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  1. Have you ever seen a fish quite like this?

    I love the combination of scientific precision and decorative beauty in these old natural history plates. The intricate scales and patterned fins are extraordinary.

    Available as prints through the gallery link in my bio.

    #Triggerfish #MarineLife #NaturalHistory #ScientificIllustration #VintageIllustration #Ocean #Ichthyology #ayearforart #buyintoart #mastoart #fediart #fedigiftshop #giftideas #art #artist #artwork #kunst #artforsale #artprints

  2. Have you ever seen a fish quite like this?

    I love the combination of scientific precision and decorative beauty in these old natural history plates. The intricate scales and patterned fins are extraordinary.

    Available as prints through the gallery link in my bio.

    #Triggerfish #MarineLife #NaturalHistory #ScientificIllustration #VintageIllustration #Ocean #Ichthyology #ayearforart #buyintoart #mastoart #fediart #fedigiftshop #giftideas #art #artist #artwork #kunst #artforsale #artprints

  3. Have you ever seen a fish quite like this?

    I love the combination of scientific precision and decorative beauty in these old natural history plates. The intricate scales and patterned fins are extraordinary.

    Available as prints through the gallery link in my bio.

    #Triggerfish #MarineLife #NaturalHistory #ScientificIllustration #VintageIllustration #Ocean #Ichthyology #ayearforart #buyintoart #mastoart #fediart #fedigiftshop #giftideas #art #artist #artwork #kunst #artforsale #artprints

  4. Have you ever seen a fish quite like this?

    I love the combination of scientific precision and decorative beauty in these old natural history plates. The intricate scales and patterned fins are extraordinary.

    Available as prints through the gallery link in my bio.

    #Triggerfish #MarineLife #NaturalHistory #ScientificIllustration #VintageIllustration #Ocean #Ichthyology #ayearforart #buyintoart #mastoart #fediart #fedigiftshop #giftideas #art #artist #artwork #kunst #artforsale #artprints

  5. Have you ever seen a fish quite like this?

    I love the combination of scientific precision and decorative beauty in these old natural history plates. The intricate scales and patterned fins are extraordinary.

    Available as prints through the gallery link in my bio.

    #Triggerfish #MarineLife #NaturalHistory #ScientificIllustration #VintageIllustration #Ocean #Ichthyology #ayearforart #buyintoart #mastoart #fediart #fedigiftshop #giftideas #art #artist #artwork #kunst #artforsale #artprints

  6. Spherical Harmonic

    You can build rectangular pulses from wavy sine and cosine functions. You can decompose any function into its harmonics. You can do the same for functions that live on a sphere: Cover the surface of the earth with flag poles, and raise flags everywhere - gradually varying the exact height of the flag. How the position of the flag depends on longitude and latitude - this is the function. If the height varies smoothly from flag pole to flag pole, this is a well-behaved function of the kind […]

    elkement.art/2026/08/13/spheri

  7. Spherical Harmonic

    You can build rectangular pulses from wavy sine and cosine functions. You can decompose any function into its harmonics. You can do the same for functions that live on a sphere: Cover the surface of the earth with flag poles, and raise flags everywhere - gradually varying the exact height of the flag. How the position of the flag depends on longitude and latitude - this is the function. If the height varies smoothly from flag pole to flag pole, this is a well-behaved function of the kind […]

    elkement.art/2026/08/13/spheri

  8. Spherical Harmonic

    You can build rectangular pulses from wavy sine and cosine functions. You can decompose any function into its harmonics. You can do the same for functions that live on a sphere: Cover the surface of the earth with flag poles, and raise flags everywhere - gradually varying the exact height of the flag. How the position of the flag depends on longitude and latitude - this is the function. If the height varies smoothly from flag pole to flag pole, this is a well-behaved function of the kind […]

    elkement.art/2026/08/13/spheri

  9. Spherical Harmonic

    You can build rectangular pulses from wavy sine and cosine functions. You can decompose any function into its harmonics. You can do the same for functions that live on a sphere: Cover the surface of the earth with flag poles, and raise flags everywhere - gradually varying the exact height of the flag. How the position of the flag depends on longitude and latitude - this is the function. If the height varies smoothly from flag pole to flag pole, this is a well-behaved function of the kind […]

