- Commit
- d1e82eb80a67c9d3c69c85866ea8af46753e8415
- Parent
- 3f20849011b3a75ddc7235738b9555da3f585657
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Reordered the images in the gallery
tikz-gallery-generator
Custum build of stapix for tikz.pablopie.xyz
Diffstat
1 file changed, 220 insertions, 211 deletions
| Status | File Name | N° Changes | Insertions | Deletions |
| Modified | examples/config.yml | 431 | 220 | 211 |
diff --git a/examples/config.yml b/examples/config.yml @@ -1,51 +1,80 @@ # TODOO: Reorder the content to group images by theme # TODOO: Revise all text alternatives and captions # TODOO: Make text alternatives concise -- path: ./images/26-nodes-diagram.tex - license: CC-BY-4 - author: Pablo - author-url: https://pablopie.xyz - alt: A circular, symmetric array of 26 points connected by lines - caption: "The 26-nodes diagram: a graph encoding certain relations of the - Monster simple group" -- path: ./images/caleb-yau.png - license: CC-BY-SA-2.5 - author: Lunch - source: https://commons.wikimedia.org/wiki/File:Calabi-Yau-alternate.png - alt: A convoluted self-intersecting surface in pastel shades of pink and blue - caption: A visual representation of the Calabi-Yau manifold +# Algebraic Geometry ########################################################## -- path: ./images/lattice.tex - license: CC-BY-4 - author: Pablo - author-url: https://pablopie.xyz - alt: Cyan lines highlight the contours of a lattice on the Cartesian plane. - Two blue vectors, each corresponding to one of the periods of the lattice, - highlight the bounds of its fundamental domain. - caption: A 2-dimensional lattice +# TODO: Track the source for this drawing? (i.e track the manuscript) +- path: ./images/grothendieck-riemann-roch.tex + license: PD + author: Alexander Grothendieck + author-url: https://grothendieckcircle.org/ + alt: A hand-drawn commutative diagram surrounded by fire and devils carrying + forks + caption: The infamous commutative diagram from Gothendieck's 1971 manuscript + on the Grothendieck-Riemann-Roch theorem -- path: ./images/complex-surreal-venn.tex +- path: ./images/elliptic-curve-group-structure.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: Two circles, the first representing the complex numbers and the second - representing the surreal numbers, intersect in the middle of picture. Their - intersection is labeled as the set of real numbers. - caption: A Venn diagram representation of the relationship between the real, - complex and surreal numbers (denoted by "No") + alt: Two axis span a plane containing a curve. Two points on the curve are + labeled "P" and "Q", and a violet line passing through them intersects the + curve in a third point. A violet vertical line passing through this third + point intersects the curve at a fourth point, labeled "P + Q". + caption: The geometric group law of an elliptic curve -- path: ./images/cube.tex +# Group Theory ################################################################ + +- path: ./images/j-function-color.jpg + license: PD + author: Jan Homann + source: https://commons.wikimedia.org/wiki/File:KleinInvariantJ.jpg + alt: Domain coloring representation of a complex function + caption: The j-invariant Klein function + +- path: ./images/j-function-relief.svg + license: proprietary + author: Eugene Jahnke & Fritz Emde + source: https://archive.org/details/tablesoffunction00jahn/mode/2up + alt: Relief representation of a function of two variables + caption: Relief representation of the j-invariant modular function from the + book “Tables of Functions with Formulae and Curves” + +- path: ./images/26-nodes-diagram.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A 3-dimensional cube + alt: A circular, symmetric array of 26 points connected by lines + caption: "The 26-nodes diagram: a graph encoding certain relations of the + Monster simple group" -- path: ./images/diamond.tex +- path: ./images/groups-periodic-table.svg + # TODO: Figure out the actual license + license: PD + author: Ivan Andrus + author-url: https://irandrus.wordpress.com + source: https://irandrus.wordpress.com/2012/06/17/the-periodic-table-of-finite-simple-groups/ + alt: A diagram of the classification of finite simple groups in the + format of a periodic table + +- path: ./images/sporadic-groups.svg + license: CC-BY-SA-3 + author: Drschawrz + source: https://en.wikipedia.org/wiki/File:SporadicGroups.svg + alt: Graph representation of the subquotients of Sporadic groups + caption: "All the Sporadic groups and their subquotient relationships: an + edge from a group G on the top to a group H on the bottom means H is a + subquotient of G. Mathieu groups are collored red, Leech lattice groups are + colored green, other subquotients of the Monster are collored blue and the + rest of the groups are collored white." + +- path: ./images/monster-group-character-table.svg license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A diamond-like shape + alt: An increadibly big table of numbers + caption: The chacter table of the Monster simple group in characteristic zero - path: ./images/dihedral-representation.tex license: CC-BY-4 @@ -68,108 +97,94 @@ group rotates any vector v by 60° and hence cannot preserve a line through the origin" -- path: ./images/elliptic-curve-group-structure.tex +- path: ./images/galois-lattice-antisomorphism.