--- title: "AxisObject" language: "en" type: "Symbol" summary: "AxisObject[path] is a Graphics primitive that represents an axis with a quantitative scale along the path path. AxisObject[path, scale] uses the scale specified by scale." canonical_url: "https://reference.wolfram.com/language/ref/AxisObject.html" source: "Wolfram Language Documentation" related_guides: - title: "Graphics Objects" link: "https://reference.wolfram.com/language/guide/GraphicsObjects.en.md" related_functions: - title: "Graphics" link: "https://reference.wolfram.com/language/ref/Graphics.en.md" - title: "Axes" link: "https://reference.wolfram.com/language/ref/Axes.en.md" - title: "Frame" link: "https://reference.wolfram.com/language/ref/Frame.en.md" - title: "Line" link: "https://reference.wolfram.com/language/ref/Line.en.md" - title: "InfiniteLine" link: "https://reference.wolfram.com/language/ref/InfiniteLine.en.md" - title: "HorizontalGauge" link: "https://reference.wolfram.com/language/ref/HorizontalGauge.en.md" - title: "VerticalGauge" link: "https://reference.wolfram.com/language/ref/VerticalGauge.en.md" - title: "NumberLinePlot" link: "https://reference.wolfram.com/language/ref/NumberLinePlot.en.md" - title: "BulletGauge" link: "https://reference.wolfram.com/language/ref/BulletGauge.en.md" - title: "AngularGauge" link: "https://reference.wolfram.com/language/ref/AngularGauge.en.md" - title: "Ticks" link: "https://reference.wolfram.com/language/ref/Ticks.en.md" - title: "FrameTicks" link: "https://reference.wolfram.com/language/ref/FrameTicks.en.md" --- [EXPERIMENTAL] # AxisObject AxisObject[path] is a Graphics primitive that represents an axis with a quantitative scale along the path path. AxisObject[path, scale] uses the scale specified by scale. ## Details and Options * ``AxisObject[…]`` represents a generalized axis that can be placed in arbitrary graphics. * An axis consists of a path, which determines where the axis is drawn; the scale, which controls how coordinates in the graphic are mapped to values along the path; and options that affect the detailed appearance of the axis, ticks and labels. [image] * Possible settings for ``path`` include: | | | | --- | --- | | {pt1, pt2} | axis through the points pt1 and pt2 | | {"Horizontal", y0} | horizontal axis through $y=y_0$ | | {"Horizontal", y0, {xmin, xmax}} | horizontal axis from $x=x_{\min }$ to $x=x_{\max }$ | | {"Vertical", x0} | vertical axis through $x=x_0$ | | {"Vertical", x0, {ymin, ymax}} | vertical axis from $y=y_{\min }$ to $y=y_{\max }$ | | InfiniteLine[{pt1, pt2}] | infinite axis through points pt1 and pt2 | | InfiniteLine[pt, v] | infinite axis passing through the point pt in the direction v | | Line[{pt1, pt2}**]** | finite axis from point pt1 to point pt2 | | Line[{pt1, …, ptn}**]** | curve axis from point pt1 to point pt*n* | | HalfLine[{pt1, pt2}] | half-axis from the point pt1 through pt2 | | HalfLine[pt, v] | half-axis from point pt in the direction v | | BSplineCurve[…] | axis along the given B-spline curve | | BezierCurve[…] | axis along the given Bézier curve | | Circle[…] | axis along the given circle or arc | * Infinite forms of axes draw to the edges of the graphic. * By default, ``"Horizontal"`` and ``"Vertical"`` axes use the natural scale where the axis values correspond to the vertical and horizontal components of the underlying graphics coordinates. * Possible settings for ``scale`` include: | | | | -------------------------- | ----------------------------------------------------- | | {val1, val2} | use val1 at the start of the axis and val2 at the end | | {loc1 -> val1, loc2 -> val2} | use val1 and val2 at locations loc1 and loc2 | * For infinite axes, the "start" and "end" points are taken to be ``pt1`` and ``pt2``. * For ``"Horizontal"`` and ``"Vertical"`` axes, the locations ``loci`` can be specified as ``x`` and ``y`` coordinates. * The locations ``loci`` used to define the value scale for an axis do not have to be visually present in the graphic. * If the location ``loci`` is not on the axis, it will be projected to the nearest point that is. * Possible options for ``AxisObject`` are: | | | | | --------------------- | --------- | ---------------------------------------- | | AxisLabel | None | how to label the axis | | AxisStyle | {} | how to style the axis path | | BaseStyle | {} | general style for the axis | | LabelStyle | {} | how to style labels | | RotateLabel | False | how to rotate axis labels | | TickDirection | Automatic | on which side of the axis to place ticks | | TickLabelOrientation | None | how to rotate tick labels | | TickLabelPositioning | Automatic | where to place tick labels | | TickLabels | Automatic | how to label ticks | | TickLengths | Automatic | how long to draw ticks | | TickPositions | Automatic | where to place ticks along the axis | | Ticks | Automatic | individual ticks | | TicksStyle | {} | how to style ticks | * Settings for tick and label options are generally either of the form ``opt -> spec``, which uses ``spec`` for all the ticks and labels, or of the form ``opt -> {spec1, …, specn}``, where the ``speci`` correspond to collections of settings for corresponding collections of ticks and labels. * Axes are typically drawn with two sets of ticks: "major" ticks that are longer and have labels and "minor" ticks that are shorter and unlabeled. * By default, axis labels are placed at the end of the axis. * ``AxisLabel -> Placed[label, pos]`` can be used to specify where the axis label should be placed. * ``Placed`` can use the following positions ``pos`` : | | | | --------------------------- | --------------------------- | | "Start" | the start of the axis | | "End" | the end of the axis | | Center | centered along the axis | | Above, Below, Before, After | placed relative to the axis | * Possible settings for ``speci`` for ``TickPositions`` are: | | | | ----------------- | ---------------------------------------- | | Automatic | automatically compute ticks | | n | use approximately n ticks | | {dx} | use ticks that are multiples of dx | | {min, max, dx} | use ticks from min to max in steps of dx | | {{t1, t2, …, tm}} | use specific ticks ti | * Possible settings for ``speci`` for ``TickLabels`` are: | | | | --------------------- | ----------------------------- | | Automatic | automatically label ticks | | All | include labels | | None | omit labels | | {lab1, lab2, …, labm} | use labi to label position ti | * The ``Automatic`` setting for ``TickLabels`` is ``All`` for ``spec1`` and ``None`` otherwise. * The settings for ``speci`` in ``TickLengths`` are: | | | | -------------------------- | -------------------------------------- | | Automatic | automatic lengths | | None | omit the tick marker | | Scaled[s] | use a scaled length | | Offset[s] | use an absolute length | | "Major" | use the default length for major ticks | | "Minor" | use the default length for minor ticks | | Tiny, Small, Medium, Large | named lengths | * ``TickDirection -> dir`` specifies in what direction ``dir`` the ticks should be drawn relative to the axis. | | | | | ------- | --------------- | ----------------------------------- | | [image] | Automatic | automatically chosen direction | | [image] | "Inward" | toward the center of the graphic | | [image] | "Outward" | away from the center of the graphic | | [image] | "InwardOutward" | crosses over axis | | [image] | Left | to the left | | [image] | Right | to the right | | [image] | Up | toward the top | | [image] | Down | toward the bottom | * ``TickLabelPositioning -> pos`` specifies the position ``pos`` where tick labels should be drawn relative to the tick. * Possible settings for ``pos`` include: | | | | | ------- | ------ | ----------------------------------------------- | | [image] | "Base" | at the base of the tick where it meets the axis | | [image] | "Tip" | at the tip of the tick | | [image] | Before | end of the label before the tick | | [image] | After | start of the label after the tick | * Possible settings for ``RotateLabel`` and ``TickLabelOrientation`` include: | | | | ------------------ | ----------------------------------------------------------------------------------------------- | | None, "Horizontal" | do not rotate labels | | "Vertical" | rotate labels 90° counterclockwise | | "Parallel" | rotate labels to be parallel to the axis | | "Perpendicular" | rotate labels to be perpendicular to the axis | | θ | rotate labels counterclockwise from horizontal by angle $\theta$ | ## Examples (54) ### Basic Examples (4) Place a horizontal axis at $y=0$ : ```wl In[1]:= Graphics[AxisObject[{"Horizontal", 0}], PlotRange -> {{-2, 2}, {-1, 1}}] Out[1]= [image] ``` --- Limit the axis so that $x$ is between $-1$ and 1: ```wl In[1]:= Graphics[AxisObject[{"Horizontal", 0, {-1, 1}}], PlotRange -> {{-2, 2}, {-1, 1}}] Out[1]= [image] ``` --- Construct several vertical axes: ```wl In[1]:= Graphics[{AxisObject[{"Vertical", 1, {0, 1}}], AxisObject[{"Vertical", 2, {0, 2}}], AxisObject[{"Vertical", 3, {0, 3}}]}, PlotRange -> {{0, 3}, {0, 3}}] Out[1]= [image] ``` --- Construct an axis that is 0 at the point $\{-1,-1\}$ and 1 at the point $\{2,2\}$ : ```wl In[1]:= Graphics[AxisObject[Line[{{-1, -1}, {2, 2}}]], Frame -> True, PlotRange -> 3] Out[1]= [image] ``` ### Scope (9) #### Axis Placement and Scales (6) Use a finite line for an axis: ```wl In[1]:= Graphics[AxisObject[Line[{{-1, -1}, {1, 1}}]], PlotRange -> 2] Out[1]= [image] In[2]:= Graphics[AxisObject[Line[{{-1, -1}, {1, 1}}], {0, 10}], PlotRange -> 2] Out[2]= [image] ``` --- Use an infinite line through two points, whose values are 0 and 10: ```wl In[1]:= Graphics[AxisObject[InfiniteLine[{{-1, -1}, {1, 1}}], {0, 10}], PlotRange -> 2] Out[1]= [image] ``` Use a point and direction to define the infinite line: ```wl In[2]:= Graphics[AxisObject[InfiniteLine[{-1, -1}, {1, 1}], {0, 10}], PlotRange -> 2] Out[2]= [image] ``` --- Use a half-line through two points: ```wl In[1]:= Graphics[AxisObject[HalfLine[{{0, 0}, {1, 1}}], {0, 10}], PlotRange -> 2] Out[1]= [image] ``` Use a point and direction to define the half-line: ```wl In[2]:= Graphics[AxisObject[HalfLine[{0, 0}, {1, 1}], {0, 10}], PlotRange -> 2] Out[2]= [image] ``` --- Use a Bézier curve as the path for an axis: ```wl In[1]:= Graphics[AxisObject[BezierCurve[{{-1, -1}, {-1, 1}, {1, 1}}]], PlotRange -> 2] Out[1]= [image] ``` Change the values at the endpoints: ```wl In[2]:= Graphics[AxisObject[BezierCurve[{{-1, -1}, {-1, 1}, {1, 1}}], {0, 10}], PlotRange -> 2] Out[2]= [image] ``` --- Use a B-spline curve as the path for an axis: ```wl In[1]:= Graphics[AxisObject[BSplineCurve[{{-1, -1}, {-1, 1}, {1, 1}}]], PlotRange -> 2] Out[1]= [image] ``` Change the values at the endpoints: ```wl In[2]:= Graphics[AxisObject[BSplineCurve[{{-1, -1}, {-1, 1}, {1, 1}}], {0, 10}], PlotRange -> 2] Out[2]= [image] ``` --- Construct an axis along an arbitrary curve: ```wl In[1]:= Graphics[AxisObject[Line[Table[{t Cos[t], t Sin[t]}, {t, 0, 5Pi, 0.1}]]]] Out[1]= [image] ``` Specify the values at the endpoints: ```wl In[2]:= Graphics[AxisObject[Line[Table[{t Cos[t], t Sin[t]}, {t, 0, 5Pi, 0.1}]], {0, 10}]] Out[2]= [image] ``` #### Tick Placement (3) Use approximately five ticks on the axis: ```wl In[1]:= Graphics[AxisObject[{"Horizontal", 0, {-5, 5}}, TickPositions -> {5}]] Out[1]= [image] ``` Further subdivide the axis into approximately five minor ticks per major interval: ```wl In[2]:= Graphics[AxisObject[{"Horizontal", 0, {-5, 5}}, TickPositions -> {5, 5}]] Out[2]= [image] ``` --- Place ticks at positions from $-5$ to 5 in steps of 1: ```wl