clumsycomputer

i'll do my best

1. define the base circle (orange)

2. define the sub circle (pink)

3. compute the range of the intersection circle's radius (blue)

4. compute the loop points (yellow)

   4A. compute intersection circle along range defined in 3

   4B. compute the intersection angle between base and intersection circles relative to the center of the intersection/sub circle (law of cosines)

   4C. compute the intersection point with intersection angle (green on blue & orange)

   4D. compute sub point with intersection angle (green on pink)

   4E. compute the loop point with the x component from intersection point (4C) and the y component from sub point (4D)

5. compute the trace point at trace angle (white)

   5A. trace the already computed loop points searching for the the two points where the trace angle fits between

   5B. compute the intersection between the line composed of the two matching loop points and the trace line originating at the sub circle's center with an angle of the trace angle

its a generalization of the drawing by Fritz Hügelschäffer linked below

http://www.mathematische-basteleien.de/eggcurves.htm#:~:text....

your reply certainly gives me hope that its possible, though i fear i've stared at this diagram for too long and am having difficulty viewing it with a fresh perspective.

some additional context.

im constructing the loop (yellow) with the black dots, which im computing in constant time. the dynamic circle (blue) is being constructed from the two static circles (pink, orange). the white dot is currently being computed by sweeping the already computed loop points from the center of the small circle (pink).

are there any laws or key points that may help me along? are there any similar problems that are well documented that you are aware of?

thanks

haha fair question... i'm hoping to find someone who will donate their time as i am doing myself. its important that improvements to the current solution i have remain in the open and free to use. otherwise said help may be counterproductive and even destructive

howdy hn

for a couple years now ive had an itch to curate my favorite music outside of the major music platforms in order to facilitate sharing with my friends who are all devoted to different apps. finally i got to scratching last month and am pleased with the first iteration. its uncluttered, straightforward, and provides flexibility in how the music is organized/categorized

the app is built with nextjs and is currently frontend only. im not entirely sure what the next step for this project is. there is a good chance it will remain as is for the foreseeable future with the exception of adding more music. however depending on the feedback, i may continue iterating and possibly even split out into a dedicated service for others to take advantage in an easier fashion than forking

a link to the code below:

https://github.com/clumsycomputer/clumsy-website/tree/produc...

Location: Mexico

Remote: Only

Willing to relocate: Most likely not

Technologies: Typescript, React, Vue@2

Resume: https://clumsycomputer.com/software/resume

Email: [email protected]