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: Two axis span a plane containing a curve. Two points on the curve are - labeled "P" and "Q", and a violet line passing through them intersects the - curve in a third point. A violet vertical line passing through this third - point intersects the curve at a fourth point, labeled "P + Q". - caption: The geometric group law of an elliptic curve + alt: The contours of two order-theoretic lattices lie side by side. The + lattices are organized in stages, marked by different labels. At each stage + the two lattices are connected by a thing dotted horizontal line. + caption: The lattice anti-isomorphism between the lattice of the subgroups of + the Galois group of an extension K/k and the lattice of intermediary + subfields of K -- path: ./images/euclidian-plane.tex +# Topology & Geometry ######################################################### + +- path: ./images/manifold-charts.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A tilted rectangle labeled "R²" - caption: The Cartesian plane + alt: Two small regions U and V in a surface M are highlighted, as well as + their intersection. On the bottom, a map labeled "φ_V ∘ φ_U⁻¹" indicates + the transition of charts. + caption: Transition of charts in a manifold M -- path: ./images/finite-topological-plot.tex +# TODO: Not sure I'm happy with this caption +- path: ./images/smooth-function.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A bar chart with thin blue bars marked by thick circles on their tops. - The x-axis is labeled "n" and ranges from 0 to 20. The y-axis is labeled - "log(# topological spaces of n points)" and ranges from 0 to a little over - 80. On the top of the figure a title reads "Finite Topological Spaces". - caption: Log of the number of distinct topologies (counting homeomorphic - topologies) one can endow a finite set + alt: A map f between two surfaces M and N with its representation in local + coordinates highlighted on the bottom of the figure + caption: A smooth function in local coordinates φ and ψ -- path: ./images/galois-lattice-antisomorphism.tex +- path: ./images/tangent-space.tex + license: CC-BY-4 + author: Gustavo Mezzovilla + alt: A surface with a highlighted point on its interior, together with the + plane tangent to the surface at that point + caption: The tangent space of a smooth manifold at a point + +- path: ./images/sphere.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: The contours of two order-theoretic lattices lie side by side. The - lattices are organized in stages, marked by different labels. At each stage - the two lattices are connected by a thing dotted horizontal line. - caption: The lattice anti-isomorphism between the lattice of the subgroups of - the Galois group of an extension K/k and the lattice of intermediary - subfields of K + alt: A 2-dimensional sphere -- path: ./images/geodesic-min.tex +- path: ./images/cube.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A 2-dimensional sphere is marked by a violet curve connecting the north - pole to a point close to the equator. The violet curve runs across a - meridian, passing through the south pole along the way. On the left, a - circle highlights a small region around a point on the violet curve. In the - circle we can see a violet straight line representing the correspoding arc - of the violet curve and a winding dotted path joining its endpoints. - caption: "This picture represents the fact that geodesics locally minimize - distances: eventhough the violet great circle does not globally minimize the - distance between the marked points in the sphere, at each point in the - violet curve we can find a small neightborhood such that the purple arc in - this neightborhood minimizes the distance between the correspoing endpoints" - -# TODO: Track the source for this drawing? (i.e track the manuscript) -- path: ./images/grothendieck-riemann-roch.tex - license: PD - author: Alexander Grothendieck - author-url: https://grothendieckcircle.org/ - alt: A hand-drawn commutative diagram surrounded by fire and devils carrying - forks - caption: The infamous commutative diagram from Gothendieck's 1971 manuscript - on the Grothendieck-Riemann-Roch theorem + alt: A 3-dimensional cube -- path: ./images/groups-periodic-table.svg - # TODO: Figure out the actual license - license: PD - author: Ivan Andrus - author-url: https://irandrus.wordpress.com - source: https://irandrus.wordpress.com/2012/06/17/the-periodic-table-of-finite-simple-groups/ - alt: A diagram of the classification of finite simple groups in the - format of a periodic table +- path: ./images/diamond.tex + license: CC-BY-4 + author: Pablo + author-url: https://pablopie.xyz + alt: A diamond-like shape -- path: ./images/hyperbolic-plane-disc.tex +- path: ./images/lattice.