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Collatz Tesseracts w/ circles
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Expression 75: "y" equals ( ( 2 / "n" plus 1 ) minus ( 3 "n" ) )
y
=
(
(
2
/
n
+
1
)
−
(
3
n
)
)
equals
=
negative 18.5 8 5 2 9 5 3 6 8 8
−
1
8
.
5
8
5
2
9
5
3
6
8
8
75
Expression 76:
76
Expression 77: "y" equals ( ( 3 "n" minus 1 ) / ( 2 "n" ) )
y
=
(
(
3
n
−
1
)
/
(
2
n
)
)
equals
=
1.4 2 4 5 7 3 8 4 2 2 1
1
.
4
2
4
5
7
3
8
4
2
2
1
77
Expression 78: "y" equals ( ( 3 "n" minus 1 ) * ( 2 "n" ) )
y
=
(
(
3
n
−
1
)
*
(
2
n
)
)
equals
=
250.4 0 3 8 4 6
2
5
0
.
4
0
3
8
4
6
78
Expression 79: "y" equals ( ( 3 "n" minus 1 ) plus ( 2 "n" ) )
y
=
(
(
3
n
−
1
)
+
(
2
n
)
)
equals
=
32.1 4 5
3
2
.
1
4
5
79
Expression 80: "y" equals ( ( 3 "n" minus 1 ) minus ( 2 "n" ) )
y
=
(
(
3
n
−
1
)
−
(
2
n
)
)
equals
=
5.6 2 9
5
.
6
2
9
80
Expression 81:
81
Expression 82: "y" equals ( ( 2 / "n" ) * ( 3 "n" minus 1 ) )
y
=
(
(
2
/
n
)
*
(
3
n
−
1
)
)
equals
=
5.6 9 8 2 9 5 3 6 8 8 3
5
.
6
9
8
2
9
5
3
6
8
8
3
82
Expression 83: "y" equals ( ( 2 / "n" ) / ( 3 "n" minus 1 ) )
y
=
(
(
2
/
n
)
/
(
3
n
−
1
)
)
equals
=
0.0 1 5 9 7 4 1 9 5 5 4 0 1
0
.
0
1
5
9
7
4
1
9
5
5
4
0
1
83
Expression 84: "y" equals ( ( 2 / "n" ) plus ( 3 "n" minus 1 ) )
y
=
(
(
2
/
n
)
+
(
3
n
−
1
)
)
equals
=
19.1 8 8 7 0 4 6 3 1 2
1
9
.
1
8
8
7
0
4
6
3
1
2
84
Expression 85: "y" equals ( ( 2 / "n" ) minus ( 3 "n" minus 1 ) )
y
=
(
(
2
/
n
)
−
(
3
n
−
1
)
)
equals
=
negative 18.5 8 5 2 9 5 3 6 8 8
−
1
8
.
5
8
5
2
9
5
3
6
8
8
85
Expression 86:
86
Expression 87: "y" equals ( ( 2 / "n" minus 1 ) * ( 3 "n" ) )
y
=
(
(
2
/
n
−
1
)
*
(
3
n
)
)
equals
=
negative 13.8 8 7
−
1
3
.
8
8
7
87
Expression 88: "y" equals ( ( 2 / "n" minus 1 ) / ( 3 "n" ) )
y
=
(
(
2
/
n
−
1
)
/
(
3
n
)
)
equals
=
negative 0.0 3 5 1 1 3 1 5 7 7 8 3 2
−
0
.
0
3
5
1
1
3
1
5
7
7
8
3
2
88
Expression 89: "y" equals ( ( 2 / "n" minus 1 ) plus ( 3 "n" ) )
y
=
(
(
2
/
n
−
1
)
+
(
3
n
)
)
equals
=
19.1 8 8 7 0 4 6 3 1 2
1
9
.
1
8
8
7
0
4
6
3
1
2
89
Expression 90: "y" equals ( ( 2 / "n" minus 1 ) minus ( 3 "n" ) )
y
=
(
(
2
/
n
−
1
)
−
(
3
n
)
)
equals
=
negative 20.5 8 5 2 9 5 3 6 8 8
−
2
0
.
