diff --git a/src/adapptext.civet b/src/adapptext.civet
index 5138235..661a250 100644
--- a/src/adapptext.civet
+++ b/src/adapptext.civet
@@ -13,7 +13,8 @@ obs := new MutationObserver (mutationList) =>
          newNode := (newGenericNode as HTMLElement)
          newParent := (change.target as HTMLElement)
          unless newNode.tagName is 'APPLET' then continue
-         unless newNode.getAttribute('code') is 'Geometry' then continue
+         code := newNode.getAttribute('code')
+         unless code is 'Geometry' or code is 'Geometry.class' then continue
          id .= newParent.getAttribute 'id'
          unless id
             id = 'joyceApplet' + joyceApplets.length
diff --git a/src/adapptlet.civet b/src/adapptlet.civet
index 70b8e15..edec023 100644
--- a/src/adapptlet.civet
+++ b/src/adapptlet.civet
@@ -56,7 +56,7 @@ function vertFlipped(coords: number[], cdata: ConstructionData): XYZ
   coords = coords.slice()
   if cdata.is3d
      if coords[Z] then coords[Z] = -coords[Z]
-  else coords[Y] = cdata.height - coords[Y]
+  coords[Y] = cdata.height - coords[Y]
   return coords as XYZ
 
 type ConstructionData
@@ -67,6 +67,7 @@ type ConstructionData
   height: number
   elements: JoyceElements
   pivot: string
+  title?: string
 
 // Global data setup for pivoting (ugh, but necessary because the api
 // is not passed to the callback, so we have to look up the slider in
@@ -128,11 +129,12 @@ function postApplets(jApplets: AppletDescription[], codebase = '')
             if is3d
                depth .= jApp.width
                if jApp.height > depth then depth = jApp.height
+               depth /= 8
                api.setCoordSystem
-                  -10, 10 + jApp.width,
-                  -10, 10 + jApp.height,
-                  -depth - 10, depth + 10,
-                  false
+                  -10 + jApp.width/6, 10 + 4*jApp.width/6,
+                  -10 + jApp.height/6, 10 + 4*jApp.height/6,
+                  -2*depth - 10, depth + 10,
+                  true
                api.setAxesVisible 3, false, false, false
                api.setGridVisible 3, false
             else
@@ -185,7 +187,8 @@ type ClassHandler = (
    method: string,
    args: JoyceArguments,
    index: number,
-   cdata: ConstructionData) => Commander
+   cdata: ConstructionData,
+   colors: string[]) => Commander
 type RGB = [number, number, number]
 type XYZ = RGB
 
@@ -207,8 +210,8 @@ function dispatchJcommand(
       'title'
          if adapParams.config?.commands
             console.log 'Setting title to', value
-         corner := cdata.is3d ? 'Corner(-1,1)' : 'Corner(1,1)'
-         api.evalCommand `TitlePoint = ${corner}
+         cdata.title = value
+         api.evalCommand `TitlePoint = Corner(1,1)
             Text("${value}", TitlePoint + (2,5))`
       'pivot'
          return  // already handled in postApplets
@@ -257,7 +260,7 @@ function jToG(
    args: JoyceArguments := {}
    usesCaptions := []
    for each jdep of data.split ','
-      scalar := parseFloat jdep
+      scalar := Number jdep
       if scalar is scalar // not NaN
          (args.scalar ?= []).push scalar
          continue
@@ -271,7 +274,7 @@ function jToG(
          (args.subpoints ?= []).push depGeo
       else if depKlass is 'line'
          (args.subpoints ?= []).push ...ends ?? []
-   cmdr = classHandler[klass] name, method, args, index, cdata
+   cmdr = classHandler[klass] name, method, args, index, cdata, colors
    unless name is jname then cmdr.callbacks.push (api: AppletObject) =>
       api.setCaption name, jname
       api.setLabelStyle name, 3  // style CAPTION = 3
@@ -312,23 +315,26 @@ function jToG(
          // we can adjust components after setting overall color, etc.
