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Geometry of Art and Nature Illustrations

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Contact: F.X.Timmes
my one page vitae,
full vitae,
research statement, and
teaching statement.

Here are some of the illustrations I made for my Geometry of Art and Nature course, where you can see these illustrations in action. Some are simple, some are not. Click an image to get a glorious vector graphics version which you are free to modify.

Basics and Celtic Knots
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angles0
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angles
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circle_area
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euclid_prop10
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euclid_prop
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isosceles_trapazoid_area
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parallelogram_area
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perimeter
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pythagorean
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quadrilaterals
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quad_sum_angles
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rectangle_area
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triangle_area
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triangle_types1
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triangle_types2



Golden Ratio
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golden_pentagon
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golden_ratio1
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golden_ratio2
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golden_rectangle
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golden_rectangle2
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golden_triangle1
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golden_triangle2
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great_pyramid
Seedhead Phyllotaxis movies



Fibonacci & Phyllotaxis

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fib_golden_ratio
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fib_rabbits
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fib_spiral
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honeybee1
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honeybee2
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packing1
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packing1
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phi_turns



Here are the nifty animations that I use in my Geometry of Art and Nature class.


Regular & Semiregular tilings

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all3_regular
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hexagon_cube
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notregular_square_tile
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regular_hepta_octa_tile
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regular_hexagon_tile
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regular_hexagon_vtile
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regular_pentagon_tile
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regular_polygons
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regular_square_tile
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regular_square_vtile
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regular_triangle_tile
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regular_triangle_vtile
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all8_semireg
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semi_3_12_12
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semi_3_3_3_3_6
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semi_3_3_3_4_4
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semi_3_3_4_3_4
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semi_3_4_6_4
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semi_3_6_3_6
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semi_4_6_12
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semi_4_8_8
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semireg_3_12_12
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semireg_3_12_12_wire
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semireg_3_3_3_3_6
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semireg_3_3_3_3_6_wire
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semireg_3_3_3_4_4
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semireg_3_3_3_4_4_wire
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semireg_3_3_4_3_4
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semireg_3_3_4_3_4_wire
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semireg_3_4_6_4
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semireg_3_4_6_4_wire
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semireg_3_6_3_6
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semireg_3_6_3_6_wire
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semireg_4_6_12
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semireg_4_6_12_wire
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semireg_4_8_8
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semireg_4_8_8_wire





Irregular tilings

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any_parallelogram_tiles
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any_quadrilateral_tiles

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any_triangle_tiles
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cairo_pentagon_tile
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cairo_pentagon_tile_color
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cairo_pentagon_tile_wire
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escher_e105
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escher_e108
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escher_e25
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escher_fishbird
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escher_horseman
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glide_reflection
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isometries
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monster_mix
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one_side_rot_square
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opposite_side_rhombus
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opposite_side_square
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penrose_tiles
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two_side_rot_square




Rosette & Frieze groups

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c7_sym
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folded_t
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folded_t_b
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frieze1
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frieze2
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hands
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hands_glide_reflect
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hands_hop
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hands_jump
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hands_reflect
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hands_rotate
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hands_sidestep
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hands_spinninghop
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hands_spinningjump
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hands_spinningsidestep
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hands_step
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hands_translate
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logo1



Wallpaper groups

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cm
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cmm
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p1
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p2
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p3
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p31m
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p3m1
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p4
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p4g
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p4m
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p6
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p6m
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pgg
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pm
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pmg
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pmm
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wallpaper_flowchart



Platonic solids

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polyhedra1
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polyhedra2
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hexahedrons
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cube_paths
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pyramids1
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pyramids2
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pyramids3
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pyramids4
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pyramids5
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prism1
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prism2
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prism3


Here are Platonic Solid nets

Here are Archemedan Solid nets


Non-Euclidean geometry

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circle_on_sphere
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great_circle
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great_circle2
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great_circle_triangles
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hyperboloid1
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hyperboloid1_expand
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poincare1
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poincare2
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poincare3
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triangle_geometries





Bubbles

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bubble_angles
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double_bubble1
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double_bubble2
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antibubble1
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antibubble2
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antibubble3



Fractals

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fracdim1
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fracdim2
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fracdim3
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fractal_landscape_how
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fractal_plant1
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iteration
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koch_snowflake
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sierpinski_triangle1
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sierpinski_triangle2
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sierpinski_triangle3
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sierpinski_triangle4
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windblow_plant