Polaris Polar Roses – Rose or Rhodonea Curve, these are made using the Spirograph toy and The Compass Rose
https://wiki.wizard101central.com/wiki/NPC:Eloise_Merryweather
https://wiki.wizard101central.com/wiki/Quest:Plotting_Out_Polar_Roses
https://en.wikipedia.org/wiki/Rose_(mathematics)
https://en.wikipedia.org/wiki/Spirograph
https://en.wikipedia.org/wiki/Compass_rose
Eloise is so glad she caught you. Your Wizard ran off so quickly after your graduation ceremony that she didn’t get a chance to tell you Congratulations! The Royal Museum has sent Eloise to Polaris to look for Polar Roses. But just between the two of you, it’s too cold to venture outside Walruskberg. She’d be ever so grateful if you’d help her out.
In mathematics, a rose or rhodonea curve is a sinusoid specified by either the cosine or sine functions with no phase angle that is plotted in polar coordinates. Rose curves or “rhodonea” were named by the Italian mathematician who studied them, Guido Grandi, between the years 1723 and 1728.
A rose is the set of points in polar coordinates specified by the polar equation
For proper mathematical analysis, k must be expressed in irreducible form.
Mathematical “rose” or “rhodonea” curves, based on the polar-coordinates equation r=cos(θ*n/d). In this chart, the values of parameter n varies from 1 to 7, while d varies from 1 to 9.
A Rose curve is what is produced when using the children’s toy drawing set Spirograph. Spirograph is a geometric drawing device that produces mathematical roulette curves of the variety technically known as hypotrochoids and epitrochoids. The well-known toy version was developed by British engineer Denys Fisher and first sold in 1965.
The name has been a registered trademark of Hasbro Inc. since 1998 following purchase of the company that had acquired the Denys Fisher company. The Spirograph brand was relaunched worldwide in 2013, with its original product configurations, by Kahootz Toys.
A compass rose or compass star, sometimes called a wind rose or rose of the winds, is a polar diagram displaying the orientation of the cardinal directions (north, east, south, and west) and their intermediate points. It is used on compasses (including magnetic ones), maps (such as compass rose networks), or monuments. It is particularly common in navigation systems, including nautical charts, non-directional beacons (NDB), VHF omnidirectional range (VOR) systems, satellite navigation devices (“GPS”).
Text for this article is excerpted from the linked wiki pages
Eloise Merryweather and Golden Wattle images are from Wizard101, and are copyright of KingsIsle Entertainment. The Polar Rose Image is borrowed from Final Bastion.
Rose Curves image is borrowed from Wikipedia. It is copyright Jason Davies and is shared under the CC BY-SA 3.0 Creative Commons License.
The name “Spirograph” is a registered trademark owned by Hasbro Inc.,
Spirograph image is borrowed from Wikipedia. It is copyright James Petts and is shared under the CC BY-SA 2.0 Creative Commons License.
Compass Rose image is borrowed from Wikipedia. It is copyright Vloeck and is shared under the CC BY-SA 3.0 Creative Commons License.
Image usage qualifies as fair use under US copyright law.
The other Eloise quest references can be found here.
Vulcan Stev's Database 