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#genuary7 — Public Fediverse posts

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  1. What happens when you take a binary image and XOR every pixel with the one to its right? (The rightmost one gets XORed with the leftmost)

    Prompt: Boolean algebra

    #genuary2026 #genuary7 #genuary

  2. Back on my #genuary stuff but I'm a week out of phase, here's a simple Boolean hack which makes a Sierpinski gasket

    #genuary7 #genuary

    etc.mikelynch.org/genuary26/07

  3. Back on my #genuary stuff but I'm a week out of phase, here's a simple Boolean hack which makes a Sierpinski gasket

    #genuary7 #genuary

    etc.mikelynch.org/genuary26/07

  4. Back on my #genuary stuff but I'm a week out of phase, here's a simple Boolean hack which makes a Sierpinski gasket

    #genuary7 #genuary

    etc.mikelynch.org/genuary26/07

  5. Back on my #genuary stuff but I'm a week out of phase, here's a simple Boolean hack which makes a Sierpinski gasket

    #genuary7 #genuary

    etc.mikelynch.org/genuary26/07

  6. Here are all the minimal generating sets of the Boolean algebra over four elements.

    I think I have given up on trying to make this more virtually interesting -- I think there is just not enough structure to work with. :(

    The Boolean algebra/lattice here is all subsets of {A, B, C, D}, ordered by subset inclusion. A generator for this set is a set of sets, such that the entire algebra can be generated by unions, intersections, and complements. For example, {A}, {B}, {C} is a generator because we can get {A, B, C} via union, {D} via complement, and then build all the rest of the sets from those singletons.

    #genuary2026 #genuary7 #genuary

  7. Here are all the minimal generating sets of the Boolean algebra over four elements.

    I think I have given up on trying to make this more virtually interesting -- I think there is just not enough structure to work with. :(

    The Boolean algebra/lattice here is all subsets of {A, B, C, D}, ordered by subset inclusion. A generator for this set is a set of sets, such that the entire algebra can be generated by unions, intersections, and complements. For example, {A}, {B}, {C} is a generator because we can get {A, B, C} via union, {D} via complement, and then build all the rest of the sets from those singletons.

    #genuary2026 #genuary7 #genuary

  8. Here are all the minimal generating sets of the Boolean algebra over four elements.

    I think I have given up on trying to make this more virtually interesting -- I think there is just not enough structure to work with. :(

    The Boolean algebra/lattice here is all subsets of {A, B, C, D}, ordered by subset inclusion. A generator for this set is a set of sets, such that the entire algebra can be generated by unions, intersections, and complements. For example, {A}, {B}, {C} is a generator because we can get {A, B, C} via union, {D} via complement, and then build all the rest of the sets from those singletons.

    #genuary2026 #genuary7 #genuary

  9. Here are all the minimal generating sets of the Boolean algebra over four elements.

    I think I have given up on trying to make this more virtually interesting -- I think there is just not enough structure to work with. :(

    The Boolean algebra/lattice here is all subsets of {A, B, C, D}, ordered by subset inclusion. A generator for this set is a set of sets, such that the entire algebra can be generated by unions, intersections, and complements. For example, {A}, {B}, {C} is a generator because we can get {A, B, C} via union, {D} via complement, and then build all the rest of the sets from those singletons.

    #genuary2026 #genuary7 #genuary

  10. Here are all the minimal generating sets of the Boolean algebra over four elements.

    I think I have given up on trying to make this more virtually interesting -- I think there is just not enough structure to work with. :(

    The Boolean algebra/lattice here is all subsets of {A, B, C, D}, ordered by subset inclusion. A generator for this set is a set of sets, such that the entire algebra can be generated by unions, intersections, and complements. For example, {A}, {B}, {C} is a generator because we can get {A, B, C} via union, {D} via complement, and then build all the rest of the sets from those singletons.