5
8
5
2
9
5
3
6
8
8
90
Expression 91:
91
Expression 92: negative "y" equals ( ( 3 "n" plus 1 ) / ( 2 "n" ) )
−
y
=
(
(
3
n
+
1
)
/
(
2
n
)
)
92
Expression 93: negative "y" equals ( ( 3 "n" plus 1 ) * ( 2 "n" ) )
−
y
=
(
(
3
n
+
1
)
*
(
2
n
)
)
93
Expression 94: negative "y" equals ( ( 3 "n" plus 1 ) plus ( 2 "n" ) )
−
y
=
(
(
3
n
+
1
)
+
(
2
n
)
)
94
Expression 95: negative "y" equals ( ( 3 "n" plus 1 ) minus ( 2 "n" ) )
−
y
=
(
(
3
n
+
1
)
−
(
2
n
)
)
95
Expression 96:
96
Expression 97: negative "y" equals ( ( 2 / "n" ) * ( 3 "n" plus 1 ) )
−
y
=
(
(
2
/
n
)
*
(
3
n
+
1
)
)
97
Expression 98: negative "y" equals ( ( 2 / "n" ) / ( 3 "n" plus 1 ) )
−
y
=
(
(
2
/
n
)
/
(
3
n
+
1
)
)
98
Expression 99: negative "y" equals ( ( 2 / "n" ) plus ( 3 "n" plus 1 ) )
−
y
=
(
(
2
/
n
)
+
(
3
n
+
1
)
)
99
Expression 100: negative "y" equals ( ( 2 / "n" ) minus ( 3 "n" plus 1 ) )
−
y
=
(
(
2
/
n
)
−
(
3
n
+
1
)
)
100
Expression 101:
101
Expression 102: negative "y" equals ( ( 2 / "n" plus 1 ) * ( 3 "n" ) )
−
y
=
(
(
2
/
n
+
1
)
*
(
3
n
)
)
102
Expression 103: negative "y" equals ( ( 2 / "n" plus 1 ) / ( 3 "n" ) )
−
y
=
(
(
2
/
n
+
1
)
/
(
3
n
)
)
103
Expression 104: negative "y" equals ( ( 2 / "n" plus 1 ) plus ( 3 "n" ) )
−
y
=
(
(
2
/
n
+
1
)
+
(
3
n
)
)
104
Expression 105: negative "y" equals ( ( 2 / "n" plus 1 ) minus ( 3 "n" ) )
−
y
=
(
(
2
/
n
+
1
)
−
(
3
n
)
)
105
Expression 106:
106
Expression 107: negative "y" equals ( ( 3 "n" minus 1 ) / ( 2 "n" ) )
−
y
=
(
(
3
n
−
1
)
/
(
2
n
)
)
107
Expression 108: negative "y" equals ( ( 3 "n" minus 1 ) * ( 2 "n" ) )
−
y
=
(
(
3
n
−
1
)
*
(
2
n
)
)
108
Expression 109: negative "y" equals ( ( 3 "n" minus 1 ) plus ( 2 "n" ) )
−
y
=
(
(
3
n
−
1
)
+
(
2
n
)
)
109
Expression 110: negative "y" equals ( ( 3 "n" minus 1 ) minus ( 2 "n" ) )
−
y
=
(
(
3
n
−
1
)
−
(
2
n
)
)
110
Expression 111:
111
Expression 112: negative "y" equals ( ( 2 / "n" ) * ( 3 "n" minus 1 ) )
−
y
=
(
(
2
/
n
)
*
(
3
n
−
1
)
)
112
Expression 113: negative "y" equals ( ( 2 / "n" ) / ( 3 "n" minus 1 ) )
−
y
=
(
(
2
/
n
)
/
(
3
n
−
1
)
)
113
Expression 114: negative "y" equals ( ( 2 / "n" ) plus ( 3 "n" minus 1 ) )
−
y
=
(
(
2
/
n
)
+
(
3
n
−
1
)
)
114
Expression 115: negative "y" equals ( ( 2 / "n" ) minus ( 3 "n" minus 1 ) )
−
y
=
(
(
2
/
n
)
−
(
3
n
−
1
)
)
115
Expression 116:
116
Expression 117: negative "y" equals ( ( 2 / "n" minus 1 ) * ( 3 "n" ) )
−
y
=
(
(
2
/
n
−
1
)
*
(
3
n
)
)
117
Expression 118: negative "y" equals ( ( 2 / "n" minus 1 ) / ( 3 "n" ) )
−
y
=
(
(
2
/
n
−
1
)
/
(
3
n
)
)
118
Expression 119: negative "y" equals ( ( 2 / "n" minus 1 ) plus ( 3 "n" ) )
−
y
=
(
(
2
/
n
−
1
)
+
(
3
n
)
)
119
Expression 120: negative "y" equals ( ( 2 / "n" minus 1 ) minus ( 3 "n" ) )
−
y
=
(
(
2
/
n
−
1
)
−
(
3
n
)
)
120
Expression 121:
121
Expression 122: "r" equals ( ( 3 "n" plus 1 ) / ( 2 "n" ) )
r
=
(
(
3
n
+
1
)
/
(
2
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
1.5 7 5 4 2 6 1 5 7 7 9
1
.
