Space cardioid explained

The space cardioid is a 3-dimensional curve derived from the cardioid. It has a parametric representation using trigonometric functions, as follows:$$X(t)\; =\; ((1-\; \backslash cos(t))\backslash cos(t),\; (1-\; \backslash cos(t))\backslash sin(t),\; \backslash sin(t))\; \backslash ,$$