m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m

Table 1:
m IDitotic calculation^{*} | |
---|---|

m Rigatoni length (cm):
m | 5.3 p m |

m Rigatoni outer diameter (cm, from Figure 4):
m | 1.7 p m |

m Rigatoni cylinder surface (length * outer diameter * π),
m cm^{2}:
m | * 3.14156 * p m |

m Rigatoni cylinder ends ((outer diameter/2)^{2} * π * 2),
m cm^{2}:
m | 1.7 2 / , * 3.14156 * 2 * p m |

m Rigatoni total surface (surface + ends), cm^{2}:
m | + p m |

m Based on the estimated clearance of insertion, 0.15 cm, m using the clearance as the radius of a circle m into which the insertion must be made, m the target for insertion from either end is m (2 * π * clearance ^{2}),
m cm^{2}:
m | 0.15 2 / , * 3.14156 * 2 * 3 d p 1 d m |

m Actually the target is much bigger because the tip
m of the m Penne Rigate
m is pointy.
m It is better to use the inner diameter less the
m m Penne Rigate
m tip, which is roughly 0.3 cm (Figure 4).
m m So compute: m (2 * π * (inner diameter - tip) ^{2}),
m cm^{2}:
m | # delete previous calculation: x 1.3 0.3 _ 2 / , * 3.14156 * 2 * 3 d p 1 d # delete this calculation: #x m |

m Probability of one insertion during a random encounter m is the target area divided by the Rigatoni total surface:
m | ~ / n p n m m |

m Fraction of observed insertions (Figure 2): m | 0.6 p m |

m Number of available Rigatoni:
m | 40 0 d p m |

m Estimated total number of insertions (40 * 0.6): m | * p m |

m Probability of all these insertions by random encounter: m | n # s ^ p m m |

m ^{*}This calculation was performed according to standard
m Intelligent Design (IDiotic) methods.
m m It was performed using the m calc program with input m idiotic.calc. m |