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keisanHigh-precision calculations for everyday life and work

Laying Tatami Mats

Author: knifeExecutions: 3635

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Vertical
Half-ken
Horizontal
Half-ken
 間×  間=  tsubo(  Tatami Room)
 Street
Based on the room size (half-ken × half-ken), the number of tatami-laying patterns is calculated as
 2^(mn/2) Π[j=1 to m] Π[k=1 to n] (cos(j*π/(m+1))^2 + cos(k*π/(n+1))^2)^(1/4)
.
For example, for a room 3 hanma long by 2 hanma wide,
 ┌─┐┌─┐┌┬┐
 ├─┤├┬┤│││
 ├─┤│││├┴┤
 └─┘└┴┘└─┘
As shown above, rotated and mirrored solutions are counted as separate solutions, resulting in three possibilities.
However, if the layout requires half-tatami mats, the calculation cannot be performed; therefore, please set either the length or the width to an even number.
You can change the number of calculation digits in the upper-right corner.

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