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On the fortieth anniversary of Calvin and Hobbs. Based on this
strip from 1992.
https://www.reddit.com/r/calvinandhobbes/comments/u51he5/what_story_would_you_like_tonight/#lightbox
3 views
#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt
The achromatic axis is the diagonal connecting \((0,0,0,0)\) to \((1,1,1,1)\). The color tesseract has 2 achromatic vertices and 14 chromatic vertices. The saturation of a \((\chi_1,\chi_2,\chi_3,\chi_4)\) color is its distance from the achromatic axis. Maximum saturation occurs at the 14 chromatic vertices
Removing the achromati
2 views
#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt
The spectral locus is the image of the quadruple of spectral sensitivity curves, \((\chi_1(\nu), \chi_2(\nu), \chi_3(\nu), \chi_4(\nu))\), where \(\nu\) varies across the visible spectrum. Its image is 6 edges from \((1,0,0,0)\) to \((0,0,0,1)\).
The path of length 2 connecting \((0,0,0,1)\) back to \((1,0,0,0)\) is the "line"
1 views
#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt
The hue octagon is symmetric under a rotary reflection by a quarter turn (the symmetry of a tennis ball seam) like here @GerardWestendorp
https://mathstodon.xyz/@GerardWestendorp/116489390390156043
The rotation axis passes through the 2 nonspectral secondary hues. The color complement of each tetrachromatic hue is the point on the op
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🔥 Top post: On the fortieth anniversary of Calvin and Hobbs. Based on this · 16 likes + reposts
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🔥 Top post
On the fortieth anniversary of Calvin and Hobbs. Based on this
strip from 1992.
https://www.reddit.com/r/calvinandhobbes/comments/u51he5/what_story_would_you_like_tonight/#lightbox
#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt
The hue octagon is symmetric under a rotary reflection by a quarter turn (the symmetry of a tennis ball seam) like here @GerardWestendorp
https://mathstodon.xyz/@GerardWesten…
#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt
The spectral locus is the image of the quadruple of spectral sensitivity curves, \((\chi_1(\nu), \chi_2(\nu), \chi_3(\nu), \chi_4(\nu))\), where \(\nu\) varies across the vis…
#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt
The achromatic axis is the diagonal connecting \((0,0,0,0)\) to \((1,1,1,1)\). The color tesseract has 2 achromatic vertices and 14 chromatic vertices. The saturation of a …
#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt
The visible spectrum is a line segment in frequency space for light. It is naturally embedded in 4 edges of the hue hexagon. This is shown in the previous figure. We let t…
#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt
The set of all \((r,g,b)\) values for monochromatic light is the color cube \([0,1]^3\) shown in the figure. More generally each \((r,g,b)\) in the color cube generates some…
#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt
The youtube video by Ooqui, linked to in this Mathstodon post by @graveolensa
https://mathstodon.xyz/@graveolensa/115885487505867437
is about people with 4 color cones having…
The youtube channel Tibees recently posted a nice half-hour video titled "Fibonacci slop is out of control". It discusses the difference between being inspired by Fibonacci numbers to study math and making myths with Fibonacci numbers.
ht…
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My book with @jyoshimi on Braitenberg vehicles was published just this week.
https://mitpress.mit.edu/9780262548199/the-open-dynamics-of-braitenberg-vehicles/
Braitenberg vehicles were conceived of by V. Braitenberg at MIT to demonstrat…
Pairs of Braitenberg vehicles can also produce trajectories with frieze group symmetry. One way this can happen is by having the first vehicle pursue the second while the second vehicle avoids the first. When the pursuer moves a little f…
The trajectories in the model for deformable droplets in an active nematic fluid provide interesting examples of planar curves with glide reflection symmetry. The trajectories consist of a sequence of long spiral arcs alternately coiling …
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