 
          // Color the "Faces"; they default to 'brighter':
-         if invisible colors[3]
-             for each face of parts[2]
-                if face is name
-                   console.log 'Fading out interior of', face if traceC
-                   // hide the interior by making it transparent
-                   api.setFilling face, 0
-                else if face not in cdata.elements
-                   console.log 'Hiding face', face if traceC
-                   api.setVisible face, false
+         if invisible(colors[3]) and (klass !== 'sphere' or invisible colors[2])
+            for each face of parts[2]
+               if face is name
+                  console.log 'Fading out interior of', face if traceC
+                  // hide the interior by making it transparent
+                  api.setFilling face, 0
+               else if face not in cdata.elements
+                  console.log 'Hiding face', face if traceC
+                  api.setVisible face, false
          else
-            faceRGB := joyce2rgb(colors[3] or 'brighter', cdata.bg)
+            surface .= colors[3]
+            if klass is 'sphere' and invisible surface
+               surface = colors[2] // for Joyce, spheres had one circular "edge"
+            faceRGB := joyce2rgb(surface or 'brighter', cdata.bg)
             deep := ['circle', 'polygon', 'sector']
             filling := deep.includes(klass) ? 0.7 : 0.2
             for each face of parts[2]
                if traceC
                   console.log 'Coloring face', face, 'to',
-                     colors[3], '=', faceRGB
+                     surface, '=', faceRGB
                api.setVisible face, true
                api.setFilling face, filling
                api.setColor face, ...faceRGB
@@ -485,7 +491,7 @@ function joyce2rgb(cname: string, backgroundRGB?: RGB): RGB
       /yellow/i
          [255,255,0]
       /random/i
-         colorsea.random().lighten(40).rgb()
+         colorsea.random().lighten(30).rgb()
       /background/i
          bg
       /brighter/i
@@ -514,7 +520,7 @@ function pointDefaultColorName(
 
 function geoname(
       jname: JoyceName, elements: JoyceElements, klass: JoyceClass): GeoName
-   unless jname.substring(0,3) is 'Geo' // those might clash
+   unless jname is 'floor' or jname.substring(0,3) is 'Geo' // those might clash
       // Names with word characters starting with a capital are always good:
       if /^[A-Z]['\w]*$/.test jname then return jname
       // If it's not a point, can start with any letter:
@@ -568,13 +574,30 @@ function proportionSimilar(
 // All of the detailed semantics of each available command lies in this
 // function.
 classHandler: Record<JoyceClass, ClassHandler> :=
-   point: (name, method, args, index, cdata): Commander =>
+   point: (name, method, args, index, cdata, colors): Commander =>
       return := freshCommander()
       {commands, callbacks, parts, auxiliaries} := return.value
       zeroVector := cdata.is3d ? 'Vector((0,0,0))' : 'Vector((0,0))'
+      defaultPlane := cdata.is3d ? ', xOyPlane' : ''
       aux := name + 'aUx'
       pivotable := cdata.pivot and name !== pivotData[cdata.pivot].pivot
       parts[0].push name
+      // HACK: Special-case corrections for Joyce Elements Bk XI
+      if cdata.title is 'XI.4'
+         if name is 'Z' and method is 'fixed' and args.scalar?.length is 3
+            method = 'perpendicular'
+            args.subpoints = ['E','P2','A']
+            args.plane = ['baseplane']
+            colors[0] = '0'
+            colors[1] = '0'
+         if name is 'F' and method is 'lineSlider' and args.subpoints?[0] is 'E'
+            args.scalar = [160,40,60]
+      if cdata.title is 'XI.5'
+         if name is 'A' and method is 'free'
+            method = 'perpendicular'
+            args.subpoints = ['B','P1','P3']
+            args.plane = ['xOyPlane']
+            commands.push 'B=(80,140)'
       switch method
          /angle(?:Bisector|Divider)/
             {center, foot} :=
@@ -604,6 +627,12 @@ classHandler: Record<JoyceClass, ClassHandler> :=
             if args.scalar and args.scalar.length
                callbacks.push (api: AppletObject) =>
                   api.setCoords name, ...vertFlipped(args.scalar or [], cdata)
+         'circumcenter'
+            unless args.subpoints?.length is 3 then return
+            commands.push
+               `${aux} = Circle(${args.subpoints.join ','})`
+               `${name} = Center(${aux})`
+            auxiliaries.push aux
          /cutoff|extend/