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A circle with an arc highleghted on its interior - caption: The Poincaré disc model of the hyperbolic plane + alt: Cyan lines highlight the contours of a lattice on the Cartesian plane. + Two blue vectors, each corresponding to one of the periods of the lattice, + highlight the bounds of its fundamental domain. + caption: A 2-dimensional lattice -- path: ./images/j-function-relief.svg - license: proprietary - author: Eugene Jahnke & Fritz Emde - source: https://archive.org/details/tablesoffunction00jahn/mode/2up - alt: Relief representation of a function of two variables - caption: Relief representation of the j-invariant modular function from the - book “Tables of Functions with Formulae and Curves” +- path: ./images/topology-mug-donut.tex + license: CC-BY-4 + author: Pablo + author-url: https://pablopie.xyz + alt: A mug continuously morphing into a donut + caption: The homeomorphism between the surface of a mug and that of a donut -- path: ./images/j-function-color.jpg - license: PD - author: Jan Homann - source: https://commons.wikimedia.org/wiki/File:KleinInvariantJ.jpg - alt: Domain coloring representation of a complex function - caption: The j-invariant Klein function +- path: ./images/unit-circle-covering.tex + license: CC-BY-4 + author: Pablo + author-url: https://pablopie.xyz + alt: A downwords spiral with a circle on its bottom and an arrow labelled "π" + pointing from the spiral to the circle + caption: "The universal covering of the circle: we can picture winding the + real line around the circle by identifying it with an infinite vertical + spiral whose “shadow” in the xy-plane is the circle" -- path: ./images/k4.tex +- path: ./images/unit-circle.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A triangle with marked vertices and a marked point on its barycenter - caption: The complete graph of four vertices + alt: A circle with two highlighted points labelled "i" and "1" + caption: The unit complex circle - path: ./images/mobius.tex license: CC-BY-4 @@ -177,32 +192,61 @@ author-url: https://pablopie.xyz alt: The Mobius strip -- path: ./images/monster-group-character-table.svg +- path: ./images/k4.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: An increadibly big table of numbers - caption: The chacter table of the Monster simple group in characteristic zero + alt: A triangle with marked vertices and a marked point on its barycenter + caption: The complete graph of four vertices -- path: ./images/natural-number-line.tex +- path: ./images/hyperbolic-plane-disc.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: The natural number line + alt: A circle with an arc highleghted on its interior + caption: The Poincaré disc model of the hyperbolic plane -- path: ./images/real-number-line.tex +- path: ./images/caleb-yau.png + license: CC-BY-SA-2.5 + author: Lunch + source: https://commons.wikimedia.org/wiki/File:Calabi-Yau-alternate.png + alt: A convoluted self-intersecting surface in pastel shades of pink and blue + caption: A visual representation of the Calabi-Yau manifold + +- path: ./images/euclidian-plane.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: The real number line + alt: A tilted rectangle labeled "R²" + caption: The Cartesian plane -- path: ./images/ordinal-number-line.tex +- path: ./images/geodesic-min.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: "The ordinal number line: the natural numbers accumulate around ω, - followed by ω-translates of the natural numbers and so on" - caption: The ordinal number line + alt: A 2-dimensional sphere is marked by a violet curve connecting the north + pole to a point close to the equator. The violet curve runs across a + meridian, passing through the south pole along the way. On the left, a + circle highlights a small region around a point on the violet curve. In the + circle we can see a violet straight line representing the correspoding arc + of the violet curve and a winding dotted path joining its endpoints. + caption: "This picture represents the fact that geodesics locally minimize + distances: eventhough the violet great circle does not globally minimize the + distance between the marked points in the sphere, at each point in the + violet curve we can find a small neightborhood such that the purple arc in + this neightborhood minimizes the distance between the correspoing endpoints" + +- path: ./images/sphere-metric-comparison.tex + license: CC-BY-4 + author: Pablo + author-url: https://pablopie.xyz + alt: "A sphere is marked