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 31?

(should map to) SOLUTION:
 @ 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 [ \ ]
 A C E G I K M O Q S U W Y [ ] @ B D F H J L N P R T V X Z \
 B E H K N Q T W Z ] A D G J M P S V Y \ @ C F I L O R U X [
 C G K O S W [ @ D H L P T X \ A E I M Q U Y ] B F J N R V Z
 D I N S X ] C H M R W \ B G L Q V [ A F K P U Z @ E J O T Y
 E K Q W ] D J P V \ C I O U [ B H N T Z A G M S Y @ F L R X
 F M T [ C J Q X @ G N U \ D K R Y A H O V ] E L S Z B I P W
 G O W @ H P X A I Q Y B J R Z C K S [ D L T \ E M U ] F N V
 H Q Z D M V @ I R [ E N W A J S \ F O X B K T ] G P Y C L U
 I S ] H R \ G Q [ F P Z E O Y D N X C M W B L V A K U @ J T
 J U A L W C N Y E P [ G R ] I T @ K V B M X D O Z F Q \ H S
 K W D P \ I U B N Z G S @ L X E Q ] J V C O [ H T A M Y F R
 L Y G T B O \ J W E R @ M Z H U C P ] K X F S A N [ I V D Q
 M [ J X G U D R A O ] L Z I W F T C Q @ N \ K Y H V E S B P
 N ] M \ L [ K Z J Y I X H W G V F U E T D S C R B Q A P @ O
 O @ P A Q B R C S D T E U F V G W H X I Y J Z K [ L \ M ] N
 P B S E V H Y K \ N @ Q C T F W I Z L ] O A R D U G X J [ M
 Q D V I [ N A S F X K ] P C U H Z M @ R E W J \ O B T G Y L
 R F Y M A T H [ O C V J ] Q E X L @ S G Z N B U I \ P D W K
 S H \ Q F Z O D X M B V K @ T I ] R G [ P E Y N C W L A U J
 T J @ U K A V L B W M C X N D Y O E Z P F [ Q G \ R H ] S I
 U L C Y P G ] T K B X O F \ S J A W N E [ R I @ V M D Z Q H
 V N F ] U M E \ T L D [ S K C Z R J B Y Q I A X P H @ W O G
 W P I B Z S L E ] V O H A Y R K D \ U N G @ X Q J C [ T M F
 X R L F @ Y S M G A Z T N H B [ U O I C \ V P J D ] W Q K E
 Y T O J E @ Z U P K F A [ V Q L G B \ W R M H C ] X S N I D
 Z V R N J F B ] Y U Q M I E A \ X T P L H D @ [ W S O K G C
 [ X U R O L I F C @ \ Y V S P M J G D A ] Z W T Q N K H E B
 \ Z X V T R P N L J H F D B @ ] [ Y W U S Q O M K I G E C A
 ] \ [ 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 @

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!