I would suggest that a three-dimensional representation would be an even better model. All you need if you want to build a model yourself at home is a couple of molecular building block kits. Make sure that you have blocks that allow for tetra- and penta-valent binding (e.g. carbon atoms in normal and transitional state).
Start with a tetravalent-binding block at the centre to get the tetrahedrical base, use the binding elements to represent A, G, C, and U and continue with the pentavalent-binding blocks until you reach the level of amino acids where you then can use different coloured blocks to symbolise the individual amino acids.
This approach lets you bring amino acid codons that seemed at opposite poles into close proximity (e.g. K and R or F and Y). I know, it may look confusing to begin with, but it adds another layer of information. The categories for grouping the amino acid codons on www.rna-game.org are after all somewhat subjective (non-polar, transitional, special, polar), maybe there are other categories that should be used to group the codons.
I guess what I mean to say is, have fun. Of course sincerety and truth remain the essence of science and empirical and rational thinking are the backbone of this line of work, but intuition and a sense of wonder are crucial elements as well.
The graphs on www.rna-game.org and blog.rna-game.org are distorted two-dimensional maps of the genetic code in three dimensions as shown above.

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