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Stan Wagon, coauthor of the award-winning article "A Stroll through the Gaussian Primes," became intrigued, and sent me these two stunning images. The first is a different rendering of the 2,956-cycle I posted earlier:
 Polygon Cycle http://cs.smith.edu/~orourke/MathOverflow/RedYellowCycle.jpg
The second is a Rorschach-like cycle of 316,268 primes he found:
 Rorschach Cycle http://cs.smith.edu/~orourke/MathOverflow/RorschachCycle.jpg
(seed: $232+277 i$). [Apologies for the loss of resolution converting for this forum.]

Soon there will be a Mathematica Demonstration Project on this topic; it currently awaits approval.

Update. The Mathematica Demo is available at this link:
            Mma Demo http://cs.smith.edu/~orourke/MathOverflow/GPrimeSpiralMmaDemo.jpg
Using a modification of this code, Stan has found a cycle of length 3,900,404. Seed: $107 + 992 i$.

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(*16Feb13*): Stan Wagon worked with Walter Stromquist, the editor of *[Mathematics Magazine][2]*, on the cover of the February 2013 issue, which displays the spiral immediately above:
                       MathMagCover http://cs.smith.edu/~orourke/MathOverflow/MMFeb13cover.jpg

Stan Wagon, coauthor of the award-winning article "A Stroll through the Gaussian Primes," became intrigued, and sent me these two stunning images. The first is a different rendering of the 2,956-cycle I posted earlier:
 
The second is a Rorschach-like cycle of 316,268 primes he found:
 
(seed: $232+277 i$). [Apologies for the loss of resolution converting for this forum.]

Soon there will be a Mathematica Demonstration Project on this topic; it currently awaits approval.

Update. The Mathematica Demo is available at this link:
           
Using a modification of this code, Stan has found a cycle of length 3,900,404. Seed: $107 + 992 i$.

---

(*16Feb13*): Stan Wagon worked with Walter Stromquist, the editor of *[Mathematics Magazine][2]*, on the cover of the February 2013 issue, which displays the spiral immediately above:
                      

Stan Wagon, coauthor of the award-winning article "A Stroll through the Gaussian Primes," became intrigued, and sent me these two stunning images. The first is a different rendering of the 2,956-cycle I posted earlier:
 Polygon Cycle http://cs.smith.edu/~orourke/MathOverflow/RedYellowCycle.jpg
The second is a Rorschach-like cycle of 316,268 primes he found:
 Rorschach Cycle http://cs.smith.edu/~orourke/MathOverflow/RorschachCycle.jpg
(seed: $232+277 i$). [Apologies for the loss of resolution converting for this forum.]

Soon there will be a Mathematica Demonstration Project on this topic; it currently awaits approval.

Update. The Mathematica Demo is available at this link:
            Mma Demo http://cs.smith.edu/~orourke/MathOverflow/GPrimeSpiralMmaDemo.jpg
Using a modification of this code, Stan has found a cycle of length 3,900,404. Seed: $107 + 992 i$.

                       MathMagCover http://cs.smith.edu/~orourke/MathOverflow/MMFeb13cover.jpg

Stan Wagon, coauthor of the award-winning article "A Stroll through the Gaussian Primes," became intrigued, and sent me these two stunning images. The first is a different rendering of the 2,956-cycle I posted earlier:
 Polygon Cycle http://cs.smith.edu/~orourke/MathOverflow/RedYellowCycle.jpg
The second is a Rorschach-like cycle of 316,268 primes he found:
 Rorschach Cycle http://cs.smith.edu/~orourke/MathOverflow/RorschachCycle.jpg
(seed: $232+277 i$). [Apologies for the loss of resolution converting for this forum.]

Soon there will be a Mathematica Demonstration Project on this topic; it currently awaits approval.

Update. The Mathematica Demo is available at this link:
            Mma Demo http://cs.smith.edu/~orourke/MathOverflow/GPrimeSpiralMmaDemo.jpg
Using a modification of this code, Stan has found a cycle of length 3,900,404. Seed: $107 + 992 i$.

---

(*16Feb13*): Stan Wagon worked with Walter Stromquist, the editor of *[Mathematics Magazine][2]*, on the cover of the February 2013 issue, which displays the spiral immediately above:
                       MathMagCover http://cs.smith.edu/~orourke/MathOverflow/MMFeb13cover.jpg

Stan Wagon, coauthor of the award-winning article "A Stroll through the Gaussian Primes," became intrigued, and sent me these two stunning images. The first is a different rendering of the 2,956-cycle I posted earlier:
 Polygon Cycle http://cs.smith.edu/~orourke/MathOverflow/RedYellowCycle.jpg
The second is a Rorschach-like cycle of 316,268 primes he found:
 Rorschach Cycle http://cs.smith.edu/~orourke/MathOverflow/RorschachCycle.jpg
(seed: $232+277 i$). [Apologies for the loss of resolution converting for this forum.]

Soon there will be a Mathematica Demonstration Project on this topic; it currently awaits approval.

Update. The Mathematica Demo is available at this link:
            Mma Demo http://cs.smith.edu/~orourke/MathOverflow/GPrimeSpiralMmaDemo.jpg
Using a modification of this code, Stan has found a cycle of length 3,900,404. Seed: $107 + 992 i$.

Stan Wagon, coauthor of the award-winning article "A Stroll through the Gaussian Primes," became intrigued, and sent me these two stunning images. The first is a different rendering of the 2,956-cycle I posted earlier:
 Polygon Cycle http://cs.smith.edu/~orourke/MathOverflow/RedYellowCycle.jpg
The second is a Rorschach-like cycle of 316,268 primes he found:
 Rorschach Cycle http://cs.smith.edu/~orourke/MathOverflow/RorschachCycle.jpg
(seed: $232+277 i$). [Apologies for the loss of resolution converting for this forum.]

Soon there will be a Mathematica Demonstration Project on this topic; it currently awaits approval.

Update. The Mathematica Demo is available at this link:
            Mma Demo http://cs.smith.edu/~orourke/MathOverflow/GPrimeSpiralMmaDemo.jpg
Using a modification of this code, Stan has found a cycle of length 3,900,404. Seed: $107 + 992 i$.

                       MathMagCover http://cs.smith.edu/~orourke/MathOverflow/MMFeb13cover.jpg