http://www.thepetersengraph.com/checkmate.html

I have no idea how to solve this one.

You try.

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I've solved Petals Around the Rose (http://www.thepetersengraph.com/patr.html) but this one feels impossible. I just can't see it.

I've even made a chart for all those that equal seven:

b a e a c aabce v
5 5 3 2 2
e e c b b bbcee v
2 4 2 6 4
b d b f d bbddf v
1 5 5 2 5
a e e b e aabee v
2 4 2 4 6
b d b d f bbddf v
5 4 4 2 1
e d d b a abdde v
6 5 2 4 2
f e b d b bbdef v
4 2 1 3 5
d b a c e abcde v
3 6 4 3 4
c f d c d ccddf v
3 1 4 2 3
c a d b c abccd v
2 5 5 4 5
b e e d e ddeee v
4 3 2 6 3
d c b f c bbccf v
3 2 3 3 4
c b c c d bcccd v
4 5 5 5 4
d e e e d ddeee v
1 5 1 5 2
a e a e b aabee v
3 6 3 4 1
c f c d a accdf v
3 6 4 3 4
c f d c d ccddf v
2 2 5 2 3
b b e b c bbbce v
3 1 5 4 2
c a e d b abcde v
4 5 3 5 1
d e c e a aeecd v
2 4 3 3 6
b d c c f bccdf v

gave them alphbetal values (incase ill see them easier...)
and place them in some order.

aabce
aabee
aabee
abccd
abcde
abcde
abdde
accdf
aeecd
bbbce
bbccf
bbcee
bbddf
bbddf
bbdef
bcccd
bccdf
ccddf
ccddf
ddeee
ddeee

and all I got is sometimes theres a 2 4 pattern when the dice equal 7