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Muppythagorean Triplets


Max Coins are an interesting series of numbers, and fairly simple. Each Muppets has a non-unique Base Number to identify their Max Tables.
The Single-dressers have numbers 5 through 8.
Double-Dressers have numbers 16 through 34 by 2's.
Triple-dressers have numbers 38 through 54 by 2's.

The actual Max Coin value is a function of the Muppets Base Number (BN) multiplied by 40 times Muppet level (LV) plus 10, or:

BN x [(LEVEL X 40) + 10]

This means that all Level 1 Muppets have maxes that are multiples of 50.
Similarly, all Muppet Maxes at Level 15 are multiples of 610. (15 x 40 plus 10.)
Sometimes the logic behind the game will help puzzle out better gameplay. Sometimes it gives smarty-Artie's something to talk about instead of the weather. And sometimes it produces strange statements like this:

Max Coins
Pythagorica

In the Kitchen; using the Max Coins of 3 Muppets at the same level - any level - but the same level; VEGGIES SQUARED plus WALTER SQUARED equals ZOOT SQUARED. This is the classic Pythagorean Theorem where A^2 + B^2 = C^2.

By way of for-instance: in the Kitchen at Level 8:

Muppets Base Number Level 8 Max Coins Max Coins Squared
Veggies 30 9,900 Coins 98,010,000
PLUS
Walter 40 13,200 Coins 174,240,000
EQUALS
Zoot 50 16,500 Coins 272,250,000


Can anyone find another Muppythagorean Triplet, on a single Stage using Max Coins?

Start with simple Pythagorean Triplets like 3-4-5 or 5-12-13 and multiply each of the three numbers by any other (low!) number to form larger triplets, (like 6-8-10; 9-12-15) and find Muppets with those same Base Numbers (BNs).

Muppets Listed by the Max Coins - Base Number (BN)

BN Level 15, 4 Like.heart

Max Coins

Muppet Theater Kitchen Rooftop The Ship Big House
Single Dressing Room Occupying Muppets
5 3,050 Sam Eagle Floyd Rowlf
6



3,660



Animal

Floyd

Animal



Animal

Dr. Teeth

The Newsman



Animal

Floyd
Rowlf

7 4,270 Rowlf Rowlf Rowlf Swedish Chef
8


4,880


Swedish Chef


Swedish Chef


1880's Robot

Swedish Chef

Double Dressing Room Occupying Muppets
16 9,760 Big Mo
18 10,980 Rats
20 12,200 D. Clapper
22 13,420 Strumley
24 16,640 Snowth
26


15,860


Divettes


Kizzy


D. Clapper

Bloosman

28


17,080


Strumley


Strumley


Boomer

M. Bellows

Snowth

Big Mo

30



18,300



Divettes

Veggies

Veggies



Chickens



Chickens

D. Clapper
Rats

32


19,520


Big Mo


Kizzy

Snowth

Kizzy


Kizzy


34


20,740


Chickens


H. Thump

Rats

Triple Dressing Room Occupying Muppets
38 23,180 Kermit
40 24,400 Walter
42


25,620


Kermit

Zoot

Pepe


44


26,840


L Zealand

Gonzo

M. Mahna


Camilla


M. Mahna

Rizzo

46




28,060




Beauregard

Janice
M. Mahna
Miss Piggy

Rizzo




Janice




Miss Piggy




Miss Piggy

Sweetums


48


29,280


Fozzie


Beaker


Kermit

Zoot

Fozzie


Constantine

Walter

50


30,500


M. Suggs

Zoot

Floyd


Crazy H

Kermit

Dr. Teeth


52 31,720 Beaker Sweetums Beaker
54 32,940 Gonzo Pepe


Advanced Class:Discovering Triplets


If you are following this bizarre train of thought, let me throw in one final bit of confusion. All Pythagorean Triplets can be developed with a simple relation - from 3-4-5 through 64-1023-1025 and beyond.

  • Choose two positive whole numbers, where P>Q
  • P and Q have no common factors
  • One number is Even, one number is Odd


The formula A^2 + B^2 = C^2 is satisfied where the following is true:

  • A=2PQ
  • B=P^2 - Q^2
  • C=P^2 + Q^2


Try P=2 and Q=1. What are A, B, and C?

There Are Really Only 16 Different Rate Tables


In total there are only 16 different Rates Tables for all Muppets, easily identified by their initial Level 1, zero-Like.heart Rate which range from 2 Coins (Muppet Theater : Durwood Clapper) to 17 Coins (The Ship : Sweetums). Just divide the highest Rate (Level 15, 4Like.heart) by 17 to get the (more or less) lowest rate - if you take Camilla's rate of 221 and divide by 17 you get 13 - her initial Level-1, zero-Like.heart Rate.

Rate Tables: they are predictable and based on a fairly simple formula. Rather than lay out the formulas yet, (they are complicated by rounding twice) I'll 'predict' the next table to be created with a Level 1 Zero-Like.heart Rate of 18 Coins and highest Rate of 306.

Maybe it will come back to haunt me - like Alice Cooper's band, The Vile Bunch in The Muppet Show - but I'll guess that this chart will be the Rate for, maybe, the next Special Edition Muppet on The Ship.

Level 0% Happiness 25% Happiness 50% Happiness 75% Happiness 100% Happiness
1 18 19 21 23 25
2 32 35 38 41 44
3 46 50 55 59 64
4 61 67 73 79 85
5 75 82 90 97 105
6 90 99 108 117 126
7 104 114 124 135 145
8 118 129 141 153 165
9 133 146 159 172 186
10 147 161 176 191 205
11 162 178 194 210 226
12 176 193 211 228 246
13 190 209 228 247 266
14 205 225 246 266 287
15 219 240 262 284 306

CV