5
7
5
4
2
6
1
5
7
7
9
122
Expression 123: "r" equals ( ( 3 "n" plus 1 ) * ( 2 "n" ) )
r
=
(
(
3
n
+
1
)
*
(
2
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
276.9 1 9 8 4 6
2
7
6
.
9
1
9
8
4
6
123
Expression 124: "r" equals ( ( 3 "n" plus 1 ) plus ( 2 "n" ) )
r
=
(
(
3
n
+
1
)
+
(
2
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
34.1 4 5
3
4
.
1
4
5
124
Expression 125: "r" equals ( ( 3 "n" plus 1 ) minus ( 2 "n" ) )
r
=
(
(
3
n
+
1
)
−
(
2
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
7.6 2 9
7
.
6
2
9
125
Expression 126:
126
Expression 127: "r" equals ( ( 2 / "n" ) * ( 3 "n" plus 1 ) )
r
=
(
(
2
/
n
)
*
(
3
n
+
1
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
6.3 0 1 7 0 4 6 3 1 1 7
6
.
3
0
1
7
0
4
6
3
1
1
7
127
Expression 128: "r" equals ( ( 2 / "n" ) / ( 3 "n" plus 1 ) )
r
=
(
(
2
/
n
)
/
(
3
n
+
1
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
0.0 1 4 4 4 4 6 1 2 9 7 3
0
.
0
1
4
4
4
4
6
1
2
9
7
3
128
Expression 129: "r" equals ( ( 2 / "n" ) plus ( 3 "n" plus 1 ) )
r
=
(
(
2
/
n
)
+
(
3
n
+
1
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
21.1 8 8 7 0 4 6 3 1 2
2
1
.
1
8
8
7
0
4
6
3
1
2
129
Expression 130: "r" equals ( ( 2 / "n" ) minus ( 3 "n" plus 1 ) )
r
=
(
(
2
/
n
)
−
(
3
n
+
1
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
negative 20.5 8 5 2 9 5 3 6 8 8
−
2
0
.
5
8
5
2
9
5
3
6
8
8
130
Expression 131:
131
Expression 132: "r" equals ( ( 2 / "n" plus 1 ) * ( 3 "n" ) )
r
=
(
(
2
/
n
+
1
)
*
(
3
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
25.8 8 7
2
5
.
8
8
7
132
Expression 133: "r" equals ( ( 2 / "n" plus 1 ) / ( 3 "n" ) )
r
=
(
(
2
/
n
+
1
)
/
(
3
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
0.0 6 5 4 5 5 0 5 2 6 0 5 5
0
.
0
6
5
4
5
5
0
5
2
6
0
5
5
133
Expression 134: "r" equals ( ( 2 / "n" plus 1 ) plus ( 3 "n" ) )
r
=
(
(
2
/
n
+
1
)
+
(
3
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
21.1 8 8 7 0 4 6 3 1 2
2
1
.
1
8
8
7
0
4
6
3
1
2
134
Expression 135: "r" equals ( ( 2 / "n" plus 1 ) minus ( 3 "n" ) )
r
=
(
(
2
/
n
+
1
)
−
(
3
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
negative 18.5 8 5 2 9 5 3 6 8 8
−
1
8
.
5
8
5
2
9
5
3
6
8
8
135
Expression 136:
136
Expression 137: "r" equals ( ( 3 "n" minus 1 ) / ( 2 "n" ) )
r
=
(
(
3
n
−
1
)
/
(
2
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
1.4 2 4 5 7 3 8 4 2 2 1
1
.
4
2
4
5
7
3
8
4
2
2
1
137
Expression 138: "r" equals ( ( 3 "n" minus 1 ) * ( 2 "n" ) )
r
=
(
(
3
n
−
1
)
*
(
2
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
250.4 0 3 8 4 6
2
5
0
.
