LOCATION (76, 655, 6??)

DOING TOM'S TWISTER

WITH LINEAR EQUATIONS

AT SIX FLAGS OVER MID-AMERICA

A key map to show the location of points and lines.
DOING THE TWIST

Consider using straight line equations y = m x + b, y - y1 = m ( x - x1) or
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1) to write the map location for Tom's Twister.
One person used the slope formula m = (y2 - y1)/(x2 - x1) with one of
the first two equations and had the following method:

1. Extend a line off two points of a coordinate map's T'sT wall to the nearest coordinate line.
2. Observe the point of intersection of this extended line and the coordinate line.
3. Guesstimate the coordinates for the point of intersection to get the ordered pair.
4. Repeat steps 2 and 3 in the other direction to get a second ordered pair.
5. Plug the ordered pairs into the slope definition, m above, to get the numerical value of the slope.
6. Use the point slope form, y - y1 = m ( x - x1) together with one of the points and the slope to arrive at the slope intercept form, hence a final equation.
Here are some results. 
LINES			
A	y=-12x+1250	y=-6x+1138	y=-9.3x+1578	y=-6.6x+1220
B	y=-12x+1150	y=-7x+1110.5	y=-7.25x+1372	y=-8x+1224
C	y=-12x+1100	y=-14x+1589	y=-11.5x+1767	y=-8x+1200
D	y=(1/12)x+590	y=0.1154x+586	y=0.11x+608	y=0.147x+581.25
E	y=-12x+1350	y=-2x+791	y=-12.5x+1872	y=-6.575x+1262.47
F	y=(1/12)x+610	y=0.0588x+613	y=0.18x+638	y=0.104x+607.52
G			y=0.0645x+641			y=0.146x+637.48
CIRCLE
T	(x-76)^2+(y-655)^2=289	(x-77)^2+(y-657)^2=144		
POINTS
1			(86, 618)	(97, 622)
2			(82, 646)	(85, 648)
3			(64.6, 645.3)	(69, 647)
4			(69.4, 617.1)	(70, 617)
5			(71.1, 594.2)	(72, 594)
6			(96.9, 597.2)	(99, 597)
7			(86.7, 618.1)	(88, 620)
8			(70.5, 617)	(73, 618)
P			(76, 655) R=17	(77, 657) R=12