             pt := args.subpoints
             unless pt and pt.length is 4 then return
@@ -612,9 +641,9 @@ classHandler: Record<JoyceClass, ClassHandler> :=
             commands.push `${name} = Translate(${source}, ${displacement})`
          'first'
             unless args.subpoints then return
-            // HACK: Special-case correction for Joyce Elements Bk II, prop 14
             index .= 0
-            if name === 'H' and args.line and args.line[0] === 'HH2'
+            // HACK: Special-case correction for Joyce Elements Bk II, prop 14
+            if cdata.title is 'II.14' and name is 'H' and args.line?[0] is 'HH2'
                index = 1
             commands.push `${name} = ${args.subpoints[index]}`
          /fixed|free/
@@ -638,9 +667,9 @@ classHandler: Record<JoyceClass, ClassHandler> :=
             // Checking Joyce source, means intersection of lines, not
             // intersection of line segments
             pt := args.subpoints
-            unless pt then return
+            unless pt and pt.length > 1 then return
             l1 := `Line(${pt[0]},${pt[1]})`
-            e2 := args.plane ? args.plane[0] : `Line(${pt[2]},${pt[3]})`
+            e2 := pt.length < 3 ? args.plane?[0] : `Line(${pt[2]},${pt[3]})`
             commands.push `${name} = Intersect(${l1},${e2})`
          'last'
             unless args.subpoints then return
@@ -682,15 +711,49 @@ classHandler: Record<JoyceClass, ClassHandler> :=
             unless pt then return
             commands.push `${name} = ${pt[0]} + ${pt[2]} - ${pt[1]}`
          'perpendicular'
-            // Note only the two-point option implemented so far
-            unless args.subpoints return
-            [center, direction] := args.subpoints
-            commands.push `${name} = Rotate(${direction}, pi/2, ${center})`
+            pt := args.subpoints
+            unless pt return
+            inPlane := args.plane ? `,${args.plane[0]}` : defaultPlane
+            center := pt[0]
+            switch pt.length
+               when 2
+                  commands.push
+                     `${name} = Rotate(${pt[1]}, pi/2, ${center}${inPlane})`
+               when 3 // perpendicular **to** the plane
+                  // Uses lots of auxiliaries
+                  radius := `Distance(${pt[1]}, ${pt[2]})`
+                  commands.push
+                     `${aux}1 = Circle(${center}, ${radius}${inPlane})`
+                     `${aux}2 = PointIn(${aux}1)`
+                     `${aux}3 = PerpendicularLine(${center}${inPlane})`
+                     `${aux}4 = Plane(${aux}2, ${aux}3)`
+                     `${name} = Rotate(${aux}2, pi/2, ${center}, ${aux}4)`
+                  auxiliaries.push aux+n for n of [1..4]
+               when 4
+                  commands.push
+                     `${aux}1 = Ray(${center}, Rotate(${pt[1]}, pi/2, ${center}${inPlane}))`
+                     `${aux}2 = Circle(${center}, Distance(${pt[2]},${pt[3]})${inPlane})`
+                     `${name} = Intersect(${aux}1, ${aux}2)`
+                  auxiliaries.push aux+1, aux+2
+         'planeSlider'
+            pln := args.plane?[0]
+            unless pln then return
+            commands.push `${name} = PointIn(${pln})`
+            if args.scalar and args.scalar.length
+               callbacks.push (api: AppletObject) =>
+                  api.setCoords name, ...vertFlipped(args.scalar or [], cdata)
          /proportion|similar/
             [source, displacement] :=
                proportionSimilar method, args, cdata, aux, commands, auxiliaries
             unless source then return
             commands.push `${name} = Translate(${source}, ${displacement})`
+         'sphereSlider'
+            sph := args.sphere?[0]
+            unless sph then return
+            commands.push `${name} = PointIn(${sph})`
+            if args.scalar and args.scalar.length
+               callbacks.push (api: AppletObject) =>
+                  api.setCoords name, ...vertFlipped(args.scalar or [], cdata)
          'vertex'
             commands.push
                `${name} = Vertex(${args.polygon?[0]},${args.scalar?[0]})`
@@ -731,7 +794,7 @@ classHandler: Record<JoyceClass, ClassHandler> :=
               `${aux}4 = If(${condition}, ${aux}2, ${aux}1)`
             ends[0] = aux + 3
             ends[1] = aux + 4
-            auxiliaries.push ...[1..4].map (n) => aux + n
+            auxiliaries.push aux+n for n of [1..4]
          'chord'
             // To match Joyce, we need to get the ordering here correct.
