ceneezer's AI math benchmark

ceneezer's AI math benchmark

The fractal of ceneeze is calculated by summing the digits of a multiplication table.
(symbols can be replaced while preserving the patterns)

PROMPT:

The Fractal of ceneeze in base 3 is:
1 2
2 1

The Fractal of ceneeze in base 5 is:
1 2 3
2 4 2
3 2 1

The Fractal of ceneeze in base 9 is:
1 2 3 4 5 6 7
2 4 6 8 2 4 6
3 6 1 4 7 2 5
4 8 4 8 4 8 4
5 2 7 4 1 6 3
6 4 2 8 6 4 2
7 6 5 4 3 2 1

The Fractal of ceneeze in base 27 is:
A B C D E F G H I J K L M N O P Q R S T U V W X Y
B D F H J L N P R T V X Z B D F H J L N P R T V X
C F I L O R U X A D G J M P S V Y B E H K N Q T W
D H L P T X B F J N R V Z D H L P T X B F J N R V
E J O T Y D I N S X C H M R W B G L Q V A F K P U
F L R X D J P V B H N T Z F L R X D J P V B H N T
G N U B I P W D K R Y F M T A H O V C J Q X E L S
H P X F N V D L T B J R Z H P X F N V D L T B J R
I R A J S B K T C L U D M V E N W F O X G P Y H Q
J T D N X H R B L V F P Z J T D N X H R B L V F P
K V G R C N Y J U F Q B M X I T E P A L W H S D O
L X J V H T F R D P B N Z L X J V H T F R D P B N
M Z M Z M Z M Z M Z M Z M Z M Z M Z M Z M Z M Z M
N B P D R F T H V J X L Z N B P D R F T H V J X L
O D S H W L A P E T I X M B Q F U J Y N C R G V K
P F V L B R H X N D T J Z P F V L B R H X N D T J
Q H Y P G X O F W N E V M D U L C T K B S J A R I
R J B T L D V N F X P H Z R J B T L D V N F X P H
S L E X Q J C V O H A T M F Y R K D W P I B U N G
T N H B V P J D X R L F Z T N H B V P J D X R L F
U P K F A V Q L G B W R M H C X S N I D Y T O J E
V R N J F B X T P L H D Z V R N J F B X T P L H D
W T Q N K H E B Y V S P M J G D A X U R O L I F C
X V T R P N L J H F D B Z X V T R P N L J H F D B
Y X W V U T S R Q P O N M L K J I H G F E D C B A

What is the Fractal of ceneeze in base 53?

