Map 913 The Cube of DNA and its matching Cube

This is a set of all 64 codons in Hexagram order each pair of hexagrams makes a cube GGG can be seen above and its shadow or rear view is three blue sides for CCC all pairs of hexagrams make up a cube but they also have a matching pair which create the other cube by flipping the original over from left to right and then top to bottom. So only 40 codes are required.

List of Codons and their matching partner, some have no match, some have a matching cube, with just one match of four codons to one cube only. 

1/2 GGG – CCC No other

3/4 CAT – ATC - 39/40 CTA – TAC

5/6 AGA – TGT -  No other

7/8 CAC – CTC       “

9/10 AGG – GGT - 43/44 GGA – TGG

11/12 AAA – TTT -  No other

13/14 GTG – GAG -         “

15/16 CCA – TCC -   24/23 ACC – CCT Reverse Hex

17/18 GTC – CAG -   53/4 CTG – GAC

19/20 AAC - CTT  - 46/45 CAA – TTC Reverse Hex

21/22 GCT – ACG  - 56/55 TCG – GCA Reverse Hex

25/26 GTT – AAG  - 33/34 TTG – GAA

27/28 ACT – TGA  - 62/61 TCA – AGT Reverse Hex

29/30 CGC – GCG  - No other

31/32 TTA – TAA -   42/41 ATT – AAT Reverse Hex

35/36 TCT – ACA -   No other

37/38 ATG – GAT -   49/50 GTA – TAG

47/48 TGC – CGA -   59/60 CGT – AGC

51/52 GCC – CCG  -  Matches itself

57/58 CGG – GGC              “

63/64 ATA – TAT  -   No other 

The 20 cubes required to make the above can also be further reduced so that only four cubes are required. Oh what a simple world. x