Left Side, Right Side, Bounded And Kinky

Looking at the results from the post "Split Cannot Mend" dated 10 Aug 2015, what happen when,

$\theta_2-\alpha_{2s}\lt0^o$

and

$\theta_2+\alpha_{2p}\gt90^o$ ??

And when $\mu_2\gt\mu_1$

$\theta_2-\alpha_{2s}\gt\theta_1-\alpha$

$\alpha_{2s}\lt\theta_2-\theta_1+\alpha$

and

$\theta_2+\alpha_{2p}\gt\theta_1+\alpha$

$\alpha_{2p}\gt\alpha-(\theta_2-\theta_1)$

If we define,

$\Delta \theta=\theta_2-\theta_1$

$\alpha_{2s}\lt\alpha+\Delta\theta$

and

$\alpha_{2p}\gt\alpha-\Delta\theta$

and the split occurs on the two sides about $\alpha$ through the foot of the surface normal bounded by $\pm\Delta \theta$

When $\mu_2\lt\mu_1$

$\theta_2-\alpha_{2s}\lt\theta_1-\alpha$

$\alpha_{2s}\gt\alpha+\Delta \theta$

and

$\theta_2+\alpha_{2p}\lt\theta_1+\alpha$

$\alpha_{2p}\lt\alpha-\Delta \theta$

the split occurs on the two sides, outside of the bound define by $\pm\Delta \theta$ about $\alpha$.

Strange way to split a banana.