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Yes, affine is in the scrabble dictionary

...and is worth 13 points by itself.

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Affine Definition

noun

A relative by marriage .
from Free Scrabble Dictionary

adjective

Mathematics Of or relating to a transformation of coordinates that is equivalent to a linear transformation followed by a translation.
from The American Heritage Dictionary of the English Language, 4th Edition
Mathematics Of or relating to the geometry of affine transformations.
from The American Heritage Dictionary of the English Language, 4th Edition
Of, relating to, or being a transformation (as a translation, a rotation, or a uniform stretching) that carries straight lines into straight lines and parallel lines into parallel lines but may alter distance between points and angles between lines .
from Free Scrabble Dictionary

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Top Words by points

Points
affine

12

2 letter words with AFFINE

Points

ai

2

an

2

ne

2

na

2

in

2

ef

5

en

2

if

5

fa

5

fe

5

ae

2

3 letter words with AFFINE

Points

fin

6

nae

3

iff

9

fie

6

fan

6

fen

6

aff

9

eff

9

ain

3

ani

3

ane

3

4 letter words with AFFINE

Points

niff

10

neif

7

naif

7

naff

10

fine

7

fife

10

fief

10

fane

7

fain

7

6 letter words with AFFINE

Points

affine

12

Found 32 words in 0.18623 seconds