    elkement.art/2026/08/13/spheri

  10. Spherical Harmonic

    You can build rectangular pulses from wavy sine and cosine functions. You can decompose any function into its harmonics. You can do the same for functions that live on a sphere: Cover the surface of the earth with flag poles, and raise flags everywhere - gradually varying the exact height of the flag. How the position of the flag depends on longitude and latitude - this is the function. If the height varies smoothly from flag pole to flag pole, this is a well-behaved function of the kind […]

    elkement.art/2026/08/13/spheri

  11. Geometry of the Motion of a Free Prolate Gyroscope (and the Power of Magnets)

    How should I spin the story of the gyroscope this time? Imagine, you have a wonderfully crafted elongated ellipsoid from wood (shaped like a rugby ball). You built some apparatus that make it spin fast about its major axis. Probably you can make it spin with your bare hands - or you ask a tentacled alien for help. The symmetry axis of the body, the axis of rotation, and the vector of angular momentum are all aligned. You or the alien or the apparatus fling the ellipsoid into the air, […]

    elkement.art/2026/08/06/geomet

  12. Geometry of the Motion of a Free Prolate Gyroscope (and the Power of Magnets)

    How should I spin the story of the gyroscope this time? Imagine, you have a wonderfully crafted elongated ellipsoid from wood (shaped like a rugby ball). You built some apparatus that make it spin fast about its major axis. Probably you can make it spin with your bare hands - or you ask a tentacled alien for help. The symmetry axis of the body, the axis of rotation, and the vector of angular momentum are all aligned. You or the alien or the apparatus fling the ellipsoid into the air, […]

    elkement.art/2026/08/06/geomet

  13. Geometry of the Motion of a Free Prolate Gyroscope (and the Power of Magnets)

    How should I spin the story of the gyroscope this time? Imagine, you have a wonderfully crafted elongated ellipsoid from wood (shaped like a rugby ball). You built some apparatus that make it spin fast about its major axis. Probably you can make it spin with your bare hands - or you ask a tentacled alien for help. The symmetry axis of the body, the axis of rotation, and the vector of angular momentum are all aligned. You or the alien or the apparatus fling the ellipsoid into the air, […]

    elkement.art/2026/08/06/geomet

  14. Geometry of the Motion of a Free Prolate Gyroscope (and the Power of Magnets)

    How should I spin the story of the gyroscope this time? Imagine, you have a wonderfully crafted elongated ellipsoid from wood (shaped like a rugby ball). You built some apparatus that make it spin fast about its major axis. Probably you can make it spin with your bare hands - or you ask a tentacled alien for help. The symmetry axis of the body, the axis of rotation, and the vector of angular momentum are all aligned. You or the alien or the apparatus fling the ellipsoid into the air, […]

    elkement.art/2026/08/06/geomet

  15. Geometry of the Motion of a Free Prolate Gyroscope (and the Power of Magnets)

    How should I spin the story of the gyroscope this time? Imagine, you have a wonderfully crafted elongated ellipsoid from wood (shaped like a rugby ball). You built some apparatus that make it spin fast about its major axis. Probably you can make it spin with your bare hands - or you ask a tentacled alien for help. The symmetry axis of the body, the axis of rotation, and the vector of angular momentum are all aligned. You or the alien or the apparatus fling the ellipsoid into the air, […]

    elkement.art/2026/08/06/geomet

  16. Osculating Circles Revisited

    Every squiggly line could be an image of the meandering trajectory of a particle. At each instant, the path has a direction and a curvature. Curvature can be represented by the circle that fits the curve best - the osculating circle. In a two-dimensional world, the osculating circles would lie flat in the same plane the tangent vectors are confined to. But in three dimensions also the "instantaneous plane" of the motion is changing. There are three vectors that describe the path in each […]

    elkement.art/2026/07/29/oscula

  17. Osculating Circles Revisited

    Every squiggly line could be an image of the meandering trajectory of a particle. At each instant, the path has a direction and a curvature. Curvature can be represented by the circle that fits the curve best - the osculating circle. In a two-dimensional world, the osculating circles would lie flat in the same plane the tangent vectors are confined to. But in three dimensions also the "instantaneous plane" of the motion is changing. There are three vectors that describe the path in each […]