             // The complicated condition about distances is modeled after
@@ -755,7 +818,7 @@ classHandler: Record<JoyceClass, ClassHandler> :=
               `${aux}4 = If(${condition}, ${aux}1, ${aux}2)`
             ends[0] = aux + 3
             ends[1] = aux + 4
-            auxiliaries.push ...[1..4].map (n) => aux + n
+            auxiliaries.push aux+n for n of [1..4]
          'connect'
             unless args.subpoints and args.subpoints.length is 2 then return
             ends[0] = args.subpoints[0]
@@ -810,7 +873,17 @@ classHandler: Record<JoyceClass, ClassHandler> :=
                   commands.push
                      `${aux} = Rotate(${pt[1]}, pi/2, ${pt[0]}${inPlane})`
                when 3
-                  return // TODO: line perpendicular to plane
+                  radius := `Distance(${pt[1]}, ${pt[2]})`
+                  commands.push
+                     `${aux}1 = PerpendicularLine(${pt[1]}${inPlane})`
+                     `${aux}2 = Intersect(${aux}1${inPlane})`
+                     `${aux}3 = Circle(${aux}2, ${radius}${inPlane})`
+                     `${aux}4 = PointIn(${aux}3)`
+                     `${aux}5 = Plane(${aux}4, ${aux}1)`
+                     `${aux}6 = Rotate(${aux}4, pi/2, ${aux}2, ${aux}5)`
+                  ends[0] = aux + 2
+                  ends[1] = aux + 6
+                  auxiliaries.push aux+n for n of [1..6]
                when 4
                   ends[0] = pt[0]
                   ends[1] = aux + 2
@@ -836,22 +909,27 @@ classHandler: Record<JoyceClass, ClassHandler> :=
       callbacks.push (api: AppletObject) => api.setLabelVisible name, true
       parts[0].push ...ends
 
-   circle: (name, method, args) =>
+   circle: (name, method, args, index, cdata) =>
       return := freshCommander()
       return.value.ends = ['', '']
       {commands, callbacks, parts, auxiliaries, ends} := return.value
       aux := name + 'aUx'
       parts[1].push name
       circle .= ''
+      defaultPlane := cdata.is3d ? ', xOyPlane' : ''
       switch method
          'circumcircle'
             pt := args.subpoints
             unless pt and pt.length is 3 then return
             circle = `Circle(${pt.join ','})`
+         'intersection'
+            sph := args.sphere
+            unless sph and sph.length is 2 then return
+            circle = `IntersectConic(${sph[0]}, ${sph[1]})`
          'radius'
             pt := args.subpoints
             unless pt then return
-            inPlane := args.plane ? `, ${args.plane[0]}` : ''
+            inPlane := args.plane ? `, ${args.plane[0]}` : defaultPlane
             switch pt.length
                when 2
                   [center, point] := pt
@@ -931,7 +1009,7 @@ classHandler: Record<JoyceClass, ClassHandler> :=
                   `${aux}1 = Angle(${pt[3]},${pt[2]},${pt[4]}${inSourcePlane})`
                   `${aux}2 = Rotate(${pt[1]},${aux}1,${pt[0]}${inDestPlane})`
                   `${aux}3 = ${pt[0]} + (${aux}2 - ${pt[0]})*${factor}`
-               auxiliaries.push ...[1..3].map (n) => aux + n
+               auxiliaries.push aux+n for n of [1..3]
                pt = [pt[0], pt[1], aux+3]
             else
                commands.push ''
@@ -949,12 +1027,14 @@ classHandler: Record<JoyceClass, ClassHandler> :=
                   api.renameObject obj, newObj
                   moreParts[1].push newObj
 
-   sector: (name, method, args, index) =>
+   sector: (name, method, args, index, cdata) =>
       return := freshCommander()
       return.value.ends = ['', '']
       {commands, callbacks, parts, auxiliaries, ends} := return.value
       aux := name + 'aUx'
       parts[2].push name
+      defaultPlane := cdata.is3d ? ', xOyPlane' : ''
+      inPlane .= args.plane ? `, ${args.plane[0]}` : defaultPlane
       switch method
          /arc|sector/
             unless args.subpoints?.length is 3 return
