Verification of the Seldeen Cardhouse Formula
Purpose: Scientific AmeriKen strays away
from typical science experiments this week to present a mathematical formula for
determining the number of cards required to build a certain level sized card
house. The formula, if proven true, can be a powerful ally in those seeking to
break the card house height record.
Hypothesis: The formula is based on the
assumption that the card house is a typical "A" framed card house.
Given this, it is hypothesized that the formula will yield total number of cards
required to build a certain story cardhouse.
Equipment: This experiment will require a
pen and paper, calculator is optional, and cards are optional as card houses can
be diagrammed.
Procedure: To prove the formula, one must
run a number through, and build either a card house or diagram a cardhouse. Then
compare the theoretical number of the formula with the actual number it took to
produce the card house. For this experiment, the numbers 1, 2, 3, 5, and 10 were
chosen. Each number will be processed as below...
5 levels = (2x1)+(2x2)+(2x3)+(2x4)+(2x5)+(1-1)+(2-1)+(3-1)+
(4-1)+(5-1)=2+4+6+8+10+1+2+3+4
= 40 cards needed...
Observations:
Number of Levels |
Formula Prediction |
Actual Number |
Cardhouse |
1 |
2 |
2 |
|
2 |
7 |
7 |
|
3 |
15 |
15 |
|
5 |
40 |
40 |
|
10 |
110 |
110 |
|
Conclusion: Given the data, the hypothesis
is confirmed, and the Seldeen Cardhouse formula accurately predicts the number
of cards that are needed to form a theoretical model "A" frame
cardhouse.
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