User blog:Ikosarakt1/Examples for Bird's array notation

This blog post is devoted to clarify the process of solving Chris Bird's array notation.

Trientrical arrays
{3,3,3} = {3,{3,2,3},2} = {3,{3,{3,1,3},2},2} = {3,{3,3,2},2}

{3,3,4} = {3,{3,2,4},3} = {3,{3,{3,1,4},3,3} = {3,{3,3,3},3}

Tetrentrical arrays
{3,3,1,2} = {3,3,{3,2,1,2},1} = {3,3,{3,2,1,2}} =

= {3,3,{3,3,{3,1,1,2},1}} = {3,3,{3,3,3,1}} = {3,3,{3,3,3}}

--

{3,3,2,2} = {3,{3,2,2,2},1,2} = {3,{3,{3,1,2,2},1,2},1,2} = {3,{3,3,1,2},1,2}

{3,3,1,3} = {3,3,{3,2,1,3},2} = {3,3,{3,3,{3,1,1,3},2},2} = {3,3,{3,3,3,2},2}

{3,3,2,3} = {3,{3,2,2,3},1,3} = {3,{3,{3,1,2,3},1,3},1,3} = {3,{3,3,1,3},1,3}

Going past 4 entries
{3,3,1,1,5} = {3,3,3,{3,2,1,1,5},4} = {3,3,3,{3,3,3,{3,1,1,1,5},4},4} =

= {3,3,3,{3,3,3,3,4},4}

--

{3,3,1,1,1,4} = {3,3,3,3,{3,2,1,1,1,4},3} = {3,3,3,3,{3,3,3,3,{3,1,1,1,1,4},3},3} = {3,3,3,3,{3,3,3,3,3,3},3}

2-row arrays
{3,7 [2] 2} = {3,3,3,3,3,3,3}

{3,3,2 [2] 2} = {3,{3,2,2 [2] 2} [2] 2} = {3,{3,{3,1,2 [2] 2} [2] 2} [2] 2} = {3,{3,3 [2] 2} [2] 2} = {3,{3,3,3} [2] 2} = {3,3,3,...,3,3,3} (with {3,3,3} 3's)