by two points and two curves connecting them: a + great circle and a straigh line passing through the interior of the sphere" + caption: "This picture is a comparison between the Euclidean metric and the + Riemannian metric of the 2-sphere: in 3-space the shortest distance between + the north pole and the point close to the equator is realized by the + straight line connecting them, but in the 2-sphere their distance is + realized by a great circle instead" - path: ./images/quaternion-rotation.tex license: CC-BY-4 @@ -216,28 +260,38 @@ through the origin in 3-space, and conjugation by cos θ + p sin θ acts as rotation by 2θ around this axis." -- path: ./images/real-ordinal-surreal-venn.tex +- path: ./images/square-to-circle-projection.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: Two circles, the first representing the real numbers and the second - representing the ordinal numbers, intersect in the middle of picture. Their - intersection is labeled as the set of natural numbers. A rectangle labeled - as the set of surreal numbers surrounds both circles. - caption: Venn diagram representation of the relationship between the real, - natural and surreal numbers (denoted by "No") + alt: A circle and a square. A dotted ray connects the center of the square to + a point in the circle, passing through a point in the perimeter of the + square. + caption: "The projection from the square to the circle: we map a point in + the square of length √2/2 onto the unit circle by normalizing it" -- path: ./images/sphere-metric-comparison.tex +- path: ./images/stereographic-projection.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: "A sphere is marked by two points and two curves connecting them: a - great circle and a straigh line passing through the interior of the sphere" - caption: "This picture is a comparison between the Euclidean metric and the - Riemannian metric of the 2-sphere: in 3-space the shortest distance between - the north pole and the point close to the equator is realized by the - straight line connecting them, but in the 2-sphere their distance is - realized by a great circle instead" + alt: A sphere sits on top of plane, with a line connecting the north pole to + the a point on the plane, passing thought another point in the sphere + caption: "The stereographic projection: for each point P in the sphere we + cast a ray from the north pole, identifying P with the point of + intersection of this ray and the plane just bellow the sphere" + +- path: ./images/upper-central-projection.tex + license: CC-BY-4 + author: Pablo + author-url: https://pablopie.xyz + alt: The upper cap of a sphere sits just bellow a plane, with a line + connecting the center of the half-sphere to the a point on the plane, + passing thought another point in the sphere + caption: "A graphical depiction of the central projection between the + upper semi-sphere and the Euclidean plane: we map each point in the upper + half of the sphere to the projection of this point in the tangent plane at + the north pole by drawing a line between this point and the center of the + sphere and then taking the intersection of such line with the plane." - path: ./images/rigid-motion-reflections.tex license: CC-BY-4 @@ -257,68 +311,67 @@ into the other caption: Rotation by 45° on the Cartesian plane -- path: ./images/manifold-charts.tex +- path: ./images/finite-topological-plot.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: Two small regions U and V in a surface M are highlighted, as well as - their intersection. On the bottom, a map labeled "φ_V ∘ φ_U⁻¹" indicates - the transition of charts. - caption: Transition of charts in a manifold M + alt: A bar chart with thin blue bars marked by thick circles on their tops. + The x-axis is labeled "n" and ranges from 0 to 20. The y-axis is labeled + "log(# topological spaces of n points)" and ranges from 0 to a little over + 80. On the top of the figure a title reads "Finite Topological Spaces". + caption: Log of the number of distinct topologies (counting homeomorphic + topologies) one can endow a finite set -# TODO: Not sure I'm happy with this caption -- path: ./images/smooth-function.tex +# Numbers & Venn digrams ###################################################### + +- path: ./images/standard-sets-venn.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A map f between two surfaces M and N with its representation in local - coordinates highlighted on the bottom of the figure - caption: A smooth function in local coordinates φ and ψ + alt: Venn diagram representation of the containment relations between the + natural numbers, integers, rational number, real numbers and complex + numbers -- path: ./images/sphere.tex +- path: ./images/real-ordinal-surreal-venn.