Roice

@roice713

Exploring mathematics through visualization.

Vrijeme pridruživanja: srpanj 2016.

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  1. Prikvačeni tweet
    21. ožu 2019.
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  2. proslijedio/la je Tweet
    29. sij

    I’m back! Having a busy month moving and settling in , but this hasn’t totally kept me away from making cool pictures :) Here’s a depiction of an Anosov mapping class on a torus 1/n

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  3. proslijedio/la je Tweet
    29. sij

    Dodacedra growing until they fill the hyperbolic space. Each has an inscribed cube. While these cubes do not fill the hyperbolic space (only 40%), the rest can be filled with the same cubes (12-hedron = cube + 6 quartercubes). (Observed by MagmaMcFry in the HyperRogue discord.)

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  4. proslijedio/la je Tweet
    23. sij

    In the hyperbolic plane objects wrap in an interesting way. From the centre of the fundamental polygon they act in the same way as in the euclidean plane, leaving one side and appearing at the opposite side, but elsewhere the sides pair in a less obvious way.

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  5. proslijedio/la je Tweet
    10. sij

    Flying through a highly symmetric hyperbolic manifold. See also for another version/more. The space is constructed from 120 {5,3,5} dodecahedra.

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  6. proslijedio/la je Tweet
    2. sij

    The {7,3,3} honey combe 3D print designed by gives quite a nice light if you put a bright LED undeneath it. In this case a phone.

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  7. proslijedio/la je Tweet
    29. pro 2019.

    More hyperbolic Moiré patterns. The two interfering patterns are the same as yesterday, but this time the moving one rotates.

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  8. proslijedio/la je Tweet
    28. pro 2019.

    Screen capture of a work in progress---a point cloud WebGL visualization app for things other than Fuchsian groups!

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  9. proslijedio/la je Tweet
    29. pro 2019.

    At this semester, Matthias Goerner made an in-space viewer for hyperbolic 3-manifolds in the geometry/topology software SnapPy starting from our cohomology fractals code. We're still working on it, but here's a path through Dehn surgery space for the fig 8 knot complement.

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  10. proslijedio/la je Tweet
    28. pro 2019.

    Hyperbolic Moiré patterns, a rich idea suggested by . This was made using two identical patterns having [3,7] symmetry, one fixed and the other translating.

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  11. proslijedio/la je Tweet
    24. pro 2019.
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  12. proslijedio/la je Tweet
    23. pro 2019.
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  13. proslijedio/la je Tweet
    20. pro 2019.

    The video wherein , and I finally explain what these cohomology fractals are:

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  14. 14. pro 2019.

    I like this little succulent Sarah picked up for us. The hyperbolic leaves wrinkle slowly, which means they have a relatively large radius of curvature.

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  15. proslijedio/la je Tweet
    12. pro 2019.

    My Fuchsian group viewer just got some new features, including ability to turn the torus model inside out!

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  16. proslijedio/la je Tweet
    11. pro 2019.

    Big update to - we now have all of the manifolds in the orientable SnapPy census up to 7 tetrahedra, and sliders to make linear combinations of cohomology classes (try m129). With and .

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  17. proslijedio/la je Tweet
    5. pro 2019.

    Our 2019 Illustrating Mathematics Art Exhibit book is available for sale online! Enjoy the amazing works of art on display during the Illustrating Mathematics fall semester program! Makes a great gift, too! To purchase:

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  18. proslijedio/la je Tweet
    4. pro 2019.

    shown in the conformal square projection. Cantellated {16,3}.

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  19. 26. stu 2019.

    Peak life experience... tracking through the sky with a friend.

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  20. proslijedio/la je Tweet
    25. stu 2019.

    Art of the Day: by Roice Nelson, Software Developer, GE Aviation. {7,3,3} Hyperbolic Honeycomb 12 x 12 x 12 cm 3D printed sculpture 2017

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  21. proslijedio/la je Tweet
    13. stu 2019.
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