User:Inthar/Ternary billiard words of length at most 31: Difference between revisions

The following are rotationally non-equivalent ternary [[billiard scales]] ax by cz of length at most 31, where a ≥ b ≥ c and gcd(a, b, c) = 1.  

== 1x1y1z ==

== 2x1y1z ==

== 2x2y1z ==

== 3x1y1z ==

== 3x2y1z ==

== 3x2y2z ==

== 3x3y1z ==

== 3x3y2z ==

# zxxyxxy

== 4x3y1z ==

== 4x3y2z ==

# xxzyxzyxzy

== 4x4y1z ==

# zxxyxxxy

== 5x2y2z ==

== 5x3y1z ==

== 5x3y2z ==

# xzxyxxzyxy

# xzxyxzxyxy

# xzxyxzyxxy

# xxzyxxzyxzy

== 5x4y1z ==

== 5x4y2z ==

== 5x4y3z ==

# xzxyxzyxzyxy

# xzxyzxyxzyxy

# xzyxzxyxzyxy

# zxxyzxyxzyxy

# zxyxzxyxzyxy

# zxyxzyxxzyxy

# zxyxyxyxyxy

== 5x5y2z ==

# xzyxzyxyxzyxy

# zxyxzyxyzxyxy

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# xxxxzxxxy

# xxxzxxxxy

# xxzxxxxxy

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# zxxxxxxxy

== 7x2y1z ==

# xxxxzyxxxy

# xxxzxyxxxy

# xxxzyxxxxy

# xxzxxyxxxy

# xxzxyxxxxy

# xzxxxyxxxy

# xzxxyxxxxy

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# zxxyxzxyxxxy

== 7x3y3z ==

# xzxxyxzxyxzxy

# xzxxyzxxyxzxy

# xzxxyzxxyzxxy

# zxxxyzxxyzxxy

# zxyxxyxxyxxy

== 7x4y2z ==

# xxzyxxzyxxzyxzy

== 7x5y1z ==

== 7x5y2z ==

# xzxyxyxxzyxyxy

# xzxyxyxzxyxyxy

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# xxzyxzyxxzyxzyxzy

== 7x6y1z ==

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# xzxyzxyzxyxzyxzyxzy

# xzxyzxyxzyxzyxzyxzy

# xzxyxzyxzyxzyxzyxzy

# xxzyxzyxzyxzyxzyxzy

== 7x7y1z ==

# xzyxyxyxyxyxyxy

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