    elkement.art/2026/07/29/oscula

  18. Osculating Circles Revisited

    Every squiggly line could be an image of the meandering trajectory of a particle. At each instant, the path has a direction and a curvature. Curvature can be represented by the circle that fits the curve best - the osculating circle. In a two-dimensional world, the osculating circles would lie flat in the same plane the tangent vectors are confined to. But in three dimensions also the "instantaneous plane" of the motion is changing. There are three vectors that describe the path in each […]

    elkement.art/2026/07/29/oscula

  19. Osculating Circles Revisited

    Every squiggly line could be an image of the meandering trajectory of a particle. At each instant, the path has a direction and a curvature. Curvature can be represented by the circle that fits the curve best - the osculating circle. In a two-dimensional world, the osculating circles would lie flat in the same plane the tangent vectors are confined to. But in three dimensions also the "instantaneous plane" of the motion is changing. There are three vectors that describe the path in each […]

    elkement.art/2026/07/29/oscula

  20. Osculating Circles Revisited

    Every squiggly line could be an image of the meandering trajectory of a particle. At each instant, the path has a direction and a curvature. Curvature can be represented by the circle that fits the curve best - the osculating circle. In a two-dimensional world, the osculating circles would lie flat in the same plane the tangent vectors are confined to. But in three dimensions also the "instantaneous plane" of the motion is changing. There are three vectors that describe the path in each […]

    elkement.art/2026/07/29/oscula

  21. Aharonov-Bohm Effect

    It is often called the simplest example of topology impacting physics (Topology like "the shape of space", like coffee mugs being donuts!). Charged particles move under the the influence of electric and magnetic fields. The concept of fields was once introduced to replace action at a distance: If one charge tugs on another, it does so via sourcing a field that is finally felt by the target charge. The charge only reacts to a field right there where the charge is. But you can set up an […]

    elkement.art/2026/07/09/aharon

  22. Aharonov-Bohm Effect

    It is often called the simplest example of topology impacting physics (Topology like "the shape of space", like coffee mugs being donuts!). Charged particles move under the the influence of electric and magnetic fields. The concept of fields was once introduced to replace action at a distance: If one charge tugs on another, it does so via sourcing a field that is finally felt by the target charge. The charge only reacts to a field right there where the charge is. But you can set up an […]

    elkement.art/2026/07/09/aharon

  23. Aharonov-Bohm Effect

    It is often called the simplest example of topology impacting physics (Topology like "the shape of space", like coffee mugs being donuts!). Charged particles move under the the influence of electric and magnetic fields. The concept of fields was once introduced to replace action at a distance: If one charge tugs on another, it does so via sourcing a field that is finally felt by the target charge. The charge only reacts to a field right there where the charge is. But you can set up an […]

    elkement.art/2026/07/09/aharon

  24. Aharonov-Bohm Effect

    It is often called the simplest example of topology impacting physics (Topology like "the shape of space", like coffee mugs being donuts!). Charged particles move under the the influence of electric and magnetic fields. The concept of fields was once introduced to replace action at a distance: If one charge tugs on another, it does so via sourcing a field that is finally felt by the target charge. The charge only reacts to a field right there where the charge is. But you can set up an […]

    elkement.art/2026/07/09/aharon

  25. Aharonov-Bohm Effect

    It is often called the simplest example of topology impacting physics (Topology like "the shape of space", like coffee mugs being donuts!). Charged particles move under the the influence of electric and magnetic fields. The concept of fields was once introduced to replace action at a distance: If one charge tugs on another, it does so via sourcing a field that is finally felt by the target charge. The charge only reacts to a field right there where the charge is. But you can set up an […]

    elkement.art/2026/07/09/aharon

  26. Mass Shell

    Space and time are rotated into each other. Momentum and energy are as well. This rotation in four dimensions is of an unusual, hyperbolic kind. Which is the source of all so-called paradoxa in special relativity. Best to avoid thinking of clocks, rulers, trains, and observers. Just stick to the geometry. When a classical particle moves (classical in the sense of "non-quantum", but relativistic), it is constrained to the mass shell: a three-dimensional hyper-surface in the […]

