Various Tables

This page includes many tables created by me (Allen). I'm not sure if any of these will be useful for anyone.

Golden Proportion

\(\phi^{-1}\) \(\phi^{0}\) \(\phi^{1}\) \(\phi^{2}\)
\(\phi -1\) \(1\) \(\phi\) \(\phi +1\)
\(\frac{\sqrt{5}-1}{2}\) \(1\) \(\frac{\sqrt{5}+1}{2}\) \(\frac{\sqrt{5}+3}{2}\)
\(0.618\) \(1.000\) \(1.618\) \(2.618\)

Square Root 2

\(\sqrt{2}^{-1}\) \(\sqrt{2}^{0}\) \(\sqrt{2}^{1}\) \(\sqrt{2}^{2}\)
\(\frac{\sqrt{2}}{2}\) \(1\) \(\sqrt{2}\) \(2\)
\(0.707\) \(1.000\) \(1.414\) \(2.000\)

Japanese Numbers

1 2 3 4 5 6 7 8 9 10
Traditional
Mahjong

"Two-Color" Years

1881
1888
1911 Xinhai Revolution
1919 Treaty of Versailles
1991 Collapse of Soviet Union
1999 Birth of Allen Fischer
2000 Y2K; End of Millenium
2002 Birth of Jacob Fischer
2020 Allen visited Cebu
2022 Russia's Military Operation
2111

All Patterns of Mahjong Hand

Only counting 対々.

All 1,391,280
混一色 65,520
清一色 1,890
字一色 105
清老 30
四連刻 540
大三元 930
小四喜 120
大四喜 30
大三元&字一色 12
小四喜&字一色 12
大四喜&字一色 3
清老&三同刻 12

Series of “Nine Gates”

九連宝灯 / 八連宝灯 / 七連宝灯.

Tiles # of waits # of waits (including 5th tiles) # of waits (including 5th tiles, 0, and 10) # of waiting tiles
1112345678999 9 9 11 23
1233334567888 8 9 10 23
2333344567888 8 9 9 23
1112345666678 8 9 10 23
2223456777 + 9999 8 8 8 22
2344445666678 7 9 9 23
2333345677778 7 7 7 23

Tiles from 2nd to 5th rows can be reversed.

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