User Portlet
Featured Contributor
Clayton Shonkwiler
Colorado State University
LOCATION: Fort Collins, CO
WEBSITE: http://shonkwiler.org
INTERESTS IN JOBS & NETWORKING:
ABOUT ME:
I am a mathematician and artist.
I am interested in geometric models of physical systems; currently I'm mostly focused on geometric approaches to studying random walks with topological constraints, which are used to model polymers.
My art is often inspired by the mathematics that arise in my research and teaching, but more generally I enjoy turning interesting and non-trivial mathematics into art.
Prints available at https://shonkwiler.org/store
STAFF PICKS:
- [GIF] Enneper surface + an introduction
- [GIF] The Chase (real part of Klein quartic)
- [GIF] Pushed Around (a geodesic in pentagon space)
- [GIF] Triakis (Cross sections of the triakis icosahedron)
- [GIF] Cantellation (Cross sections of the 16-cell)
- [GIF] Reveal (The torus in relief)
- [GIF] Come Back (Fun with the square)
- [GIF] Derange (Deforming a plain weave)
- [GIF] Coalesce (Deforming an isometric pattern)
- [GIF] Twinkle (Pseudo-randomly located oscillators)
- [GIF] Bridges (Many Brownian bridges)
- [GIF] Interchange (approximate Fourier polynomials)
- [GIF] Closing In (Hexagonal tiling morph)
- [GIF] Phoenix (Contours of a singular surface)
- [GIF] Flap (Deformations of the Cairo tiling)
- [GIF] Take Flight (Another Cairo tiling animation)
- [GIF] Anything Goes (Quadrilateral tessellations)
- [GIF] Stepper (Two tessellations)
- [GIF] Because It's There (Contour animation)
- [GIF] Group Work (Families of rhombuses)
- [GIF] Stay Connected (Rhombus tiling deformation)
- [GIF] Left or Right? (Rotating Roman surface)
- [GIF] Making Tracks (Deformations of a spherical curve)
- [GIF] Turn Yourself Around (Turning lines)
- [GIF] Recapitulation (Fourier series with fivefold symmetry)
- [GIF] Perpetual (Parallelograms with vertices traversing four circles)
- [GIF] Reversible (String art)
- [GIF] Running in Place (String art animation)
- [GIF] Gridded (Associate family of Scherk's surfaces)
- [GIF] Step Forward (Volume-by-slices animation)
- [GIF] Inertia (Distorted grid)
- [GIF] Release (Flapping triangular grid)
- [GIF] Modular (Point orbit under the action of the modular group)
- [GIF] Drumbeat (Vibration mode of a circular drum)
- [GIF] Compression (Deforming the hex lattice)
- [GIF] Square Up (Trig surface animation)
- [GIF] The Band Plays On (Chladni figures for a square drum)
- [GIF] Shock (Spinning squares)
- [GIF] Good Vibrations (Chladni patterns on the disk)
- [GIF] Magic Carpet (Plane waves)
- [GIF] Catecoid (Catenoid/Helicoid associate family)
- [GIF] Hidden Depths (Reflections in a Disk)
- [GIF] Exchange (Interchanging cubes)
- [GIF] A to Z (Image morph)
- [GIF] Center of Mass (Conformal transformations)
- [GIF] Cloud (Configuration space of pentagons)
- [GIF] Give Me Some Space (Rectification of the Tetrahedron)
- [GIF] Stripes (Hyperbolic geodesics)
- [GIF] Back Away (Alternated cubic honeycomb)
- [GIF] Move Along (Envelopes of conic sections)
- [GIF] Up and Down (Broken triangular grid)
- [GIF] Hamiltonian (Circuit of octahedra)
- [GIF] Around and Around (Stereographic projection of rotating circles)
- [GIF] Source (Expanding diamonds)
- [GIF] Things That Go Bump in the Night (Vibrational mode of the triangle)
- [GIF] Re-Tie (Torus knot morph)
- [GIF] Isogonal (Isogonal conjugates of edge parallels)
- [GIF] Isotomic (Isotomic conjugates of edge parallels)
- [GIF] Step Out (Recursive triangle morph)
- [GIF] Advance (Morphing squares)
- [GIF] Go Deeper (Whirl infinite zoom)
- [GIF] Come Together (Spinning hexagons)
- [GIF] Turn, Magic Wheel (Spinning squares)
- [GIF] Canis (Circle transformation)
- [GIF] Bessel (Taylor approximations to a Bessel function)
- [GIF] Toss (Projectile envelope)
- [GIF] Fire in the Hole (Spheres on logarithmic spirals)
- [GIF] Inner Light (Möbius transformations of the sphere)
- [GIF] Interlock (Rotating Clifford torus/Hopf fibration)
- [GIF] Renewable Resource (More Möbius transformations of the sphere)
- [GIF] Horizon (Marching lines)
- [GIF] Going Nowhere (Sphere with loxodromic trajectories)
- [GIF] Orthoplex (Stereographic projection of a rotating 16-cell)
- [GIF] Inevitability ((7, 3)-torus knot)
- [GIF] Back and Forth (Möbius transformations of the circle)
- [GIF] Stereo Vision (Stereographic projection of a (24, 23)-torus knot)
- [GIF] Grassfire (Parallels of the limaçon trisectrix)
