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The lynz (pronounced "lines") is a dynamic googologism that grows over time.[1]

There are two definitions. The first lynz is defined as follows:

  • It is 100 on February 26th, 1998.
  • For all following days, the value of the previous day is doubled.
  • It is rounded to 1063 on September 17th, 1998.
  • For all following days, the value of the previous day is squared.

The second lynz is defined as follows:

  • It is 100 on February 26th, 1998.
  • For all following days, the value of the previous day is doubled.

The term "the lynz" abbreviated K (kappa), refers to the sum of the two.

Formally:

\begin{eqnarray*} K_1 &=& \left\{ \begin{array} \\ d < 203: & 100 \cdot 2^d \\ d \geq 203: & 10^{63 \cdot 2^{d - 203}} \end{array} \right. \\ K_2 &=& 100 \cdot 2^d \\ K &=& K_1 + K_2 \end{eqnarray*}

where \(d\) is the number of days since February 26th, 1998.

The lynz, and its larger relative Clarkkkkson, both change over time. Thus, they can be considered functions of time instead of true numbers.

The current value is approximately 10102101 (refresh), between googolcentigong and googolplexigong.[2]

History Edit

The number originated when chemistry student Adam Clarkson was told to write "I must always tuck my shirt in whilst participating in a Chemistry Lesson" one hundred times on a chalkboard. The teacher added that the number of lines would double for every day they were not done. On September 17th, the teacher said "If they're not on my desk by tomorrow, they'll square!", causing the number to square every day after that.

The second lynz originated from Clarkson being told to write "I must do my lines".

Sources Edit

  1. Further Lynz Explanation
  2. Notable Properties of Specific Numbers (page 22) at MROB

See also Edit

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