometric projection, the value of the second may seem counter intuitive and deserves some further explanation. Let’s first imagine a cube with sides of length 2, and its center positioned at the axis origin. We can calculate the length of the line from its center to the middle of any edge as using Pythagoras' theorem . By rotating the cube by 45° on the x axis, the point (1, 1, 1) will therefore become (1, 0, ) as depicted in the diagram. The second rotation aims to bring the same point on the positive z axis and so needs to perform a rotation of value equal to the arctangent of which is approximately 35.264°.

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