    #genuary2026 #genuary7 #genuary

  11. #genuary7 - Boolean Algebra.
    Blending images with continuous versions of all 16 logic gates.
    shadertoy.com/view/3cKfWt

  12. For #genuary7, Boolean Algebra, this image simulates a set of stacked logic gates, with gate type and signal state represented by colors.

    #genuary #genuary2026 #boolean #logicgate

  13. For #genuary7, Boolean Algebra, this image simulates a set of stacked logic gates, with gate type and signal state represented by colors.

    #genuary #genuary2026 #boolean #logicgate

  14. For #genuary7, Boolean Algebra, this image simulates a set of stacked logic gates, with gate type and signal state represented by colors.

    #genuary #genuary2026 #boolean #logicgate

  15. For #genuary7, Boolean Algebra, this image simulates a set of stacked logic gates, with gate type and signal state represented by colors.

    #genuary #genuary2026 #boolean #logicgate

  16. For #genuary7, Boolean Algebra, this image simulates a set of stacked logic gates, with gate type and signal state represented by colors.

    #genuary #genuary2026 #boolean #logicgate

  17. Some 7-way radial XORs

    I like the pareidolia effect of seeing the occasional angels and demons around the edges like the ceiling of a gothic cathedral.

    #Genuary7 Boolean algebra

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  18. Some 7-way radial XORs

    I like the pareidolia effect of seeing the occasional angels and demons around the edges like the ceiling of a gothic cathedral.

    #Genuary7 Boolean algebra

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  19. Some 7-way radial XORs

    I like the pareidolia effect of seeing the occasional angels and demons around the edges like the ceiling of a gothic cathedral.

    #Genuary7 Boolean algebra

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  20. Some 7-way radial XORs

    I like the pareidolia effect of seeing the occasional angels and demons around the edges like the ceiling of a gothic cathedral.

    #Genuary7 Boolean algebra

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  21. Some 7-way radial XORs

    I like the pareidolia effect of seeing the occasional angels and demons around the edges like the ceiling of a gothic cathedral.

    #Genuary7 Boolean algebra

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  22. Genuary 2026 Day 7: "Boolean algebra. Get inspired by Boolean algebra, in any way."

    It did say "in any way". So I went with circles from a venn diagram and got the colors by randomly sampling pixels in an existing image: the red flower drawing I used yesterday.

    #Genuary2026 #Genuary7 #Genuary #CreativeCoding #ProceduralArt #GenerativeArt

  23. Genuary 2026 Day 7: "Boolean algebra. Get inspired by Boolean algebra, in any way."

    It did say "in any way". So I went with circles from a venn diagram and got the colors by randomly sampling pixels in an existing image: the red flower drawing I used yesterday.

    #Genuary2026 #Genuary7 #Genuary #CreativeCoding #ProceduralArt #GenerativeArt

  24. Genuary 2026 Day 7: "Boolean algebra. Get inspired by Boolean algebra, in any way."

    It did say "in any way". So I went with circles from a venn diagram and got the colors by randomly sampling pixels in an existing image: the red flower drawing I used yesterday.

    #Genuary2026 #Genuary7 #Genuary #CreativeCoding #ProceduralArt #GenerativeArt

  25. Genuary 2026 Day 7: "Boolean algebra. Get inspired by Boolean algebra, in any way."

    It did say "in any way". So I went with circles from a venn diagram and got the colors by randomly sampling pixels in an existing image: the red flower drawing I used yesterday.

    #Genuary2026 #Genuary7 #Genuary #CreativeCoding #ProceduralArt #GenerativeArt

  26. Genuary 2026 Day 7: "Boolean algebra. Get inspired by Boolean algebra, in any way."

    It did say "in any way". So I went with circles from a venn diagram and got the colors by randomly sampling pixels in an existing image: the red flower drawing I used yesterday.