4
0
3
8
4
6
138
Expression 139: "r" equals ( ( 3 "n" minus 1 ) plus ( 2 "n" ) )
r
=
(
(
3
n
−
1
)
+
(
2
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
32.1 4 5
3
2
.
1
4
5
139
Expression 140: "r" equals ( ( 3 "n" minus 1 ) minus ( 2 "n" ) )
r
=
(
(
3
n
−
1
)
−
(
2
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
5.6 2 9
5
.
6
2
9
140
Expression 141:
141
Expression 142: "r" equals ( ( 2 / "n" ) * ( 3 "n" minus 1 ) )
r
=
(
(
2
/
n
)
*
(
3
n
−
1
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
5.6 9 8 2 9 5 3 6 8 8 3
5
.
6
9
8
2
9
5
3
6
8
8
3
142
Expression 143: "r" equals ( ( 2 / "n" ) / ( 3 "n" minus 1 ) )
r
=
(
(
2
/
n
)
/
(
3
n
−
1
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
0.0 1 5 9 7 4 1 9 5 5 4 0 1
0
.
0
1
5
9
7
4
1
9
5
5
4
0
1
143
Expression 144: "r" equals ( ( 2 / "n" ) plus ( 3 "n" minus 1 ) )
r
=
(
(
2
/
n
)
+
(
3
n
−
1
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
19.1 8 8 7 0 4 6 3 1 2
1
9
.
1
8
8
7
0
4
6
3
1
2
144
Expression 145: "r" equals ( ( 2 / "n" ) minus ( 3 "n" minus 1 ) )
r
=
(
(
2
/
n
)
−
(
3
n
−
1
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
negative 18.5 8 5 2 9 5 3 6 8 8
−
1
8
.
5
8
5
2
9
5
3
6
8
8
145
Expression 146:
146
Expression 147: "r" equals ( ( 2 / "n" minus 1 ) * ( 3 "n" ) )
r
=
(
(
2
/
n
−
1
)
*
(
3
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
negative 13.8 8 7
−
1
3
.
8
8
7
147
Expression 148: "r" equals ( ( 2 / "n" minus 1 ) / ( 3 "n" ) )
r
=
(
(
2
/
n
−
1
)
/
(
3
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
negative 0.0 3 5 1 1 3 1 5 7 7 8 3 2
−
0
.
0
3
5
1
1
3
1
5
7
7
8
3
2
148
Expression 149: "r" equals ( ( 2 / "n" minus 1 ) plus ( 3 "n" ) )
r
=
(
(
2
/
n
−
1
)
+
(
3
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
19.1 8 8 7 0 4 6 3 1 2
1
9
.
1
8
8
7
0
4
6
3
1
2
149
Expression 150: "r" equals ( ( 2 / "n" minus 1 ) minus ( 3 "n" ) )
r
=
(
(
2
/
n
−
1
)
−
(
3
n
)
)
0
0
domain \theta Minimum:
less than or equal to theta less than or equal to
≤
θ
≤
2 pi
2
π
domain \theta Maximum:
equals
=
negative 20.5 8 5 2 9 5 3 6 8 8
−
2
0
.
5
8
5
2
9
5
3
6
8
8
150
151
powered by
powered by
"x"
x
"y"
y
"a" squared
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functions
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less than
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greater than
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4
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Trigonometry: Period and Amplitude
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Trigonometry: Phase
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Trigonometry: Wave Interference
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Trigonometry: Unit Circle
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Conic Sections: Circle
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Conic Sections: Parabola and Focus
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Conic Sections: Ellipse with Foci
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Polar: Rose
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Polar: Logarithmic Spiral
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Polar: Limacon
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Polar: Conic Sections
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Parametric: Introduction
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Parametric: Cycloid
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Transformations: Translating a Function
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Transformations: Scaling a Function
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Transformations: Inverse of a Function
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Statistics: Linear Regression
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Statistics: Anscombe's Quartet
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Statistics: 4th Order Polynomial
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Lists: Family of sin Curves
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Lists: Curve Stitching
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Lists: Plotting a List of Points
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Calculus: Derivatives
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Calculus: Secant Line
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Calculus: Tangent Line
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Calculus: Taylor Expansion of sin(x)
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Calculus: Integrals
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Calculus: Integral with adjustable bounds
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Calculus: Fundamental Theorem of Calculus
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