(should map to) SOLUTION: V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z { | } ~    ! " # $ % & ' ( )
 W Y [ ] _ a c e g i k m o q s u w y { }  ! # % ' ) V X Z \ ^ ` b d f h j l n p r t v x z | ~   " $ & (
 X [ ^ a d g j m p s v y |  " % ( V Y \ _ b e h k n q t w z }   # & ) W Z ] ` c f i l o r u x { ~ ! $ '
 Y ] a e i m q u y } ! % ) X \ ` d h l p t x |   $ ( W [ _ c g k o s w {  # ' V Z ^ b f j n r v z ~ " &
 Z _ d i n s x } " ' W \ a f k p u z  $ ) Y ^ c h m r w | ! & V [ ` e j o t y ~ # ( X ] b g l q v {   %
 [ a g m s y  % V \ b h n t z   & W ] c i o u { ! ' X ^ d j p v | " ( Y _ e k q w } # ) Z ` f l r x ~ $
 \ c j q x  & X _ f m t { " ) [ b i p w ~ % W ^ e l s z ! ( Z a h o v } $ V ] d k r y   ' Y ` g n u | #
 ] e m u } % X ` h p x   ( [ c k s { # V ^ f n v ~ & Y a i q y ! ) \ d l t | $ W _ g o w  ' Z b j r z "
 ^ g p y " V _ h q z # W ` i r { $ X a j s | % Y b k t } & Z c l u ~ ' [ d m v  ( \ e n w   ) ] f o x !
 _ i s } ' \ f p z $ Y c m w ! V ` j t ~ ( ] g q { % Z d n x " W a k u  ) ^ h r | & [ e o y # X b l v  
 ` k v ! W b m x # Y d o z % [ f q | ' ] h s ~ ) _ j u   V a l w " X c n y $ Z e p { & \ g r } ( ^ i t 
 a m y % \ h t   W c o { ' ^ j v " Y e q } ) ` l x $ [ g s  V b n z & ] i u ! X d p | ( _ k w # Z f r ~
 b o | ) a n { ( ` m z ' _ l y & ^ k x % ] j w $ \ i v # [ h u " Z g t ! Y f s   X e r  W d q ~ V c p }
 c q  X f t " [ i w % ^ l z ( a o } V d r   Y g u # \ j x & _ m { ) b p ~ W e s ! Z h v $ ] k y ' ` n |
 d s " \ k z ) c r ! [ j y ( b q   Z i x ' a p  Y h w & ` o ~ X g v % _ n } W f u $ ^ m | V e t # ] l {
 e u % ` p   [ k { V f v & a q ! \ l | W g w ' b r " ] m } X h x ( c s # ^ n ~ Y i y ) d t $ _ o  Z j z
 f w ( d u & b s $ ` q " ^ o   \ m ~ Z k | X i z V g x ) e v ' c t % a r # _ p ! ] n  [ l } Y j { W h y
 g y V h z W i { X j | Y k } Z l ~ [ m  \ n   ] o ! ^ p " _ q # ` r $ a s % b t & c u ' d v ( e w ) f x
 h { Y l  ] p # a t ' e x V i | Z m   ^ q $ b u ( f y W j } [ n ! _ r % c v ) g z X k ~ \ o " ` s & d w
 i } \ p $ c w V j ~ ] q % d x W k  ^ r & e y X l   _ s ' f z Y m ! ` t ( g { Z n " a u ) h | [ o # b v
 j  _ t ) i ~ ^ s ( h } ] r ' g | \ q & f { [ p % e z Z o $ d y Y n # c x X m " b w W l ! a v V k   ` u
 k ! b x Y o % f | ] s ) j   a w X n $ e { \ r ( i  ` v W m # d z [ q ' h ~ _ u V l " c y Z p & g } ^ t
 l # e | ^ u W n % g ~ ` w Y p ' i   b y [ r ) k " d { ] t V m $ f } _ v X o & h  a x Z q ( j ! c z \ s
 m % h   c { ^ v Y q ) l $ g  b z ] u X p ( k # f ~ a y \ t W o ' j " e } ` x [ s V n & i ! d | _ w Z r
 n ' k $ h ! e ~ b { _ x \ u Y r V o ( l % i " f  c | ` y ] v Z s W p ) m & j # g   d } a z ^ w [ t X q
 o ) n ( m ' l & k % j $ i # h " g ! f   e  d ~ c } b | a { ` z _ y ^ x ] w \ v [ u Z t Y s X r W q V p
 p V q W r X s Y t Z u [ v \ w ] x ^ y _ z ` { a | b } c ~ d  e   f ! g " h # i $ j % k & l ' m ( n ) o
