diff --git a/etc/options.html b/etc/options.html
index 45e7440..e618cf5 100644
--- a/etc/options.html
+++ b/etc/options.html
@@ -16,8 +16,10 @@
   <br/>
   <br/>
   Alter execution of the translated applet: <br/>
-  <label for="showall">Show all entities, even hidden ones</label>
-  <input type="checkbox" id="showall">
+  <label for="showall">Show all applet entities, even hidden ones</label>
+  <input type="checkbox" id="showall"><br/>
+  <label for="showaux">Show geogebra auxiliaries (not in applet)</label>
+  <input type="checkbox" id="showaux">
   <script src="options.js" type="module"></script>
 </body>
 
diff --git a/src/adapptlet.civet b/src/adapptlet.civet
index 1671471..1ca5573 100644
--- a/src/adapptlet.civet
+++ b/src/adapptlet.civet
@@ -122,7 +122,11 @@ function freshCommander(): Commander
 type JoyceArguments =
    Partial<Record<JoyceClass|'subpoints', GeoName[]> & {scalar: number[]}>
 type ClassHandler = (
-   name: GeoName, m: string, args: JoyceArguments, index: number) => Commander
+   name: GeoName,
+   method: string,
+   args: JoyceArguments,
+   index: number,
+   is3d: boolean) => Commander
 type RGB = [number, number, number]
 type XYZ = RGB
 