    #Genuary2026 #Genuary7 #Genuary #CreativeCoding #ProceduralArt #GenerativeArt

  27. Radial XOR

    #Genuary7 Boolean algebra

    (x ^ y) mod n creates a fancy pattern along the x- and y-axes. genart.social/@scdollins/11176

    If we add more axes, the irrationality breaks into chaos, but near the origin we get some rather dramatic symmetries.

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  28. Radial XOR

    #Genuary7 Boolean algebra

    (x ^ y) mod n creates a fancy pattern along the x- and y-axes. genart.social/@scdollins/11176

    If we add more axes, the irrationality breaks into chaos, but near the origin we get some rather dramatic symmetries.

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  29. Radial XOR

    #Genuary7 Boolean algebra

    (x ^ y) mod n creates a fancy pattern along the x- and y-axes. genart.social/@scdollins/11176

    If we add more axes, the irrationality breaks into chaos, but near the origin we get some rather dramatic symmetries.

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  30. Radial XOR

    #Genuary7 Boolean algebra

    (x ^ y) mod n creates a fancy pattern along the x- and y-axes. genart.social/@scdollins/11176

    If we add more axes, the irrationality breaks into chaos, but near the origin we get some rather dramatic symmetries.

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  31. Radial XOR

    #Genuary7 Boolean algebra

    (x ^ y) mod n creates a fancy pattern along the x- and y-axes. genart.social/@scdollins/11176

    If we add more axes, the irrationality breaks into chaos, but near the origin we get some rather dramatic symmetries.

    #Genuary #Genuary2026 #AlgorithmicArt #CreativeCoding #Processing #glsl #shaders

  32. Genuary day 7: Boolean Algebra

    This is an older project and slightly useless. You can find the sketches on openprocessing:

    Colour VennDetta -openprocessing.org/sketch/2634

    and

    Colour VennDango - openprocessing.org/sketch/2635

    Both sketches show logical relations AND, NAND, OR etc. of the colour channels r, g ,b of two given colours (the colour values are given as binaries for this purpose and the relations are calculated bitwise).

    VennDetta is a little interactive; in VennDango, every relation is reduced to a sequence of NAND operations.

    #genart #mathart #processing #creaticecoding #genuary7 #genuary2026

  33. Genuary day 7: Boolean Algebra

    This is an older project and slightly useless. You can find the sketches on openprocessing:

    Colour VennDetta -openprocessing.org/sketch/2634

    and

    Colour VennDango - openprocessing.org/sketch/2635

    Both sketches show logical relations AND, NAND, OR etc. of the colour channels r, g ,b of two given colours (the colour values are given as binaries for this purpose and the relations are calculated bitwise).

    VennDetta is a little interactive; in VennDango, every relation is reduced to a sequence of NAND operations.

    #genart #mathart #processing #creaticecoding #genuary7 #genuary2026

  34. Genuary day 7: Boolean Algebra

    This is an older project and slightly useless. You can find the sketches on openprocessing:

    Colour VennDetta -openprocessing.org/sketch/2634

    and

    Colour VennDango - openprocessing.org/sketch/2635

    Both sketches show logical relations AND, NAND, OR etc. of the colour channels r, g ,b of two given colours (the colour values are given as binaries for this purpose and the relations are calculated bitwise).

    VennDetta is a little interactive; in VennDango, every relation is reduced to a sequence of NAND operations.

    #genart #mathart #processing #creaticecoding #genuary7 #genuary2026

  35. Genuary day 7: Boolean Algebra

    This is an older project and slightly useless. You can find the sketches on openprocessing:

    Colour VennDetta -openprocessing.org/sketch/2634

    and

    Colour VennDango - openprocessing.org/sketch/2635

    Both sketches show logical relations AND, NAND, OR etc. of the colour channels r, g ,b of two given colours (the colour values are given as binaries for this purpose and the relations are calculated bitwise).

    VennDetta is a little interactive; in VennDango, every relation is reduced to a sequence of NAND operations.

    #genart #mathart #processing #creaticecoding #genuary7 #genuary2026