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Rodin aerodynamics - Free-Energy Devices

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These are identical in form to equations [44-47].<br />

Now let’s continue as before, taking a look at how h and i are determined for a row<br />

starting with m5h followed by m4i, or vice-versa.<br />

t1 1 = m53 t1 2 = m46 [62]<br />

We also observe the following pattern along the rows of the torus:<br />

t2 1 = m48 t2 2 = m52 [63]<br />

t3 1 = m54 t3 2 = m47<br />

t4 1 = m49 t4 2 = m53<br />

t5 1 = m55 t5 2 = m48<br />

t6 1 = m41 t6 2 = m54<br />

t7 1 = m56 t7 2 = m49<br />

t8 1 = m42 t8 2 = m55<br />

t9 1 = m57 t9 2 = m41<br />

t10 1 = m43 …<br />

t11 1 = m58<br />

t12 1 = m44<br />

t13 1 = m59<br />

t14 1 = m45<br />

t15 1 = m51<br />

t16 1 = m46<br />

t17 1 = m52<br />

t18 1 = m47<br />

In general we see that<br />

tj 1 = m5dep(3+(j-1)/2) and tj 2 = m4dep(6+(j-1)/2) when j is odd [64]<br />

tj 1 = m4dep(8+(j-2)/2) and tj 2 = m5dep(2+(j-2)/2) when j is even [65]<br />

47

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