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Gregor Johann Mendel (1822-1884) was an Austrian Augustinian abbot who discovered one of the basic laws of inheritance in plants and animals. He discovered a law of chance which seems to govern whenever there is interaction between two genetic factors that are different in nature. Mendel's Ratio is encountered in the narrative of the origin of Havona Servitals, Universal Conciliators, secondary midwayers, and it is probably involved (in a modified manner) in the origin of cherubim and sanobim.

Gregor Johann Mendel (1822-1884) was an Austrian Augustinian abbot who discovered one of the basic laws of inheritance in plants and animals. He discovered a law of chance which seems to govern whenever there is interaction between two genetic factors that are different in nature. Mendel's Ratio is encountered in the narrative of the origin of Havona Servitals, Universal Conciliators, secondary midwayers, and it is probably involved (in a modified manner) in the origin of cherubim and sanobim.

Mendel's Ratio: A law of chance. There is nothing mysterious about Mendel's Ratio, it is simply a law of chance. It can be demonstrated very easily with eight checker pieces and a man's hat. Four of the checker pieces should be of one color, and the other four should be of a contrasting color -say, black and white. We should now put all eight in the hat and draw them out two-by-two, so there are four pairs of checkers. If this is done a number of times - a dozen times, or a hundred - it will be seen that the pairs of checkers average out (for each set of four pairs) as follows: one double-white pair, two mixed pairs, and one double-black pair. We can express this grouping as follows: WW + WB + WB + BB. This is nothing more than an old and familiar algebraic equation: (a + b) x (a + b) = aa + ab + ab + bb, or, to write in a more recognizable form - a2 + 2ab + b2 .

''Mendel's Ratio'': A law of chance. There is nothing mysterious about Mendel's Ratio, it is simply a law of chance. It can be demonstrated very easily with eight checker pieces and a man's hat. Four of the checker pieces should be of one color, and the other four should be of a contrasting color -say, black and white. We should now put all eight in the hat and draw them out two-by-two, so there are four pairs of checkers. If this is done a number of times - a dozen times, or a hundred - it will be seen that the pairs of checkers average out (for each set of four pairs) as follows: one double-white pair, two mixed pairs, and one double-black pair. We can express this grouping as follows: WW + WB + WB + BB. This is nothing more than an old and familiar algebraic equation: (a + b) x (a + b) = aa + ab + ab + bb, or, to write in a more recognizable form - a2 + 2ab + b2 .

Mendel worked out all of this by cross-breeding peas - tall ones and short ones. What we have been considering is the second step in his experiment; the first step was cross-breeding the tall peas with the short peas. Mendel's first discovery was that one of the two inheritance factors (tallness) would completely cover up the other factor (shortness). All the cross-bred peas were tall; they were not even slightly shorter than the tall peas of the first generation.

Mendel worked out all of this by cross-breeding peas - tall ones and short ones. What we have been considering is the second step in his experiment; the first step was cross-breeding the tall peas with the short peas. Mendel's first discovery was that one of the two inheritance factors (tallness) would completely cover up the other factor (shortness). All the cross-bred peas were tall; they were not even slightly shorter than the tall peas of the first generation.