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A 2-dimensional sphere + alt: Two circles, the first representing the real numbers and the second + representing the ordinal numbers, intersect in the middle of picture. Their + intersection is labeled as the set of natural numbers. A rectangle labeled + as the set of surreal numbers surrounds both circles. + caption: Venn diagram representation of the relationship between the real, + natural and surreal numbers (denoted by "No") -- path: ./images/sporadic-groups.svg - license: CC-BY-SA-3 - author: Drschawrz - source: https://en.wikipedia.org/wiki/File:SporadicGroups.svg - alt: Graph representation of the subquotients of Sporadic groups - caption: "All the Sporadic groups and their subquotient relationships: an - edge from a group G on the top to a group H on the bottom means H is a - subquotient of G. Mathieu groups are collored red, Leech lattice groups are - colored green, other subquotients of the Monster are collored blue and the - rest of the groups are collored white." +- path: ./images/complex-surreal-venn.tex + license: CC-BY-4 + author: Pablo + author-url: https://pablopie.xyz + alt: Two circles, the first representing the complex numbers and the second + representing the surreal numbers, intersect in the middle of picture. Their + intersection is labeled as the set of real numbers. + caption: A Venn diagram representation of the relationship between the real, + complex and surreal numbers (denoted by "No") -- path: ./images/square-to-circle-projection.tex +- path: ./images/natural-number-line.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A circle and a square. A dotted ray connects the center of the square to - a point in the circle, passing through a point in the perimeter of the - square. - caption: "The projection from the square to the circle: we map a point in - the square of length √2/2 onto the unit circle by normalizing it" + alt: The natural number line -- path: ./images/standard-sets-venn.tex +- path: ./images/real-number-line.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: Venn diagram representation of the containment relations between the - natural numbers, integers, rational number, real numbers and complex - numbers + alt: The real number line -- path: ./images/stereographic-projection.tex +- path: ./images/ordinal-number-line.tex license: CC-BY-4 author: Pablo author-url: https://pablopie.xyz - alt: A sphere sits on top of plane, with a line connecting the north pole to - the a point on the plane, passing thought another point in the sphere - caption: "The stereographic projection: for each point P in the sphere we - cast a ray from the north pole, identifying P with the point of - intersection of this ray and the plane just bellow the sphere" + alt: "The ordinal number line: the natural numbers accumulate around ω, + followed by ω-translates of the natural numbers and so on" + caption: The ordinal number line # TODO: Get the TikZ code for this somehow? - path: ./images/surreal-number-tree.svg @@ -328,47 +381,3 @@ alt: "A complex tree with vertices organized by stages and labelled by different real and natural numbers" caption: Visualization of the surreal number tree - -- path: ./images/tangent-space.tex - license: CC-BY-4 - author: Gustavo Mezzovilla - alt: A surface with a highlighted point on its interior, together with the - plane tangent to the surface at that point - caption: The tangent space of a smooth manifold at a point - -- path: ./images/topology-mug-donut.tex - license: CC-BY-4 - author: Pablo - author-url: https://pablopie.xyz - alt: A mug continuously morphing into a donut - caption: The homeomorphism between the surface of a mug and that of a donut - -- path: ./images/unit-circle-covering.tex - license: CC-BY-4 - author: Pablo - author-url: https://pablopie.xyz - alt: A downwords spiral with a circle on its bottom and an arrow labelled "π" - pointing from the spiral to the circle - caption: "The universal covering of the circle: we can picture winding the - real line around the circle by identifying it with an infinite vertical - spiral whose “shadow” in the xy-plane is the circle" - -- path: ./images/unit-circle.tex - license: CC-BY-4 - author: Pablo - author-url: https://pablopie.xyz - alt: A circle with two highlighted points labelled "i" and "1" - caption: The unit complex circle - -- path: ./images/upper-central-projection.tex - license: CC-BY-4 - author: Pablo - author-url: https://pablopie.xyz - alt: The upper cap of a sphere sits just bellow a plane, with a line - connecting the center of the half-sphere to the a point on the plane, - passing thought another point in the sphere - caption: "A graphical depiction of the central projection between the - upper semi-sphere and the Euclidean plane: we map each point in the upper - half of the sphere to the projection of this point in the tangent plane at - the north pole by drawing a line between this point and the center of the - sphere and then taking the intersection of such line with the plane."