Skip to main content

Yes, there are others, such as the alternative $n=9$ example $$ \begin{array}{ccccc} &*& & & \cr & &*& &* \cr &*&*&*& \cr *& &*& & \cr & & &*& \end{array} $$and

$$\substack{ \displaystyle{◻◼◻◻◻} \cr \displaystyle{◻◻◼◻◼} \cr \displaystyle{◻◼◼◼◻} \cr \displaystyle{◼◻◼◻◻} \cr \displaystyle{◻◻◻◼◻} }$$

and this orthogonally connected example with $n=10$ (i.e. a dekomino (sp?)): $$ \begin{array}{cccccc} & &*&*& & \cr *&*&*&*&*&* \cr & &*&*& & \end{array} $$

$$\substack{ \displaystyle{◻◻◼◼◻◻} \cr \displaystyle{◼◼◼◼◼◼} \cr \displaystyle{◻◻◼◼◻◻} }$$

Yes, there are others, such as the alternative $n=9$ example $$ \begin{array}{ccccc} &*& & & \cr & &*& &* \cr &*&*&*& \cr *& &*& & \cr & & &*& \end{array} $$and this orthogonally connected example with $n=10$ (i.e. a dekomino (sp?)): $$ \begin{array}{cccccc} & &*&*& & \cr *&*&*&*&*&* \cr & &*&*& & \end{array} $$

Yes, there are others, such as the alternative $n=9$ example

$$\substack{ \displaystyle{◻◼◻◻◻} \cr \displaystyle{◻◻◼◻◼} \cr \displaystyle{◻◼◼◼◻} \cr \displaystyle{◼◻◼◻◻} \cr \displaystyle{◻◻◻◼◻} }$$

and this orthogonally connected example with $n=10$ (i.e. a dekomino (sp?)):

$$\substack{ \displaystyle{◻◻◼◼◻◻} \cr \displaystyle{◼◼◼◼◼◼} \cr \displaystyle{◻◻◼◼◻◻} }$$

Source Link
Noam D. Elkies
  • 79.9k
  • 15
  • 281
  • 376

Yes, there are others, such as the alternative $n=9$ example $$ \begin{array}{ccccc} &*& & & \cr & &*& &* \cr &*&*&*& \cr *& &*& & \cr & & &*& \end{array} $$and this orthogonally connected example with $n=10$ (i.e. a dekomino (sp?)): $$ \begin{array}{cccccc} & &*&*& & \cr *&*&*&*&*&* \cr & &*&*& & \end{array} $$