@@ -968,12 +1048,14 @@ classHandler: Record<JoyceClass, ClassHandler> :=
                center = temp
                parms = start + ', ' + center + ', ' + end
                prefix = 'Circumcircular'
+               inPlane = '' // not needed in 3-point case
             ends[0] = start
             ends[1] = end
             commands.push
-               `${name} = ${prefix}Sector(${parms})`
-               `${aux}1 = ${prefix}Arc(${parms})`
+               `${name} = ${prefix}Sector(${parms}${inPlane})`
+               `${aux}1 = ${prefix}Arc(${parms}${inPlane})`
             parts[1].push aux + 1
+            auxiliaries.push aux + 1
             makeLinesInvisible callbacks, name
 
    plane: (name, method, args) =>
@@ -984,38 +1066,133 @@ classHandler: Record<JoyceClass, ClassHandler> :=
          '3points'
             unless args.subpoints?.length is 3 then return
             commands.push `${name} = Plane(${args.subpoints.join ','})`
+         'parallel'
+            unless args.subpoints?.length is 1 then return
+            unless args.plane?.length is 1 then return
+            commands.push `${name} = Plane(${args.subpoints[0]}, ${args.plane[0]})`
          'perpendicular'
             unless args.subpoints?.length is 2 then return
             [thru, perp] := args.subpoints
             commands.push
                `${name} = PerpendicularPlane(${thru}, Line(${thru}, ${perp}))`
 
-   sphere: (name, method, args) => freshCommander()
-
-   polyhedron: (name, method, args, index) =>
+   sphere: (name, method, args) =>
       return := freshCommander()
       return.value.ends = ['', '']
       {commands, callbacks, parts, auxiliaries, ends} := return.value
-      aux := name + 'aUx'
+      parts[2].push name
+      pt := args.subpoints
+      if method is 'radius' and pt
+         switch pt.length
+            when 2
+               [center, point] := pt
+               ends[0] = center
+               commands.push `${name} = Sphere(${center}, ${point})`
+            when 3
+               center := pt[0]
+               ends[0] = center
+               radius := `Distance(${pt[1]}, ${pt[2]})`
+               commands.push `${name} = Sphere(${center}, ${radius})`
+
+   polyhedron: (name, method, args, index, cdata) =>
+      return := freshCommander()
+      return.value.ends = ['', '']
+      {commands, callbacks, parts, auxiliaries, ends} := return.value
+      aux := geoname name + 'aUx', cdata.elements, 'point'
       switch method
-         'tetrahedron'
-            pt := args.subpoints
+         'parallelepiped'
+            pt .= args.subpoints
             unless pt and pt.length is 4 then return
-            commands.push '' // hack, make sure there is a command
+            // create all of the vertices we will need:
+            commands.push
+               `${aux}4 = ${pt[2]} + ${pt[1]} - ${pt[0]}`
+               `${aux}5 = ${pt[3]} + ${pt[1]} - ${pt[0]}`
+               `${aux}6 = ${pt[3]} + ${pt[2]} - ${pt[0]}`
+               `${aux}7 = ${pt[3]} + ${pt[2]} + ${pt[1]} - 2*${pt[0]}`
+            auxiliaries.push aux+i for i of [4..7]
+            pt = [...pt, ...auxiliaries]
             parts[0].push ...pt
-            ends[0] = aux + 1
-            ends[1] = pt[3]
+            generalRecipe :=
+               A: [0,1,4,2]
+               B: [0,1,5,3]
+               C: [0,2,6,3]
+               D: [3,5,7,6]
+               E: [2,4,7,6]
+               F: [1,4,7,5]
+            letters := ['A'..'F'] as const
+            recipe: Record<string, string[]> := {}
+            for ltr of letters
+               auxlet := aux + ltr
+               auxiliaries.push auxlet
+               parts[2].push auxlet
+               recipe[auxlet] = (pt[i] for each i of generalRecipe[ltr])
+            ends[0] = aux + 'A'
+            ends[1] = aux + 'D'