    elkement.art/2026/07/02/mass-s

  27. Mass Shell

    Space and time are rotated into each other. Momentum and energy are as well. This rotation in four dimensions is of an unusual, hyperbolic kind. Which is the source of all so-called paradoxa in special relativity. Best to avoid thinking of clocks, rulers, trains, and observers. Just stick to the geometry. When a classical particle moves (classical in the sense of "non-quantum", but relativistic), it is constrained to the mass shell: a three-dimensional hyper-surface in the […]

    elkement.art/2026/07/02/mass-s

  28. Mass Shell

    Space and time are rotated into each other. Momentum and energy are as well. This rotation in four dimensions is of an unusual, hyperbolic kind. Which is the source of all so-called paradoxa in special relativity. Best to avoid thinking of clocks, rulers, trains, and observers. Just stick to the geometry. When a classical particle moves (classical in the sense of "non-quantum", but relativistic), it is constrained to the mass shell: a three-dimensional hyper-surface in the […]

    elkement.art/2026/07/02/mass-s

  29. Mass Shell

    Space and time are rotated into each other. Momentum and energy are as well. This rotation in four dimensions is of an unusual, hyperbolic kind. Which is the source of all so-called paradoxa in special relativity. Best to avoid thinking of clocks, rulers, trains, and observers. Just stick to the geometry. When a classical particle moves (classical in the sense of "non-quantum", but relativistic), it is constrained to the mass shell: a three-dimensional hyper-surface in the […]

    elkement.art/2026/07/02/mass-s

  30. Mass Shell

    Space and time are rotated into each other. Momentum and energy are as well. This rotation in four dimensions is of an unusual, hyperbolic kind. Which is the source of all so-called paradoxa in special relativity. Best to avoid thinking of clocks, rulers, trains, and observers. Just stick to the geometry. When a classical particle moves (classical in the sense of "non-quantum", but relativistic), it is constrained to the mass shell: a three-dimensional hyper-surface in the […]

    elkement.art/2026/07/02/mass-s

  31. 🏛️ Paper 5 The Fortress
    Resilience Architectures and Topological Stabilization
    Delaying the Velocity of Transition in Persistent Systems
    Phase 5 explored:
    • persistence
    • leakage
    • latency
    • collapse
    • threshold failure
    Paper 5 asks the inverse question:
    Why do some systems survive?
    The answer proposed here is not “strength.”
    It is:
    • active maintenance
    • adaptive geometry
    • compartmentalization
    • buffering
    • rerouting
    • and continuous energetic expenditure.
    Persistence is not preserved.
    Persistence is maintained.
    This introduces: • the Maintenance Inequality
    • the Red Queen Dynamic
    • heterogeneous redundancy ($R_d$)
    • buffer capacity ($C_{buffer}$)
    • and geometric stabilization as an anti-collapse architecture.

    The accompanying VR-05 Evidence Card may be the clearest visual summary of the series.

    🌿☕🏛️
    #HybridMind42 #AtlasRosetta #Resilience #SystemsThinking #ComplexSystems #ScientificIllustration #Topology #BoundaryTheory #Physics #InterdisciplinaryResearch

    open.substack.com/pub/hybridmi

  32. 🏛️ Paper 5 The Fortress
    Resilience Architectures and Topological Stabilization
    Delaying the Velocity of Transition in Persistent Systems
    Phase 5 explored:
    • persistence
    • leakage
    • latency
    • collapse
    • threshold failure
    Paper 5 asks the inverse question:
    Why do some systems survive?
    The answer proposed here is not “strength.”
    It is:
    • active maintenance
    • adaptive geometry
    • compartmentalization
    • buffering
    • rerouting
    • and continuous energetic expenditure.
    Persistence is not preserved.
    Persistence is maintained.
    This introduces: • the Maintenance Inequality
    • the Red Queen Dynamic
    • heterogeneous redundancy ($R_d$)
    • buffer capacity ($C_{buffer}$)
    • and geometric stabilization as an anti-collapse architecture.

    The accompanying VR-05 Evidence Card may be the clearest visual summary of the series.

