Wednesday, May 16, 2018

pattern - What is a Bumpy Word™?


This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.




If a word has a certain property, I call it a Bumpy Word™.



You can use the examples below to find the property:


Bumpy Words™Not Bumpy Words™ARMYNAVYBUMPINGJERKINGCABALCONSPIRACYCHASERPURSUERCOALESCESOLIDIFYCOMPOSITEDIVERSECRANKTURNCRAZYINSANEEXAMINATIONTESTFERALUNCIVILIZEDHIGHERGREATERJUMPINGLEAPINGORATORSPEAKERQUALITATIVESUBJECTIVESQUASHCRUSHTHRASHSPASMTRUSTINGBELIEVINGUPWARDSKYBOUNDVAULTINGCAVERNOUSWELDEDFUSED


For those without MathJax, or if you want to pop this into a spreadsheet, here is a CSV version:


Bumpy™,Not Bumpy™
ARMY,NAVY
BUMPING,JERKING
CABAL,CONSPIRACY
CHASER,PURSUER
COALESCE,SOLIDIFY
COMPOSITE,DIVERSE

CRANK,TURN
CRAZY,INSANE
EXAMINATION,TEST
FERAL,UNCIVILIZED
HIGHER,GREATER
JUMPING,LEAPING
ORATOR,SPEAKER
QUALITATIVE,SUBJECTIVE
SQUASH,CRUSH
THRASH,SPASM

TRUSTING,BELIEVING
UPWARD,SKYBOUND
VAULTING,CAVERNOUS
WELDED,FUSED

Answer



In a word,



If a letter occurs (in the alphabet) later than the previous letter in the word, let us call it a "rise", otherwise, it's called a "fall". Note that the first letter of a word is neither of these.



Then a Bumpy word is




A word in which "rise"s and "fall"s occur alternately.



Example:



A,R(rise),M(fall),Y(rise) | N,A(fall),V(rise),Y(rise).



Why "Bumpy"?



For a Bumpy word, imagine plotting the letter-indexes in the order they occur in the word. For example, "BUMPING" would be plotted as follows:

enter image description here
Alternation between "rise" and "fall" obviously means that the graph is more "uneven" or "bumpy".



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