Loading...
Phyllotaxis Spirals
Save Copy
Desmos Logo
Log In
Sign Up
Hidden Label: left parenthesis, "X" , "Y" , right parenthesis
X
,
Y
Label
equals
=
left parenthesis, negative 0.4 0 7 1 , 0.9 1 3 4 , right parenthesis
−
0
.
4
0
7
1
,
0
.
9
1
3
4
left parenthesis, negative 0.9 4 5 6 , negative 1.0 5 2 , right parenthesis
−
0
.
9
4
5
6
,
−
1
.
0
5
2
left parenthesis, 1.6 4 8 , negative 0.5 3 3 5 , right parenthesis
1
.
6
4
8
,
−
0
.
5
3
3
5
left parenthesis, negative 0.2 1 1 8 , 1.9 8 9 , right parenthesis
−
0
.
2
1
1
8
,
1
.
9
8
9
left parenthesis, negative 1.9 3 5 , negative 1.1 2 1 , right parenthesis
−
1
.
9
3
5
,
−
1
.
1
2
1
left parenthesis, 1.9 8 5 , negative 1.4 3 6 , right parenthesis
1
.
9
8
5
,
−
1
.
4
3
6
left parenthesis, 0.5 4 3 9 , 2.5 8 9 , right parenthesis
0
.
5
4
3
9
,
2
.
5
8
9
left parenthesis, negative 2.7 6 5 , negative 0.5 9 5 7 , right parenthesis
−
2
.
7
6
5
,
−
0
.
5
9
5
7
left parenthesis, 1.7 7 1 , negative 2.4 2 2 , right parenthesis
1
.
7
7
1
,
−
2
.
4
2
2
left parenthesis, 1.5 7 2 , 2.7 4 4 , right parenthesis
1
.
5
7
2
,
2
.
7
4
4
left parenthesis, negative 3.3 , 0.3 3 4 2 , right parenthesis
−
3
.
3
,
0
.
3
3
4
2
left parenthesis, 1.0 8 4 , negative 3.2 9 , right parenthesis
1
.
0
8
4
,
−
3
.
2
9
left parenthesis, 2.6 6 9 , 2.4 2 5 , right parenthesis
2
.
6
6
9
,
2
.
4
2
5
left parenthesis, negative 3.4 2 5 , 1.5 0 5 , right parenthesis
−
3
.
4
2
5
,
1
.
5
0
5
left parenthesis, 0.0 1 9 9 3 , negative 3.8 7 3 , right parenthesis
0
.
0
1
9
9
3
,
−
3
.
8
7
3
29 element list
4
Expression 5: "a" equals left bracket, 1... "b" , right bracket
a
=
1
.
.
.
b
equals
=
1
1
2
2
3
3
4
4
5
5
6
6
7
7
8
8
9
9
10
1
0
11
1
1
12
1
2
13
1
3
14
1
4
15
1
5
29 element list
5
Expression 6: "X" equals StartRoot, "a" , EndRoot cosine StartFraction, 2 "a" phi Over "d" , EndFraction pi
X
=
a
c
o
s
2
a
ϕ
d
π
equals
=
negative 0.4 0 7 0 5 0 0 8 2 1 5 2
−
0
.
4
0
7
0
5
0
0
8
2
1
5
2
negative 0.9 4 5 5 7 2 1 2 4 3 6 7
−
0
.
9
4
5
5
7
2
1
2
4
3
6
7
1.6 4 7 8 2 8 2 9 4 6 7
1
.
6
4
7
8
2
8
2
9
4
6
7
negative 0.2 1 1 7 8 6 7 1 5 2 4 1
−
0
.
2
1
1
7
8
6
7
1
5
2
4
1
negative 1.9 3 4 5 7 0 6 8 0 2 6
−
1
.
9
3
4
5
7
0
6
8
0
2
6
1.9 8 4 6 3 8 7 8 8 2
1
.
9
8
4
6
3
8
7
8
8
2
0.5 4 3 8 6 5 0 9 6 3 6 2
0
.
5
4
3
8
6
5
0
9
6
3
6
2
negative 2.7 6 4 9 9 4 5 3 7 2 7
−
2
.
7
6
4
9
9
4
5
3
7
2
7
1.7 7 0 8 4 2 4 3 9 0 4
1
.
7
7
0
8
4
2
4
3
9
0
4
1.5 7 1 7 3 2 5 9 3 3 3
1
.
5
7
1
7
3
2
5
9
3
3
3
negative 3.2 9 9 7 4 0 9 9 2 6 5
−
3
.
2
9
9
7
4
0
9
9
2
6
5
1.0 8 4 0 2 2 6 1 1 2 5
1
.
0
8
4
0
2
2
6
1
1
2
5
2.6 6 8 6 5 8 4 2 2 1 4
2
.
6
6
8
6
5
8
4
2
2
1
4
negative 3.4 2 5 4 4 5 3 8 5 0 2
−
3
.
4
2
5
4
4
5
3
8
5
0
2
0.0 1 9 9 3 3 8 4 7 4 4 0 4
0
.
0
1
9
9
3
3
8
4
7
4
4
0
4
29 element list
6
Expression 7: "Y" equals StartRoot, "a" , EndRoot sine StartFraction, 2 "a" phi Over "d" , EndFraction pi
Y
=
a
s
i
n
2
a
ϕ
d
π
equals
=
0.9 1 3 4 0 5 8 4 1 1 3 5
0
.
9
1
3
4
0
5
8
4
1
1
3
5
negative 1.0 5 1 6 1 4 6 4 3 1 2
−
1
.
0
5
1
6
1
4
6
4
3
1
2
negative 0.5 3 3 5 3 7 1 6 9 5 5 4
−
0
.
5
3
3
5
3
7
1
6
9
5
5
4
1.9 8 8 7 5 4 9 8 4 2 2
1
.
9
8
8
7
5
4
9
8
4
2
2
negative 1.1 2 1 3 5 4 6 6 4 2 7
−
1
.
1
2
1
3
5
4
6
6
4
2
7
negative 1.4 3 5 6 9 1 0 8 1 1 1
−
1
.
4
3
5
6
9
1
0
8
1
1
1
2.5 8 9 2 4 9 0 7 2 0 2
2
.
5
8
9
2
4
9
0
7
2
0
2
negative 0.5 9 5 6 5 5 2 7 6 8 7 3
−
0
.
5
9
5
6
5
5
2
7
6
8
7
3
negative 2.4 2 1 5 9 3 9 0 8 1 7
−
2
.
4
2
1
5
9
3
9
0
8
1
7
2.7 4 4 0 2 1 9 8 5 1 6
2
.
7
4
4
0
2
1
9
8
5
1
6
0.3 3 4 2 2 9 5 3 4 0 7 8
0
.
3
3
4
2
2
9
5
3
4
0
7
8
negative 3.2 9 0 1 2 0 8 1 5 1 5
−
3
.
2
9
0
1
2
0
8
1
5
1
5
2.4 2 4 5 1 2 7 8 1 1 5
2
.
4
2
4
5
1
2
7
8
1
1
5
1.5 0 5 4 3 1 4 7 1 1 3
1
.
5
0
5
4
3
1
4
7
1
1
3
negative 3.8 7 2 9 3 2 0 4 7 1 4
−
3
.
8
7
2
9
3
2
0
4
7
1
4
29 element list
7
8
powered by
powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
Log In
or
Sign Up
to save your graphs!
New Blank Graph
Examples
Lines: Slope Intercept Form
example
Lines: Point Slope Form
example
Lines: Two Point Form
example
Parabolas: Standard Form
example
Parabolas: Vertex Form
example
Parabolas: Standard Form + Tangent
example
Trigonometry: Period and Amplitude
example
Trigonometry: Phase
example
Trigonometry: Wave Interference
example
Trigonometry: Unit Circle
example
Conic Sections: Circle
example
Conic Sections: Parabola and Focus
example
Conic Sections: Ellipse with Foci
example
Conic Sections: Hyperbola
example
Polar: Rose
example
Polar: Logarithmic Spiral
example
Polar: Limacon
example
Polar: Conic Sections
example
Parametric: Introduction
example
Parametric: Cycloid
example
Transformations: Translating a Function
example
Transformations: Scaling a Function
example
Transformations: Inverse of a Function
example
Statistics: Linear Regression
example
Statistics: Anscombe's Quartet
example
Statistics: 4th Order Polynomial
example
Lists: Family of sin Curves
example
Lists: Curve Stitching
example
Lists: Plotting a List of Points
example
Calculus: Derivatives
example
Calculus: Secant Line
example
Calculus: Tangent Line
example
Calculus: Taylor Expansion of sin(x)
example
Calculus: Integrals
example
Calculus: Integral with adjustable bounds
example
Calculus: Fundamental Theorem of Calculus
example
Terms of Service
|
Privacy Policy
