You are not logged in.
#1 2011-12-09 21:49:33
- benice
- Full Member
Offline
[Dynamic Spirograph] Circle Rolling around Rolling Circle
Circle Rolling around Rolling Circle (1)
Circle 1 rolls around inside of the fixed base circle.
Circle 2 rolls around inside of Circle 1.
Circle Rolling around Rolling Circle (2)
Circle 1 rolls around inside of the fixed base circle.
Circle 2 rolls around outside of Circle 1.
Circle Rolling around Rolling Circle (3)
Circle 1 rolls around outside of the fixed base circle.
Circle 2 rolls around inside of Circle 1.
Circle Rolling around Rolling Circle (4)
Circle 1 rolls around outside of the fixed base circle.
Circle 2 rolls around outside of Circle 1.
Sumo Wrestler
Insect-like Spirograph
Making Love (♥)
Spiroface
Last edited by benice (2012-05-03 02:29:03)
My Gallery of Math Art: benice equation
#2 2011-12-09 23:45:12
- gAr
- Star Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Hi benice,
That's extraordinary!
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#3 2011-12-10 03:46:19
- bobbym
- Administrator
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Hi benice;
Nice work!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#4 2011-12-16 07:37:46
- John E. Franklin
- Star Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Can you do the logarhythm of the distances to make it possible to see this one:
Make the big moving circle go around the sun, like Earth. And then make the tiniest circle go around the Earth like the moon.
Don't use logs at first but one is 94 million miles and the other one is a quarter of a million, or something like that so it might not be easy to view it since 4 times 94+/- is around 376 for the ratio of the earth and moon circle sizes. Now looking down at the solar system from the north star, the Earth goes CCW and the moon also goes CCW, the last time I remember.`
Imagine for a moment that even an earthworm may possess a love of self and a love of others.
#5 2012-01-10 11:29:58
- benice
- Full Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
John E. Franklin wrote:
Can you do the logarhythm of the distances to make it possible to see this one:
Make the big moving circle go around the sun, like Earth. And then make the tiniest circle go around the Earth like the moon.
Don't use logs at first but one is 94 million miles and the other one is a quarter of a million, or something like that so it might not be easy to view it since 4 times 94+/- is around 376 for the ratio of the earth and moon circle sizes. Now looking down at the solar system from the north star, the Earth goes CCW and the moon also goes CCW, the last time I remember.`
Hi John,
Please see the attached image sun_earth_moon_d2_0.png for the orbit of the moon around the sun.
The parameter values I use:
The radius of the Sun = 69.55 × 10^4 km.
The radius of the Earth = 0.6371 × 10^4 km.
The radius of the Moon = 0.17371 × 10^4 km.
The average distance from the Earth to the Sun = 14959.787 × 10^4 km.
The average distance from the Moon to the Earth = 38.5 × 10^4 km.
The period of the Earth's orbit around the Sun = 365.2422 days.
The period of the Moon's orbit around the Earth = 27.32 days.
Earth's rotation period = 1 day.
Moon's rotation period = 27.32 days.
Suppose P2 is a point which is (d2 × 10^4 km) away from the center of the Moon
and is fixed relative to the Moon.
Please see images sun_earth_moon_d2_200.jpg ~ sun_earth_moon_d2_4000.jpg
for the orbits of P2 around the sun with some different d2 values.
Suppose P1 is a point which is (d1 × 10^4 km) away from the center of the Earth
and is fixed relative to the Earth. P is the midpoint between P1 and P2.
Please see the following images for the orbits of P around the sun with some d1 and d2 values:
sun_earth_moon_d1_3000_d2_5000.jpg,
sun_earth_moon_d1_5000_d2_1000.jpg,
sun_earth_moon_d1_5000_d2_3000.jpg.
My Gallery of Math Art: benice equation
#6 2012-01-10 11:41:20
- anonimnystefy
- Real Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
hi benice
this pics are very nice.keep doing what you're doing cuz you're doing it awsome...ly. 
Last edited by anonimnystefy (2012-01-10 11:41:35)
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#7 2012-01-10 11:42:12
- benice
- Full Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Circle Rolling around Rolling Circle (2)
Circle 1 rolls around inside of the fixed base circle.
Circle 2 rolls around outside of Circle 1.
My Gallery of Math Art: benice equation
#8 2012-01-10 11:46:27
- bobbym
- Administrator
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Hi;
Your stuff looks a lot better than many of the geogebra tutorials I have seen. A step by step on some of them would be an education.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#9 2012-01-10 12:06:46
- benice
- Full Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Hi anonimnystefy,
Thank you for your appreciation.
Hi bobbym,
There are some new features in GeoGebra 4.0.
My Gallery of Math Art: benice equation
#10 2012-01-10 12:15:34
- bobbym
- Administrator
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Hi benice;
Yes, I know I keep abreast of the program. Have not seen the 3D version as a standalone download yet.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#11 2012-01-28 06:19:12
- benice
- Full Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Circle Rolling around Rolling Circle (3)
Circle 1 rolls around outside of the fixed base circle.
Circle 2 rolls around inside of Circle 1.
Circle Rolling around Rolling Circle (4)
Circle 1 rolls around outside of the fixed base circle.
Circle 2 rolls around outside of Circle 1.
Sumo Wrestler
Insect-like Spirograph
My Gallery of Math Art: benice equation
#12 2012-01-28 07:06:35
- bobbym
- Administrator
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Hi benice;
Looks like a fish!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#13 2012-02-09 14:00:20
- benice
- Full Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
My Gallery of Math Art: benice equation
#14 2012-02-09 16:27:38
- bobbym
- Administrator
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Hi benice;
That is very well done. Thanks!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#15 2012-02-09 17:53:51
- gAr
- Star Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Hi benice,
That's very cool!
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#16 2012-04-30 00:21:25
- mathgogocart
- Super Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
gAr wrote:
Hi benice,
That's very cool!
cool it looks good and spirography
woosh! woosh! bye as I go to Kanto.
#17 2012-04-30 00:26:03
- anonimnystefy
- Real Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
Hi
Yes,benice does know how to creaty soke very awesome pics.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#18 2012-05-15 08:55:53
- mathgogocart
- Super Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
i have geogebra but how do you make that?
woosh! woosh! bye as I go to Kanto.
#19 2012-05-15 09:02:02
- bobbym
- Administrator
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
What do you know how to do with geogebra?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#20 2012-05-17 18:36:18
- benice
- Full Member
Offline
Re: [Dynamic Spirograph] Circle Rolling around Rolling Circle
mathgogocart wrote:
i have geogebra but how do you make that?
My Gallery of Math Art: benice equation