# Daily Desmos 95a (Advanced)

## Creator

Luke Walsh (@LukeSelfwalker)

## Difficulty

Advanced

## On to the Challenge!

Can you create the following graph using desmos.com or some other graphing tool? If you’re victorious, leave us a note in the comments when you’re done.

Option 1: Graph the dots

Option 2: Graph a function that *passes through* all of the dots

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Awww yes, lovin’ the dot challenges. My four solutions, although the third wouldn’t work if the pattern of dots continues above the line y=30.

Wow, those are awesome equations. Amazing work! It inspires me to go back and find others. My look lame compared to yours.

Thanks, makes me wonder what you had in mind ๐ This is what I’m enjoying most about the dots-style challenges: Even after getting an answer, one still wonders how many more can be found. For example, how’d I overlook the conciseness of the LCM solution below?!

https://www.desmos.com/calculator/xsrymaxeop

I also have the feeling that there ought to be a combination of coefficients that would make https://www.desmos.com/calculator/ulfbulxeko work, but I can’t find it.

Can’t get much more to-the-point than your first solution. Intrigued by the polar equation. I didn’t come to any conclusions with your coefficients either, but it did inspire me to try some other polar approaches.

Well, done jsb16. That was one I used to plot the dots. As for your polar form, I don’t think the coefficients matter because the line have a slight curve to them.

Jerome, those polar equations are so sick. I love it to the nth radian!