             callbacks.push (api: AppletObject, moreParts: DimParts) =>
-               madeBase := api.evalCommandGetLabels
-                  `${ends[0]} = Polygon(${pt[0]},${pt[1]},${pt[2]})`
-               if not madeBase return
-               for each obj of madeBase.split ','
-                  if obj is ends[0] continue
+               ix .= 0
+               for piece in recipe
+                  madeIt := api.evalCommandGetLabels
+                     `${piece} = Polygon(${recipe[piece].join ','})`
+                  if not madeIt return
+                  for each obj of madeIt.split ','
+                     if obj is piece continue
+                     newObj := 'GeoAux' + index + obj + ix
+                     api.renameObject obj, newObj
+                     moreParts[1].push newObj
+                  ix += 1
+         'prism'
+            unless args.polygon?.length is 1 then return
+            base := args.polygon[0]
+            ends[0] = base
+            pt := args.subpoints
+            unless pt and pt.length is 2 then return
+            commands.push
+               `${aux}1 = Vertex(${base},1) + ${pt[1]} - ${pt[0]}`
+            auxiliaries.push aux+1
+            ends[1] = aux+1
+            parts[0].push aux+1
+            parts[2].push ends[0]
+            callbacks.push (api: AppletObject, moreParts: DimParts) =>
+               made := api.evalCommandGetLabels
+                  `${name} = Prism(${base}, ${aux}1)`
+               if not made return
+               for each obj of made.split ','
+                  if obj is name continue
                   newObj := 'GeoAux' + index + obj
                   api.renameObject obj, newObj
-                  moreParts[1].push newObj
+                  switch api.getObjectType newObj
+                     'point'
+                        moreParts[0].push newObj
+                     'segment'
+                        moreParts[1].push newObj
+                     else
+                        moreParts[2].push newObj
+         /pyramid|tetrahedron/
+            base .= args.polygon?[0]
+            ends[0] = base or aux + 1
+            pt := args.subpoints
+            unless pt and pt.length > 0 then return
+            // A tetrahedron is just a pyramid where we have to build the
+            // base from three points ourselves. But it has to be done in the
+            // callback, since we have to capture the edges.
+            if method is 'tetrahedron' and pt.length !== 4 then return
+            commands.push '' // hack, make sure there is a command
+            parts[0].push ...pt
+            parts[2].push ends[0]
+            ends[1] = pt.at(-1) or ''
+            callbacks.push (api: AppletObject, moreParts: DimParts) =>
+               if not base
+                  madeBase := api.evalCommandGetLabels
+                     `${ends[0]} = Polygon(${pt[0]},${pt[1]},${pt[2]})`
+                  if not madeBase return
+                  for each obj of madeBase.split ','
+                     if obj is ends[0] continue
+                     newObj := 'GeoAux' + index + obj
+                     api.renameObject obj, newObj
+                     moreParts[1].push newObj
+                  base = ends[0]
                made := api.evalCommandGetLabels
-                  `${name} = Pyramid(${aux}1, ${pt[3]})`
+                  `${name} = Pyramid(${base}, ${ends[1]})`
                if not made return
                for each obj of made.split ','
                   if obj is name continue
@@ -1051,7 +1228,7 @@ function makeAngDiv(
       `${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}, ${center}${inPlane})`
-   auxiliaries.push ...[2..4].map (i) => `${aux}${i}`
+   auxiliaries.push aux+i for i of [2..4]
    return {center, foot: `Intersect(${destination}, Ray(${center}, ${aux}4))`}
 
 // helper for separating color of perimeter and interior: