1

2

4

8

16

32

64

128

256

512

1024

實數

對數

$0.3010$
$\;\;\;\;\;⇓$
$\;\;\;log2$

×2

$\;\;\;1$
$\;\;\;⇓$
$log10$

$\;\;\;\;2$
$\;\;\;\;⇓$
$log100$

$\;\;\;\;\;3$
$\;\;\;\;\;⇓$
$log1000$

×2

×2

×2

×2

×2

×2

×2

×2

×2

10

100

1000

log2的近似值

$Step%v$

\;\;\;0
\\;\;\;⇓
\log1

∵1024≈1000

∴log1024≈log1000

⇒log2^{10}=10log2≈3

⇒log2≈0.3

所以log2略大於0.3

A = (5.448395268956444, -1.1289590674775598)
b = 0.6
A_1: A + (1, 0)
A_2: A_1 + (1, 0)
A_3: A_2 + (1, 0)
A_4: A_3 + (1, 0)
A_5: A_4 + (1, 0)
A_6: A_5 + (1, 0)
A_7: A_6 + (1, 0)
A_8: A_7 + (1, 0)
A_9: A_8 + (1, 0)
A_0: A_9 + (1, 0)
c = -0.3
B_1: A + (0.5, c)
B_2: B_1 + (1, 0)
B_3: B_2 + (1, 0)
B_4: B_3 + (1, 0)
B_5: B_4 + (1, 0)
B_6: B_5 + (1, 0)
B_7: B_6 + (1, 0)
B_8: B_7 + (1, 0)
B_9: B_8 + (1, 0)
B_0: B_9 + (1, 0)
α_1 = CircleArc(B_1, A_1, A)
α_2 = CircleArc(B_2, A_2, A_1)
α_3 = CircleArc(B_3, A_3, A_2)
α_4 = CircleArc(B_4, A_4, A_3)
α_5 = CircleArc(B_5, A_5, A_4)
α_6 = CircleArc(B_6, A_6, A_5)
α_7 = CircleArc(B_7, A_7, A_6)
α_8 = CircleArc(B_8, A_8, A_7)
α_9 = CircleArc(B_9, A_9, A_8)
α_0 = CircleArc(B_0, A_0, A_9)
A4 = 0
d_1 = Segment(A + (3.2, (-0.6)), A + (3.2, 1.5))
d_3 = Segment(A + (9.8, (-0.6)), A + (9.8, 1.5))
d_2 = Segment(A + (6.6, (-0.6)), A + (6.6, 1.5))
n = 0 (slider from 0 to 16, step 1)
list1 = If(n ≤ 10, Sequence[Segment[A + (k, b), A + (k, (-b))], k, 0, n - 1], Sequence[Segment[A + (k, b), A + (k, (-b))], k, 0, 10])
a = If(n ≥ 11, Segment[A, A + (10, 0)], Segment[A, A + (n - 1, 0)])