    🌿☕🏛️
    #HybridMind42 #AtlasRosetta #Resilience #SystemsThinking #ComplexSystems #ScientificIllustration #Topology #BoundaryTheory #Physics #InterdisciplinaryResearch

    open.substack.com/pub/hybridmi

  33. 🏛️ Paper 5 The Fortress
    Resilience Architectures and Topological Stabilization
    Delaying the Velocity of Transition in Persistent Systems
    Phase 5 explored:
    • persistence
    • leakage
    • latency
    • collapse
    • threshold failure
    Paper 5 asks the inverse question:
    Why do some systems survive?
    The answer proposed here is not “strength.”
    It is:
    • active maintenance
    • adaptive geometry
    • compartmentalization
    • buffering
    • rerouting
    • and continuous energetic expenditure.
    Persistence is not preserved.
    Persistence is maintained.
    This introduces: • the Maintenance Inequality
    • the Red Queen Dynamic
    • heterogeneous redundancy ($R_d$)
    • buffer capacity ($C_{buffer}$)
    • and geometric stabilization as an anti-collapse architecture.

    The accompanying VR-05 Evidence Card may be the clearest visual summary of the series.

    🌿☕🏛️
    #HybridMind42 #AtlasRosetta #Resilience #SystemsThinking #ComplexSystems #ScientificIllustration #Topology #BoundaryTheory #Physics #InterdisciplinaryResearch

    open.substack.com/pub/hybridmi

  34. 🏛️ Paper 5 The Fortress
    Resilience Architectures and Topological Stabilization
    Delaying the Velocity of Transition in Persistent Systems
    Phase 5 explored:
    • persistence
    • leakage
    • latency
    • collapse
    • threshold failure
    Paper 5 asks the inverse question:
    Why do some systems survive?
    The answer proposed here is not “strength.”
    It is:
    • active maintenance
    • adaptive geometry
    • compartmentalization
    • buffering
    • rerouting
    • and continuous energetic expenditure.
    Persistence is not preserved.
    Persistence is maintained.
    This introduces: • the Maintenance Inequality
    • the Red Queen Dynamic
    • heterogeneous redundancy ($R_d$)
    • buffer capacity ($C_{buffer}$)
    • and geometric stabilization as an anti-collapse architecture.

    The accompanying VR-05 Evidence Card may be the clearest visual summary of the series.

    🌿☕🏛️
    #HybridMind42 #AtlasRosetta #Resilience #SystemsThinking #ComplexSystems #ScientificIllustration #Topology #BoundaryTheory #Physics #InterdisciplinaryResearch

    open.substack.com/pub/hybridmi

  35. 🏛️ Paper 5 The Fortress
    Resilience Architectures and Topological Stabilization
    Delaying the Velocity of Transition in Persistent Systems
    Phase 5 explored:
    • persistence
    • leakage
    • latency
    • collapse
    • threshold failure
    Paper 5 asks the inverse question:
    Why do some systems survive?
    The answer proposed here is not “strength.”
    It is:
    • active maintenance
    • adaptive geometry
    • compartmentalization
    • buffering
    • rerouting
    • and continuous energetic expenditure.
    Persistence is not preserved.
    Persistence is maintained.
    This introduces: • the Maintenance Inequality
    • the Red Queen Dynamic
    • heterogeneous redundancy ($R_d$)
    • buffer capacity ($C_{buffer}$)
    • and geometric stabilization as an anti-collapse architecture.

    The accompanying VR-05 Evidence Card may be the clearest visual summary of the series.

    🌿☕🏛️
    #HybridMind42 #AtlasRosetta #Resilience #SystemsThinking #ComplexSystems #ScientificIllustration #Topology #BoundaryTheory #Physics #InterdisciplinaryResearch

    open.substack.com/pub/hybridmi

  36. I didn't feel like posting any more gesture sketches or design matrices from my composition class, so I'm posting a sketch I did to better understand the pelvis and how the femur fits in there. It's hard for me to find a clear image of a 3/4 view, but one was provided in my anatomy class. Hopefully it's helpful to anyone else doing figure drawing!

    It's just a skeleton, by the way

    #MastoArt #FediArt #ScientificIllustration #FigureDrawing