In[1]:= Graphics[AxisObject[{"Horizontal", 0, {-5, 5}}, TickPositions -> {{-5, 5, 1}}]] Out[1]= [image] ``` Include minor ticks at multiples of 0.2: ```wl In[2]:= Graphics[AxisObject[{"Horizontal", 0, {-5, 5}}, TickPositions -> {{-5, 5, 1}, {-5, 5, 0.2}}]] Out[2]= [image] ``` --- Place ticks at specific locations: ```wl In[1]:= Graphics[AxisObject[{"Horizontal", 0, {-5, 5}}, TickPositions -> {{{-5, -2, -1, 0, 1, 2, 5}}}]] Out[1]= [image] ``` Include minor ticks at multiples of 1: ```wl In[2]:= Graphics[AxisObject[{"Horizontal", 0, {-5, 5}}, TickPositions -> {{{-5, -2, -1, 0, 1, 2, 5}}, {-5, 5, 1}}, TickLabels -> {All, None}]] Out[2]= [image] ``` ### Options (39) #### AxisLabel (4) The label is placed at the end of the axis by default: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisLabel -> "hello"]] Out[1]= [image] ``` --- Label the start of the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisLabel -> Placed["hello", "Start"]]] Out[1]= [image] ``` --- Place the label close to the axis above or below it: ```wl In[1]:= {Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisLabel -> Placed["hello", Above]]], Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisLabel -> Placed["hello", Below]]]} Out[1]= {[image], [image]} ``` Before and after the axis: ```wl In[2]:= {Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisLabel -> Placed["hello", Before]]], Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisLabel -> Placed["hello", After]]]} Out[2]= {[image], [image]} ``` --- Center the label along the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisLabel -> Placed["hello", Center]]] Out[1]= [image] ``` Rotate the label to be parallel to the axis: ```wl In[2]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisLabel -> Placed["hello", Center], RotateLabel -> "Parallel"]] Out[2]= [image] ``` #### AxisStyle (3) ``AxisStyle`` affects only the style of the axis path: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisStyle -> Blue]] Out[1]= [image] ``` --- ``AxisStyle -> Transparent`` will hide the axis curve, leaving only the ticks and labels: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisStyle -> Transparent]] Out[1]= [image] ``` --- ``AxisStyle`` inherits from the overall base style for the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisStyle -> Thick, BaseStyle -> Red]] Out[1]= [image] ``` #### BaseStyle (3) Construct a red axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, BaseStyle -> Red]] Out[1]= [image] ``` --- ``AxisStyle`` affects only the style of the axis path: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, AxisStyle -> Blue, BaseStyle -> Red]] Out[1]= [image] ``` --- ``TicksStyle`` affects the style of the ticks, including their labels: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TicksStyle -> Blue, BaseStyle -> Red]] Out[1]= [image] ``` #### LabelStyle (4) ``LabelStyle`` affects only the style of the labels: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, LabelStyle -> Blue]] Out[1]= [image] In[2]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, LabelStyle -> Blue, BaseStyle -> Red]] Out[2]= [image] ``` --- Use ``LabelStyle -> size`` to specify the font size for the labels: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, LabelStyle -> 16]] Out[1]= [image] ``` --- Specify a font and font size for the labels: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, LabelStyle -> {FontFamily -> "Times", 15}]] Out[1]= [image] ``` --- ``LabelStyle`` inherits from the overall base style for the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, LabelStyle -> 16, BaseStyle -> Red]] Out[1]= [image] ``` #### TickDirection (4) By default, ticks point up and to the right: ```wl In[1]:= Graphics[{AxisObject[Line[{{-2, -3}, {2, -3}}], {0, 10}], AxisObject[Line[{{-2, 3}, {2, 3}}], {0, 10}], AxisObject[Line[{{-3, -2}, {-3, 2}}], {0, 