@@ -154,10 +158,12 @@ function dispatchJcommand(
       /e\[\d+\]/
          num := parseInt(name.slice(2))
          {commands, callbacks, parts} :=
-            jToG value, elements, num, backgroundRGB
+            jToG value, elements, num, backgroundRGB, is3d
          if commands.length
             lastTried .= 0
             if commands.filter((&)).every (cmd) =>
+                  if adapParams.config?.commands
+                     console.log 'Translated to:', cmd
                   api.evalCommand(cmd) and ++lastTried
                callbacks.forEach &(api, parts)
             else console.warn
@@ -173,7 +179,8 @@ function jToG(
       jCom: string,
       elements: JoyceElements,
       index: number,
-      backgroundRGB: RGB): Commander
+      backgroundRGB: RGB
+      is3d: boolean): Commander
    [jname, klass, method, data, ...colors] := jCom.split ';'
    if adapParams.config?.commands
       console.log 'Defining', jname, 'as a', klass, 'constructed by',
@@ -201,11 +208,11 @@ function jToG(
          (args.subpoints ?= []).push depGeo
       else if depKlass is 'line'
          (args.subpoints ?= []).push ...ends ?? []
-   cmdr = classHandler[klass] name, method, args, index
+   cmdr = classHandler[klass] name, method, args, index, is3d
    unless name is jname then cmdr.callbacks.push (api: AppletObject) =>
       api.setCaption name, jname
       api.setLabelStyle name, 3  // style CAPTION = 3
-   if cmdr.auxiliaries.length
+   if cmdr.auxiliaries.length and not adapParams.config?.showaux
       cmdr.callbacks.push (api: AppletObject) =>
          for each aux of cmdr.auxiliaries
             api.setAuxiliary aux, true
@@ -399,14 +406,14 @@ function geoname(jname: JoyceName, elements: JoyceElements): GeoName
 // All of the detailed semantics of each available command lies in this
 // function.
 classHandler: Record<JoyceClass, ClassHandler> :=
-   point: (name, method, args): Commander =>
+   point: (name, method, args, index, is3d): Commander =>
       return := freshCommander()
       {commands, callbacks, parts, auxiliaries} := return.value
       aux := name + 'aUx'
       parts[0].push name
       switch method
-         'angleDivider'
-            // Note doesn't yet handle plane argument
+         /angle(?:Bisector|Divider)/
+            // Note we just ignore a possible plane argument; it's irrelevant
             unless args.subpoints return
             [start, center, end] := args.subpoints
             // see if we need to make the destination segment from start to end
@@ -416,11 +423,13 @@ classHandler: Record<JoyceClass, ClassHandler> :=
                auxiliaries.push destination
                commands.push `${destination} = Segment(${start}, ${end})`
             else destination = args.line[0]
-            n := args.scalar?[0]
+            n := method is 'angleBisector' ? 2 : args.scalar?[0]
+            console.log 'Dividing angle', start, center, end, 'by', n
+            inPlane := is3d ? `, Plane(${start}, ${center}, ${end})` : ''
             commands.push
-               `${aux}2 = Angle(${start}, ${center}, ${end})`
+               `${aux}2 = Angle(${start}, ${center}, ${end}${inPlane})`
                `${aux}3 = If(${aux}2 > pi, ${aux}2 - 2*pi, ${aux}2)`
-               `${aux}4 = Rotate(${start}, ${aux}3/${n}, ${center})`
+               `${aux}4 = Rotate(${start}, ${aux}3/${n}, ${center}${inPlane})`
                `${name} = Intersect(${destination}, Ray(${center}, ${aux}4))`
             auxiliaries.push ...[2..4].map (i) => `${aux}${i}`
          'extend'
@@ -444,15 +453,19 @@ classHandler: Record<JoyceClass, ClassHandler> :=
          'foot'
             pt := args.subpoints
             unless pt then return
+            destination := args.plane
+               ? args.plane[0]
+               : `Line(${pt[1]},${pt[2]})`
             commands.push
-               `${name} = ClosestPoint(Line(${pt[1]},${pt[2]}), ${pt[0]})`
+               `${name} = ClosestPoint(${destination}, ${pt[0]})`
          'intersection'
             // Checking Joyce source, means intersection of lines, not
             // intersection of line segments
-            unless args.subpoints then return
-            l1 := `Line(${args.subpoints[0]},${args.subpoints[1]})`
-            l2 := `Line(${args.subpoints[2]},${args.subpoints[3]})`
-            commands.push `${name} = Intersect(${l1},${l2})`
+            pt := args.subpoints
+            unless pt then return
+            l1 := `Line(${pt[0]},${pt[1]})`
+            e2 := args.plane ? args.plane[0] : `Line(${pt[2]},${pt[3]})`
+            commands.push `${name} = Intersect(${l1},${e2})`
          'last'
             unless args.subpoints then return
             commands.push `${name} = ${args.subpoints.at(-1)}`
@@ -626,8 +639,22 @@ classHandler: Record<JoyceClass, ClassHandler> :=
                // copy of the entity, and so we have to hide the original one
                api.setVisible name, false
 
-   plane: (name, method, args) => freshCommander()
+   plane: (name, method, args) =>
+      return := freshCommander()
+      {commands, callbacks, parts, auxiliaries} := return.value
+      parts[2].push name
+      switch method
+         '3points'
+            unless args.subpoints?.length is 3 then return
+            commands.push `${name} = Plane(${args.subpoints.join ','})`
+         'perpendicular'
+            unless args.subpoints?.length is 2 then return
+            [thru, perp] := args.subpoints
+            commands.push
+               `${name} = PerpendicularPlane(${thru}, Line(${thru}, ${perp}))`
+
    sphere: (name, method, args) => freshCommander()
+
    polyhedron: (name, method, args, index) =>
       return := freshCommander()
       return.value.ends = ['', '']
diff --git a/src/adapptypes.civet b/src/adapptypes.civet
index 9ee49a7..5abf456 100644
--- a/src/adapptypes.civet
+++ b/src/adapptypes.civet
@@ -1,4 +1,4 @@
-export const flags = ['color', 'commands', 'showall'] as const
+export const flags = ['color', 'commands', 'showall', 'showaux'] as const
 export type FlagType = (typeof flags)[number]
 export type ConfigType = Partial<Record<FlagType, boolean>>