Tap / click on image to see more RealViewsTM
Sale Price $5.56.  
Original Price $6.95 Comp. value
per keychain
You save 20% ends today

Keychain: Zernike polynomial Z(8,4) Keychain

Qty:
Aluminum Circle
+$1.75
+$1.75
+$18.30
+$18.30

Other designs from this category

About Keychains

Sold by

Style: Metal Circle Keychain

Keep your keys safe and spectacular with this sturdy aluminum keychain from Zazzle. Beautifully printed on both sides, you can choose from thousands of designs, or personalize it with your own photos, text or unique designs. Label your car keys or keep a family photo of loved ones close to you at all times, these personalized keychains are light and waterproof.

  • Dimensions:
    • Diameter: 2"
    • Depth: 0.045"
    • Weight: 0.05 oz.
  • Full-color, full-bleed printing
  • Silver colored metal key ring with plastic snap ring
  • Light and waterproof
Designer Tip: To ensure the highest quality print, please note that this product’s customizable design area measures 2” in diameter. For best results please add 1/16" bleed

About This Design

Keychain: Zernike polynomial Z(8,4) Keychain

Keychain: Zernike polynomial Z(8,4) Keychain

In 1933, Nobel Laureate Frits Zernike published a set of orthogonal polynomials designed to span the unit disc for the purpose of describing the aberrations of a circular mirror. Today these same polynomials are used to codify the imperfections in optical systems such as telescopes. Ophthalmologists and optometrists use them in wavefront guided vision correction. This magnet features the Zernike polynomial of order 8 and angular frequency 4, a complex valued function.

Customer Reviews

4.6 out of 5 stars rating5.4K Total Reviews
4175 total 5-star reviews779 total 4-star reviews209 total 3-star reviews113 total 2-star reviews95 total 1-star reviews
5,371 Reviews
Reviews for similar products
5 out of 5 stars rating
By linda f.June 18, 2025Verified Purchase
Premium Round, Small (1.44")
So cute and this is perfect!!!
5 out of 5 stars rating
By Zali O.August 9, 2023Verified Purchase
Aluminum Circle, 2"
Zazzle Reviewer Program
These are so cute and beautiful made. Printing is good clear
5 out of 5 stars rating
By Jessica K.March 2, 2023Verified Purchase
Aluminum Circle, 2"
Zazzle Reviewer Program
These keychains were perfect for our 5th grade traveling volleyball team. I just added a tassle, and they were the perfect gift! .

Tags

Keychains
zernikediscpolynomialscircleorthogonaloverunittelescopes
All Products
zernikediscpolynomialscircleorthogonaloverunittelescopes

Other Info

Product ID: 146210567012114943
Created on: 6/14/2009, 11:38 AM
Rating: G