10}], AxisObject[Line[{{3, -2}, {3, 2}}], {0, 10}]}] Out[1]= [image] ``` --- Point all the ticks toward the center of the graphic: ```wl In[1]:= Graphics[{AxisObject[Line[{{-2, -3}, {2, -3}}], {0, 10}, TickDirection -> "Inward"], AxisObject[Line[{{-2, 3}, {2, 3}}], {0, 10}, TickDirection -> "Inward"], AxisObject[Line[{{-3, -2}, {-3, 2}}], {0, 10}, TickDirection -> "Inward"], AxisObject[Line[{{3, -2}, {3, 2}}], {0, 10}, TickDirection -> "Inward"]}] Out[1]= [image] ``` --- Point all the ticks away from the center of the graphic: ```wl In[1]:= Graphics[{AxisObject[Line[{{-2, -3}, {2, -3}}], {0, 10}, TickDirection -> "Outward"], AxisObject[Line[{{-2, 3}, {2, 3}}], {0, 10}, TickDirection -> "Outward"], AxisObject[Line[{{-3, -2}, {-3, 2}}], {0, 10}, TickDirection -> "Outward"], AxisObject[Line[{{3, -2}, {3, 2}}], {0, 10}, TickDirection -> "Outward"]}] Out[1]= [image] ``` --- Use ticks that point to the left or right: ```wl In[1]:= Graphics[{AxisObject[Line[{{-1, -1}, {-1, 1}}], {0, 10}, TickDirection -> Right], AxisObject[Line[{{1, -1}, {1, 1}}], {0, 10}, TickDirection -> Left]}] Out[1]= [image] ``` Use ticks that point up or down: ```wl In[2]:= Graphics[{AxisObject[Line[{{-1, -1}, {1, -1}}], {0, 10}, TickDirection -> Up], AxisObject[Line[{{-1, 1}, {1, 1}}], {0, 10}, TickDirection -> Down]}] Out[2]= [image] ``` #### TickLabels (3) Ticks are automatically labeled by default: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickLabels -> Automatic]] Out[1]= [image] ``` --- Use automatic labels for the first collection of ticks and no labels for the second: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{0, 10, 2}, {1, 9, 2}}, TickLabels -> {All, None}]] Out[1]= [image] ``` Reverse the labeling of tick collections: ```wl In[2]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{0, 10, 2}, {1, 9, 2}}, TickLabels -> {None, All}]] Out[2]= [image] ``` --- Use specific labels for each tick: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{0, 10, 1}}, TickLabels -> {CharacterRange["a", "k"]}]] Out[1]= [image] ``` #### TickLabelOrientation (5) Tick labels are horizontal by default: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickLabelOrientation -> "Horizontal"]] Out[1]= [image] ``` --- Rotate the labels 90° so that they read bottom to top: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickLabelOrientation -> "Vertical"]] Out[1]= [image] ``` --- Rotate the labels so that the text is parallel to the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickLabelOrientation -> "Parallel"]] Out[1]= [image] ``` --- Rotate the labels so that the text is perpendicular to the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickLabelOrientation -> "Perpendicular"]] Out[1]= [image] ``` --- Rotate the labels by an arbitrary angle: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 0}}], {0, 10}, TickLabelOrientation -> 45Degree]] Out[1]= [image] ``` #### TickLabelPositioning (2) Tick labels are placed at the base of the tick by default: ```wl In[1]:= Graphics[{AxisObject[Line[{{0, 2}, {10, 2}}], {0, 10}, TickDirection -> Down], AxisObject[Line[{{0, -2}, {10, -2}}], {0, 10}, TickDirection -> Up]}] Out[1]= [image] ``` --- Place the labels at the tip of the tick: ```wl In[1]:= Graphics[{AxisObject[Line[{{0, 2}, {10, 2}}], {0, 10}, TickDirection -> Down, TickLabelPositioning -> "Tip"], AxisObject[Line[{{0, -2}, {10, -2}}], {0, 10}, TickDirection -> Up, TickLabelPositioning -> "Tip"]}] Out[1]= [image] ``` #### TickLengths (3) Use the default lengths for major and minor ticks: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}]] Out[1]= [image] ``` --- Use a scaled length for all the ticks: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickLengths -> 0.1]] Out[1]= [image] ``` --- Use different tick lengths for different collections of ticks: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickLengths -> {0.2, 0.1}]] Out[1]= [image] ``` #### TickPositions (5) Use approximately six ticks along the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {6}]] Out[1]= [image] ``` --- Use major and minor ticks: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {6, 6}]] Out[1]= [image] ``` --- Use ticks at integer positions along the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{1}}]] Out[1]= [image] ``` --- Specify the lower and upper bounds for the ticks: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{0, 5, 1}}]] Out[1]= [image] ``` --- Give a list of specific tick locations for the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{{1, 2, 3, 5, 7, 10}}}]] Out[1]= [image] ``` #### TicksStyle (3) ``TicksStyle`` styles both the tick marks and labels: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TicksStyle -> Blue]] Out[1]= [image] ``` --- Use different styles for different collections of ticks: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{0, 10, 2}, {1, 9, 2}}, TickLengths -> 0.1, TicksStyle -> {Red, Blue}]] Out[1]= [image] ``` --- ``TicksStyle`` inherits from the overall base style for the axis: ```wl In[1]:= Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TicksStyle -> Thick, BaseStyle -> Red]] Out[1]= [image] ``` ### Applications (2) Create a ruler labeled down to the quarter-inch: ```wl In[1]:= Graphics[AxisObject[{"Horizontal", 0, {0, 12}}, {0, 5}, TickPositions -> {{0, 6, 1}, {0.5, 6, 1}, {0.25, 6, 0.5}, {0.125, 6, 0.25}}, TickLabels -> {Automatic, Automatic, Automatic, None}, TickLengths -> {0.75, 0.6, 0.4, 0.3}, TickDirection -> Up, TickLabelPositioning -> "Tip", AxisLabel -> Placed["INCH", {0.0, {1.1, 1.2}}], RotateLabel -> 270 °]] Out[1]= [image] ``` --- Use three axes to construct a frame for ternary plots: ```wl In[1]:= ternaryFrame = Graphics[{ AxisObject[Line[{{1, 0}, {0, 0}}], {0, 100}, AxisLabel -> Placed["Component A", {0.5, {0.5, 2.5}}], RotateLabel -> Automatic, TickDirection -> "Inward"], AxisObject[Line[{{0, 0}, {0.5, Sqrt[3] / 2.}}], {0, 100}, AxisLabel -> Placed["Component B", {0.5, {0.5, -2.0}}], RotateLabel -> 60Degree, TickDirection -> "Inward"], AxisObject[Line[{{0.5, Sqrt[3] / 2.}, {1, 0}}], {0, 100}, AxisLabel -> Placed["Component C", {0.5, {0.5, -2.0}}], RotateLabel -> -60Degree, TickDirection -> "Inward"]}, PlotRange -> {{0, 1}, {0, 1}}] Out[1]= [image] ``` Create a ternary list plot: ```wl In[2]:= ternary[{x_, y_, z_}] := Normalize[{x, y, z}, Total].{{0, 0}, {0.5, Sqrt[3] / 2.}, {1, 0}} In[3]:= data = Table[Tooltip[Point[ternary[{x, y, z}]], {x, y, z}], {x, 0, 100, 25}, {y, 0, 100, 25}, {z, 0, 100, 25}]; In[4]:= Show[Graphics[{Blue, data}], ternaryFrame] Out[4]= [image] ``` ## See Also * [`Graphics`](https://reference.wolfram.com/language/ref/Graphics.en.md) * [`Axes`](https://reference.wolfram.com/language/ref/Axes.en.md) * [`Frame`](https://reference.wolfram.com/language/ref/Frame.en.md) * [`Line`](https://reference.wolfram.com/language/ref/Line.en.md) * [`InfiniteLine`](https://reference.wolfram.com/language/ref/InfiniteLine.en.md) * [`HorizontalGauge`](https://reference.wolfram.com/language/ref/HorizontalGauge.en.md) * [`VerticalGauge`](https://reference.wolfram.com/language/ref/VerticalGauge.en.md) * [`NumberLinePlot`](https://reference.wolfram.com/language/ref/NumberLinePlot.en.md) * [`BulletGauge`](https://reference.wolfram.com/language/ref/BulletGauge.en.md) * [`AngularGauge`](https://reference.wolfram.com/language/ref/AngularGauge.en.md) * [`Ticks`](https://reference.wolfram.com/language/ref/Ticks.en.md) * [`FrameTicks`](https://reference.wolfram.com/language/ref/FrameTicks.en.md) ## Related Guides * [Graphics Objects](https://reference.wolfram.com/language/guide/GraphicsObjects.en.md) ## History * [Introduced in 2021 (12.3)](https://reference.wolfram.com/language/guide/SummaryOfNewFeaturesIn123.en.md)