Elevation F.F. 605 feet
More results. 
LINES	EQUATIONS		EQUATIONS	DISTANCE	EQUATIONS		
A	y=-(21/4)x+1149.25	y=-5x+1096	27 feet 	y=-(25/3)x+1350.25
B	y=-13x+1618		y=-6.25x+1095	25		y=-(25/3)x+1265.72	
C	y=-(21/4)x+1226		y=-12x+1506	24		y=-(25/3)x+1215	
D	y=(6/25)x+572.8		y=(1/7)x+584.1	25		y=(3/25)x+581	
E				y=-4.8x+1103	24		y=-(25/3)x+1426.3	
F	y=(6/25)x+594.76	y=(2/5)x+583	R=5 L=2		y=(3/25)x+606.36	
CIRCLE
T	(x-80)^2+(y-655)^2=49			(x-78.32)^2+(y-655.25)^2=225		
POINTS
1	(101, 619)		(100, 623)			(97, 618)
2	(87, 645)		(90, 646)			(85, 641.92)
3	(75, 643)		(72, 645)			(75, 640.72)
4	(76, 613)		(74, 618)			(72, 615)
5	(80, 592)		(76, 594)			(75, 590)
6	(105,598)		(105, 599)			(100, 593)
7	(88, 615)		(95, 621)			(88, 616.92)
8	(77.617)		(76, 620)			(78, 615.72)
P	(80, 655) R=7						(78.32, 655.25) R=15
Still more results. 
LINES			
A	y=-7.2x+1224	y=-(25/2)x+1300	y=-8x+1320	y=-6.6x+1220
B	y=-9x+1260	y=-(25/2)x+1220	y=-8x+1200	y=-8x+1224
C	y=-7x+960	y=-(25/2)x+1200	y=-8x+1185	y=-8x+1200
D	y=(1/9)x+586.7	y=(2/12)x+580	y=(1/8)x+585	y=0.147x+581.25
E	y=-8x+1360	y=-(25/2)x+1300	y=-8x+1380	y=-6.575x+1262.47
F	y=(1/18)x+606.7	y=(2/12)x+610	y=(1/8)x+609	y=0.104x+607.52
CIRCLE
T	(x-75)^2+(y-655)^2=225	(x-77)^2+(y-657)^2=144		
POINTS
1			(96.5, 618)	
2			(87, 644)	
3			(71.5, 643)	
4			(71, 616)	
5			(74.5, 592)	
6			(100, 594)	
7			(90, 617)	
8			(74.5, 616)
P			(78, 654) R=13
Still more results. 
LINES			
A	y=-7.2x+1224	y=-(25/2)x+1300	y=-8x+1320	y=-6.6x+1220
B	y=-9x+1260	y=-(25/2)x+1220	y=-8x+1200	y=-8x+1224
C	y=-7x+960	y=-(25/2)x+1200	y=-8x+1185	y=-8x+1200
D	y=(1/9)x+586.7	y=(2/12)x+580	y=(1/8)x+585	y=0.147x+581.25
E	y=-8x+1360	y=-(25/2)x+1300	y=-8x+1380	y=-6.575x+1262.47
F	y=(1/18)x+606.7	y=(2/12)x+610	y=(1/8)x+609	y=0.104x+607.52
CIRCLE
T	(x-75)^2+(y-655)^2=225	(x-77)^2+(y-657)^2=144		
POINTS
1			(96.5, 618)	
2			(87, 644)	
3			(71.5, 643)	
4			(71, 616)	
5			(74.5, 592)	
6			(100, 594)	
7			(90, 617)	
8			(74.5, 616)
P			(78, 654) R=13
Still more results. 
LINES			
A	y=-8.8x+1398.27
B	y=-8.8x+1255.49
C	y=-8.8x+1239.65
D	y=0.11x+582.13
E	y=-8.8x+1473.81
F	y=0.11x+606.7
CIRCLE
T	(x-73.34)^2+(y-654.52)^2=458.82		
POINTS
1	(96.7, 618.17)	
2	(85.02, 644.78)	
3	(66.2, 644.13)	
4	(70.09, 616.22)	
5	(72.69, 593.57)	
6	(99.3, 596.17)	
7	(88.26, 618.17)	
8	(73.09, 616.22)
P	(73.34, 654.52) R=21.42
It is a good idea to plot the information to see if it comes close to the expected shap and location.

The points of intersection of the lines should correspond to the corners of the building.

President of " ______ Enterprise Engineering Consultants" made two proposals for an alternate use of T'sT under the assumption that the amusement may face rough times or face harsh public reactions. One - a practical appliance - a washing machine large enough to clean a monster load, and, another - along the lines of the current trends in entertainment - a giant roulette dish with Six Flags' attractions rather than numbers in the slots. The _EEC report included diagrams and calculations for each posibility.

Jon Dollard, Dan Berra, Lewis Cook, John('s Twister) Huffman, Mike Clark, Kristy Gwaltney, Mark Brueckmann, Michael Winstead, Alex Krieg, Katrina Gaus, David Gilsinn, Nickie Matula, Jason Riegelsberger, Tesha Brenner, contributed to this project. 

Copyright © 1994 © 1997 with all rights reserved by
William V. Thayer, Mathematics Department
St. Louis Community College at Meramec
11333 Big Bend Blvd., St. Louis, MO 63122-5977
Telephone: 314 984 7866 
Email: wthayer@sprynet.com

Copyright of all Six Flags' rides and building
names herein belong to Six Flags(R) Theme Park

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