## 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:

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 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 | Animal
| Animal | The Newsman
| Animal |

7 | 4,270 | Rowlf | Rowlf | Rowlf | Swedish Chef | |

8
| 4,880
| Swedish Chef
| Swedish Chef
| 1880's Robot | ||

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 | ||

28
| 17,080
| Strumley
| Strumley
| Boomer | Snowth | |

30
| 18,300
| Divettes | Veggies
| Chickens
| Chickens | |

32
| 19,520
| Big Mo
| Kizzy | Kizzy
| Kizzy
| |

34
| 20,740
| Chickens
| H. Thump | |||

Triple Dressing Room Occupying Muppets | ||||||

38 | 23,180 | Kermit | ||||

40 | 24,400 | Walter | ||||

42
| 25,620
| Kermit | Pepe
| |||

44
| 26,840
| L Zealand | M. Mahna
| Camilla
| M. Mahna | |

46
| 28,060
| Beauregard | Rizzo
| Janice
| Miss Piggy
| Miss Piggy |

48
| 29,280
| Fozzie
| Beaker
| Kermit | Fozzie
| Constantine |

50
| 30,500
| M. Suggs | Floyd
| Crazy H | 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- Rate** which range from **2 Coins** (Muppet Theater : Durwood Clapper) to **17 Coins** (The Ship : Sweetums). Just divide the highest Rate (**Level 15, 4**) 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- 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- 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