builder for a Dobble-like deck

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+Dobble http://images.math.cnrs.fr/Dobble-et-la-geometrie-finie.html
+
+projective finite plane based on ℤ₇
+
+one point per card, one line per symbol, two points per line, 7+1
+lines per point
+
+cards: 7² (point pairs) + 7 (parallel lines) + 1 (extra parallel, the
+"vertical" one) (???)
+
+-------
+
+let's try ℤ₃p
+
+(0,0) (1,0) (2,0) | (i,0)
+(0,1) (1,1) (2,1) | (i,1)
+(0,2) (1,2) (2,2) | (i,2)
+------------------+
+(0,i)
+
+[a] x=0    (0,0) (0,1) (0,2) (0,i)
+[b] x=1    (1,0) (1,1) (1,2) (0,i)
+[c] x=2    (2,0) (2,1) (2,2) (0,i)
+[d] y=0    (0,0) (1,0) (2,0) (i,0)
+[e] y=1    (0,1) (1,1) (2,1) (i,0)
+[f] y=2    (0,2) (1,2) (2,2) (i,0)
+[g] x+y=0  (0,0) (1,2) (2,1) (i,1)
+[h] x+y=1  (0,1) (1,0) (2,2) (i,1)
+[i] x+y=2  (0,2) (1,1) (2,0) (i,1)
+[j] x+2y=0 (0,0) (1,1) (2,2) (i,2)
+[k] x+2y=1 (0,2) (1,0) (2,1) (i,2)
+[l] x+2y=2 (0,1) (1,2) (2,0) (i,2)
+[m] x+y=i  (i,0) (i,1) (i,2) (0,i)
+
+13 lines=symbols, 13 point=cards
+
+card  symbols
+----- -------
+(0,0) a  d  g  j
+(0,1) a   e  h   l
+(0,2) a    f  i k
+(0,i) abc         m
+(1,0)  b d   h  k
+(1,1)  b  e   ij
+(1,2)  b   fg    l
+(2,0)   cd    i  l
+(2,1)   c e g   k
+(2,2)   c  f h j
+(i,0)    def      m
+(i,1)       ghi   m
+(i,2)          jklm
+
+
+in "my" order:
+
+(i,2)          jklm
+(i,1)       hgi   m
+(i,0)    efd      m
+(0,i) abc         m
+(2,0)   c  d  i  l
+(1,2)  b  f  g   l
+(0,1) a  e  h    l
+(2,1)   ce   g  k
+(1,0)  b   dh   k
+(0,2) a   f   i k
+(2,2)   c f h  j
+(1,1)  b e    ij
+(0,0) a    d g j