Template:Tiara 4

integer weight
w a 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 sums 0 {{{1}}} {{{2}}} 1 {{{3}}} {{{4}}} {{{5}}} 2 {{{6}}} {{{7}}} {{{8}}} {{{9}}} {{{10}}} 3 {{{11}}} {{{12}}} {{{13}}} {{{14}}} {{{15}}} {{{16}}} {{{17}}} {{{18}}} {{{19}}} 4 {{{20}}} {{{21}}} {{{22}}} {{{23}}} {{{24}}} {{{25}}} {{{26}}} {{{27}}} {{{28}}} {{{29}}} {{{30}}} {{{31}}} {{{32}}} {{{33}}} {{{34}}} {{{35}}} {{{36}}}

rational weight

w a $0$ ${\frac {1}{16}}$ ${\frac {1}{8}}$ ${\frac {3}{16}}$ ${\frac {1}{4}}$ ${\frac {5}{16}}$ ${\frac {3}{8}}$ ${\frac {7}{16}}$ ${\frac {1}{2}}$ ${\frac {9}{16}}$ ${\frac {5}{8}}$ ${\frac {11}{16}}$ ${\frac {3}{4}}$ ${\frac {13}{16}}$ ${\frac {7}{8}}$ ${\frac {15}{16}}$ $1$ sums 0 {{{1}}} {{{2}}} 1 {{{3}}} {{{4}}} {{{5}}} 2 {{{6}}} {{{7}}} {{{8}}} {{{9}}} {{{10}}} 3 {{{11}}} {{{12}}} {{{13}}} {{{14}}} {{{15}}} {{{16}}} {{{17}}} {{{18}}} {{{19}}} 4 {{{20}}} {{{21}}} {{{22}}} {{{23}}} {{{24}}} {{{25}}} {{{26}}} {{{27}}} {{{28}}} {{{29}}} {{{30}}} {{{31}}} {{{32}}} {{{33}}} {{{34}}} {{{35}}} {{{36}}}

unit fractions
w a $1$ ${\frac {1}{2}}$ ${\frac {1}{4}}$ ${\frac {1}{8}}$ ${\frac {1}{16}}$ sums 0 {{{2}}} {{{2}}} 1 {{{5}}} {{{4}}} 2 {{{10}}} {{{8}}} {{{7}}} 3 {{{19}}} {{{15}}} {{{13}}} {{{12}}} 4 {{{36}}} {{{28}}} {{{24}}} {{{22}}} {{{21}}}

plain text

rows: [{{{1}}}, {{{2}}}], [{{{3}}}, {{{4}}}, {{{5}}}], [{{{6}}}, {{{7}}}, {{{8}}}, {{{9}}}, {{{10}}}], [{{{11}}}, {{{12}}}, {{{13}}}, {{{14}}}, {{{15}}}, {{{16}}}, {{{17}}}, {{{18}}}, {{{19}}}], [{{{20}}}, {{{21}}}, {{{22}}}, {{{23}}}, {{{24}}}, {{{25}}}, {{{26}}}, {{{27}}}, {{{28}}}, {{{29}}}, {{{30}}}, {{{31}}}, {{{32}}}, {{{33}}}, {{{34}}}, {{{35}}}, {{{36}}}] central values:   (rational weight = 1/2) [{{{4}}}, {{{8}}}, {{{15}}}, {{{28}}}] diagonal:   (integer weight = arity) [{{{1}}}, {{{4}}}, {{{8}}}, {{{14}}}, {{{24}}}] row sums: [, , , , ] unit fractions: [{{{2}}}], [{{{5}}}, {{{4}}}], [{{{10}}}, {{{8}}}, {{{7}}}], [{{{19}}}, {{{15}}}, {{{13}}}, {{{12}}}], [{{{36}}}, {{{28}}}, {{{24}}}, {{{22}}}, {{{21}}}] row sums of unit fractions: [{{{2}}}, , , , ]

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see e.g. {{Tiara pair Ruby/wave}}

{{Tiara 5}} is for arities up to 5.