Module 35

7th part: cadences

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Table of Modules

Curlicue variations

Polygon patterns in the Gauss plane of complex numbers


$\textstyle \parbox{7.5cm}{\epsfxsize=6.cm
\epsfbox{samml_mod127_hoch_pi}\\
$n=2000,\varphi(i)=i^{11}\mbox{mod} 127,x=\pi$ }$ $\textstyle \parbox{8cm}{\epsfxsize=6.cm
\epsfbox{samml_mod127_hoch_delta}\\
$n=2000,\varphi(i)=i^{11}\mbox{mod} 127,x=\delta$ }$

$\textstyle \parbox{7.5cm}{\epsfxsize=6.cm
\epsfbox{samml_mod127_hoch3_delta}\\
$n=2000,\varphi(i)=i^{3}\mbox{mod} 127,x=\delta$ }$ $\textstyle \parbox{8cm}{\epsfxsize=6.cm
\epsfbox{samml_mod63_hoch3_delta}\\
$n=2000,\varphi(i)=i^{3}\mbox{mod} 63,x=\delta$\\
gravimotor}$

$\textstyle \parbox{7.5cm}{\epsfxsize=6.cm
\epsfbox{samml_mod61_reise}\\
$n=200...
...)=(7i+41)\mbox{mod} 61,\\ x=\displaystyle\frac{4(1+2\sqrt{2})\sqrt{51}}{153}$ }$ $\textstyle \parbox{8cm}{\epsfxsize=6.cm
\epsfbox{samml_mod61_reise2}\\
$n=1163...
...x=\displaystyle\frac{4(1+2\sqrt{2})\sqrt{51}}{153}$\\
molecular wheel [21,22]}$

$\textstyle \parbox{7.5cm}{\epsfxsize=6.cm
\epsfbox{samml_mod63_ln23}\\
$n=1000,\varphi(i)=(7i+41)\mbox{mod} 63,x=\displaystyle\frac{\mbox{ln} 2}{\mbox{ln} 3}$ }$ $\textstyle \parbox{8cm}{\epsfxsize=6.cm
\epsfbox{samml_mod61_ln23}\\
$n=1000,\varphi(i)=(7i+41)\mbox{mod} 61,x=\displaystyle\frac{\mbox{ln} 2}{\mbox{ln}
3}$ }$

$\textstyle \parbox{7.5cm}{\epsfxsize=6.cm
\epsfbox{samml_mod70_ee}\\
$n=660,\varphi(i)=(7i+41)\mbox{mod} 70,x=e^e$ }$ $\textstyle \parbox{8cm}{\epsfxsize=6.cm
\epsfbox{samml_mod69_ee}\\
$n=2000,\varphi(i)=(7i+41)\mbox{mod} 69,x=e^e$ }$

$\textstyle \parbox{7.5cm}{\epsfxsize=6.cm
\epsfbox{samml_mod68_ee}\\
$n=2000,\varphi(i)=(7i+41)\mbox{mod} 68x=e^e$ }$ $\textstyle \parbox{8cm}{\epsfxsize=6.cm
\epsfbox{samml_mod64_ee}\\
$n=2000,\varphi(i)=(7i+41)\mbox{mod} 64,x=e^e$\\
Merlin's necklace}$

$\textstyle \parbox{7.5cm}{\epsfxsize=6.cm
\epsfbox{samml_mod63_ee}\\
$n=300,\varphi(i)=(7i+41)\mbox{mod} 63,x=e^e$ }$ $\textstyle \parbox{8cm}{\epsfxsize=6.cm
\epsfbox{samml_mod63_ee2}\\
$n=350,\varphi(i)=(7i+41)\mbox{mod} 63,x=e^e$ }$

$\textstyle \parbox{7.5cm}{\epsfxsize=6.cm
\epsfbox{samml_mod62_ee}\\
$n=2000,\varphi(i)=(7i+41)\mbox{mod} 62,x=e^e$ }$ $\textstyle \parbox{8cm}{\epsfxsize=6.cm
\epsfbox{samml_mod61_ee}\\
$n=2000,\varphi(i)=(7i+41)\mbox{mod} 61,x=e^e$\\
water wheel}$

(Sto), (Schö)



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