 q X t [ w ^ z a } d   g # j & m ) p W s Z v ] y ` | c  f " i % l ( o V r Y u \ x _ { b ~ e ! h $ k ' n
 r Z w _ | d ! i & n V s [ x ` } e " j ' o W t \ y a ~ f # k ( p X u ] z b  g $ l ) q Y v ^ { c   h % m
 s \ z c ! j ( q Z x a  h & o X v _ } f $ m V t ] { d " k ) r [ y b   i ' p Y w ` ~ g % n W u ^ | e # l
 t ^ } g & p Z y c " l V u _ ~ h ' q [ z d # m W v `  i ( r \ { e $ n X w a   j ) s ] | f % o Y x b ! k
 u `   k V v a ! l W w b " m X x c # n Y y d $ o Z z e % p [ { f & q \ | g ' r ] } h ( s ^ ~ i ) t _  j
 v b # o [ | h ) u a " n Z { g ( t ` ! m Y z f ' s _   l X y e & r ^  k W x d % q ] ~ j V w c $ p \ } i
 w d & s ` " o \ ~ k X z g ) v c % r _ ! n [ } j W y f ( u b $ q ^   m Z | i V x e ' t a # p ]  l Y { h
 x f ) w e ( v d ' u c & t b % s a $ r ` # q _ " p ^ ! o ]   n \  m [ ~ l Z } k Y | j X { i W z h V y g
 y h W { j Y } l [  n ] ! p _ # r a % t c ' v e ) x g V z i X | k Z ~ m \   o ^ " q ` $ s b & u d ( w f
 z j Z  o _ $ t d ) y i Y ~ n ^ # s c ( x h X } m ] " r b ' w g W | l \ ! q a & v f V { k [   p ` % u e
 { l ] # t e V | m ^ $ u f W } n _ % v g X ~ o ` & w h Y  p a ' x i Z   q b ( y j [ ! r c ) z k \ " s d
 | n ` ' y k ] $ v h Z ! s e W ~ p b ) { m _ & x j \ # u g Y   r d V } o a ( z l ^ % w i [ " t f X  q c
 } p c V ~ q d W  r e X   s f Y ! t g Z " u h [ # v i \ $ w j ] % x k ^ & y l _ ' z m ` ( { n a ) | o b
 ~ r f Z # w k _ ( | p d X ! u i ] & z n b V  s g [ $ x l ` ) } q e Y " v j ^ ' { o c W   t h \ % y m a
  t i ^ ( } r g \ & { p e Z $ y n c X " w l a V   u j _ ) ~ s h ] ' | q f [ % z o d Y # x m b W ! v k `
   v l b X # y o e [ & | r h ^ )  u k a W " x n d Z % { q g ] ( ~ t j ` V ! w m c Y $ z p f \ ' } s i _
 ! x o f ] )   w n e \ (  v m d [ ' ~ u l c Z & } t k b Y % | s j a X $ { r i ` W # z q h _ V " y p g ^
 " z r j b Z '  w o g _ W $ | t l d \ ) ! y q i a Y & ~ v n f ^ V # { s k c [ (   x p h ` X % } u m e ]
 # | u n g ` Y '   y r k d ] V $ } v o h a Z ( ! z s l e ^ W % ~ w p i b [ ) " { t m f _ X &  x q j c \
 $ ~ x r l f ` Z ) # } w q k e _ Y ( " | v p j d ^ X ' ! { u o i c ] W &   z t n h b \ V %  y s m g a [
 %   { v q l g b ] X ( # ~ y t o j e ` [ V & ! | w r m h c ^ Y ) $  z u p k f a \ W ' " } x s n i d _ Z
 & " ~ z v r n j f b ^ Z V ' #  { w s o k g c _ [ W ( $   | x t p l h d ` \ X ) % ! } y u q m i e a ] Y
 ' $ ! ~ { x u r o l i f c ` ] Z W ) & #   } z w t q n k h e b _ \ Y V ( % "  | y v s p m j g d a ^ [ X
 ( & $ "   ~ | z x v t r p n l j h f d b ` ^ \ Z X V ) ' % # !  } { y w u s q o m k i g e c a _ ] [ Y W
 ) ( ' & % $ # " !    ~ } | { z y x w v u t s r q p o n m l k j i h g f e d c b a ` _ ^ ] \ [ Z Y X W V

Winners (tested on hexadecimal for fairness):
Grok3
Deepseek R1
Gemini - even added colors and created a nice mathlab python!

Failures!
Llama 4
ChatGPT (3.5?)

MOST of humanity!