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Illustrating Mathematics

ICERM Semester Program Fall 2019

  • Projects
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Projects

Hyperbolic paper

Hyperbolic paper

Dyna3

Dyna3

Paper flat tori

Paper flat tori

SnapPy views

SnapPy views

Akiyama polyhedra

Akiyama polyhedra

Alexander Horned Sphere Jewelry

Alexander Horned Sphere Jewelry

3d printing algebraic surfaces

3d printing algebraic surfaces

Visualizing Card Shuffling and Permutations in 3D

Visualizing Card Shuffling and Permutations in 3D

Perspectives on the Hilbert Curve

Perspectives on the Hilbert Curve

Curvature Based Clothing

Curvature Based Clothing

Randomized Circle Packing

Randomized Circle Packing

Quilted Translation Surfaces

Quilted Translation Surfaces

Symmetry Generator

Symmetry Generator

Visualizing Rauzy fractals via finite directed graphs

Visualizing Rauzy fractals via finite directed graphs

Visualizing solutions to the Markoff-Hurwitz equation

Visualizing solutions to the Markoff-Hurwitz equation

Deformation of the Pythagorean Tree Fractal

Deformation of the Pythagorean Tree Fractal

3 Dimensional Deformations of Julia Sets

3 Dimensional Deformations of Julia Sets

Progressive Game State Sculputres

Progressive Game State Sculputres

Visualizing Algebraic Numbers

Visualizing Algebraic Numbers

Illustrating the substitution rule in a Penrose tiling

Illustrating the substitution rule in a Penrose tiling

Alexander’s horned sphere

Alexander’s horned sphere

Permutation puzzle

Permutation puzzle

Embedded Hyperbolic Tilings

Embedded Hyperbolic Tilings

A circle packing game

A circle packing game

Cross sections of star-crossed knots

Cross sections of star-crossed knots

Visualizing complex points of elliptic curves

Visualizing complex points of elliptic curves

Nonabelian SET

Nonabelian SET

Chain Mail, Knitting, and One- and Two-Periodic Knots

Chain Mail, Knitting, and One- and Two-Periodic Knots

Dead Reckoning Motion Capture

Dead Reckoning Motion Capture

Outer space for the free group of rank 3

Outer space for the free group of rank 3

3D Printing Mathematical Objects

3D Printing Mathematical Objects

Balls in Nil and Sol

Balls in Nil and Sol

Surface design patterns based on pentagonal tessellations

Surface design patterns based on pentagonal tessellations

Seeing p-adics

Seeing p-adics

3D Chip Firing

3D Chip Firing

Knitting Patterns and Chain Mail with 3D-Printed Ceramics

Knitting Patterns and Chain Mail with 3D-Printed Ceramics

Projective transformations for 3D models

Projective transformations for 3D models

Apollonian Circle Packing Art

Apollonian Circle Packing Art

A Complement of the Figure-Eight Knot

A Complement of the Figure-Eight Knot

Emergence of Hilbert

Emergence of Hilbert

Models for Surface Braids, Surface Knots, Singular Surfaces in 4-space, and Beyond

Models for Surface Braids, Surface Knots, Singular Surfaces in 4-space, and Beyond

Numberscope

Numberscope

Itajime Shibori Wallpapers

Itajime Shibori Wallpapers

Lasercut Catalan Solids

Lasercut Catalan Solids

Visualizing Sol 3-manifolds

Visualizing Sol 3-manifolds

Blooming Fibonacci Spirals

Blooming Fibonacci Spirals

Communicating Infinities

Communicating Infinities

Math Cartography

Math Cartography

Gnomonic Projection of the 600-cell

Gnomonic Projection of the 600-cell

The eversion game: Sphere eversion in virtual/augmented reality

The eversion game: Sphere eversion in virtual/augmented reality

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