The length of the new bar is always the minimum length of the two component bars. The mathematical torsion bar produced from I2 and J2 is generated similarly, but this time the resulting bar is 1-dimensional. Based on line (5) of Theorem 1, the new 1-dimensional bar produced via mathematical torsion is Note that if either component bar is semi-infinite, then no product bar is produced via mathematical torsion, since its birth value would be infinite. We perform these same calculations for each combination of bars to obtain the twenty bars of the 2-methylpentane energy landscape. This type of analysis allows us to determine the exact number of bars, both finite and semi-infinite, for any branched alkane energy landscape, as constructed mathematically in the next section.