- [GIF] Circle Back (Stereographic recursive circle packing)
- [GIF] Self-Dual (Rotating 24-cell)
- [GIF] Part of the Journey (Conformally transformed hex circle packing)
- [GIF] Pack It In (Stereographic projection of circles)
- [GIF] Eyes Wide (Stereographic projection of spherical circle packing)
- [GIF] Osculating (Osculating circles to a polar curve)
- [GIF] Bertrand Pairs (Bertrand pairs of a helix)
- [GIF] Thread the Needle (Envelope of an ellipse)
- [GIF] Grid (Transformation of the square grid)
- [GIF] Trifolium (Envelope of the trifolium curve)
- [GIF] Vitals (Animated von Mises distribution)
- [GIF] Flat (Stereographic projection of flat torus)
- [GIF] Who's the Boss? (Stereographic projection of a pyramid)
- [GIF] Send/Receive (Stereographic projection of latitude/longitude grid)
- [GIF] Touch Em All (Hamiltonian cycle on the hypercube)
- [GIF] Inside (Stereographic projection of points on the Clifford torus)
- [GIF] Microcosm (Stereographic projection of cube grid)
- [GIF] Fall Out (Rotating circle on the projective plane)
- [GIF] Throw (Hamiltonian cycle on the 120-cell)
- [GIF] How Does That Work? (Hamiltonian cycle on the 5-cell)
- [GIF] All Day (Hamiltonian cycle on the 24-cell)
- Platonic (Stereographic projections of the Platonic solids)
- [GIF] Small Changes (Hamiltonian cycle on the great rhombicosidodecahedron)
- [GIF] Caught (Voronoi cells of stereographically projected pattern)
- [GIF] Loxo (Voronoi cells of stereographically projected loxodrome points)
- [GIF] Twist (Spinning lines)
- [GIF] Fall In (Stereographic projection of dots on the sphere)
- [GIF] Follow Through (Morphing 11-pointed star)
- [GIF] Unfold (Octagon to 16-gon transition)
- [GIF] In Balance (Mercator projection of concentric circles on the sphere)
- [GIF] Map (Mercator projection of great circles)
- [GIF] Power Surge (Mercator projection of level sets)
- [GIF] Omnes Pro Uno (Mercator projection of level sets of dot product sum)
- [GIF] This is Only a Test (Decagons from stereographic projections)
- [GIF] J34 (Hopf projection of the 600-cell)
- [GIF] Double Projection (Projected rotating 16-cell)
- [GIF] Rolling (Circles rolling inside a circle)
- [GIF] Bounce ((3,1)+(1,3) vibration mode of a square membrane)
- [GIF] Dance (Chladni figures for a square drum)
- [GIF] Fitting In (Stereographic projection of 124-circle packing on sphere)
- [GIF] Dropped Call (Histogram of Dirichlet-distributed barycentric coords)
- [GIF] Recede (Concentric circles gradient)
- [GIF] Minimal (Rotating minimal lattice trefoil knot)
- [GIF] Symmetric Minimality (symmetric lattice trefoil knot)
- [GIF] BCC (Minimal figure-eight knot on the body-centered cubic lattice)
- [GIF] Home on the Range (Rotating minimal 7_7 on the BCC lattice)
- [GIF] Master Control Program (Minimal 7_4 knot on the simple cubic lattice)
- [GIF] Five Easy Pieces (Rotating truncation of the tetrahedron)
- [GIF] Pathways (Some random paths on the sphere)
- [GIF] Schools Out (Stereographic projection of random sphere paths)
- [GIF] Framing (Morph between +3-framed and 0-framed 200-gons)
- [GIF] Cube Life (Stereographic projection of rotating cube vertices)
- [GIF] :eyes: (Infinite Steiner chain)
- [GIF] :globe_with_meridians: (Inverse Cayley transform of contours of log)
- [GIF] :globe_with_meridians: (Inverse Cayley transform of contours of log)
- [GIF] :christmas_tree: (Conformal map of upper half-plane to triangle)
- [GIF] Fourth Power (Fourth power of a square grid in the complex plane)
- [GIF] Rotation Redux (Inverse Cayley transform of rotating grid of circles)
- [GIF] Square Grid (Schwarz–Christoffel mapping from circle to square)
- [GIF] Nines (Minimum-stick 9-crossing knots)
- [GIF] Vanishing Point (Conformal image of a vertical grid)
- [GIF] Rise (Conformal image of parallel lines)
- [GIF] Omnitruncated (More permutohedra)
- [GIF] ■□ (Rotating blocks)
- [GIF] Cross Sections (Slices of the cuboctahedron)
- [GIF] △▽ (Morphing triangle grid)
- [GIF] Wrap: wrapping lines around a circle
- [GIF] Between (Stereographic projection of circles of latitude)
- [GIF] Riemann Hypothesis video from Quanta Magazine
- [GIF] To Infinity ((2,1) torus knot)
- [GIF] Dawn (Image of square grid under cosine)
- [GIF] Snap to Grid (Deforming the square grid)
- [GIF] Obfuscate (Repeated pattern)
- [GIF] Scherk surface and family resemblance
- [GIF] Sweep Out
- [GIF] Ennea (nonagons centered on unit circle)
- [GIF] Ruled