diff --git a/engine/src/flutter/examples/style/block-layout.sky b/engine/src/flutter/examples/style/block-layout.sky
new file mode 100644
index 0000000000..b303db047e
--- /dev/null
+++ b/engine/src/flutter/examples/style/block-layout.sky
@@ -0,0 +1,74 @@
+SKY MODULE
+<import src="sky:core" as="sky"/>
+<!--
+ ! this module provides trivial vertical block layout
+ ! no margins, padding, borders, etc
+ !-->
+<script>
+ module.exports.BlockLayoutManager = class BlockLayoutManager extends sky.LayoutManager {
+   function layout(width, height) {
+     if (width == null)
+       width = this.getIntrinsicWidth().value;
+     let autoHeight = false;
+     if (height == null) {
+       height = 0;
+       autoHeight = true;
+     }
+     this.assumeDimensions(width, height);
+     let children = this.walkChildren();
+     let loop = children.next();
+     let y = 0;
+     while (!loop.done) {
+       let child = loop.value;
+       if (child.needsLayout) {
+         let dims = child.layoutManager.layout(width, null);
+         this.setChildSize(child, dims.width, dims.height);
+       }
+       this.setChildPosition(child, 0, y);
+       y += child.height;
+       loop = children.next();
+     }
+     if (autoHeight)
+       height = y;
+     return {
+       width: width,
+       height: height,
+     }
+   }
+   function getIntrinsicWidth() {
+     let width = this.node.getProperty('width');
+     if (typeof height != 'number') {
+       // e.g. width: auto
+       width = 0;
+       let children = this.walkChildren();
+       let loop = children.next();
+       while (!loop.done) {
+         let child = loop.value;
+         let childWidth = child.layoutManager.getIntrinsicWidth();
+         if (width < childWidth.value)
+           width = childWidth.value;
+         loop = children.next();
+       }
+     }
+     return super(width); // applies and provides our own min-width/max-width rules
+   }
+   function getIntrinsicHeight() {
+     let height = this.node.getProperty('height');
+     if (typeof height != 'number') {
+       // e.g. height: auto
+       height = 0;
+       let children = this.walkChildren();
+       let loop = children.next();
+       while (!loop.done) {
+         let child = loop.value;
+         let childHeight = child.layoutManager.getIntrinsicHeight();
+         if (height < childHeight.value)
+           height = childHeight.value;
+         loop = children.next();
+       }
+     }
+     return super(height); // applies and provides our own min-width/max-width rules
+   }
+ }
+ sky.registerLayoutManager('block', module.exports.BlockLayoutManager);
+</script>
diff --git a/engine/src/flutter/examples/style/hex-layout.sky b/engine/src/flutter/examples/style/hex-layout.sky
new file mode 100644
index 0000000000..ca286f0401
--- /dev/null
+++ b/engine/src/flutter/examples/style/hex-layout.sky
@@ -0,0 +1,146 @@
+#!mojo mojo:sky
+<import src="sky:core" as="sky"/>
+<script>
+ class BeehiveLayoutManager extends sky.LayoutManager {
+   function layout(width, height) {
+     if (width == null)
+       width = this.getIntrinsicWidth().value;
+     let autoHeight = false;
+     if (height == null) {
+       height = 0;
+       autoHeight = true;
+     }
+     this.assumeDimensions(width, height);
+     let cellCount = this.node.getProperty('beehive-count');
+     let cellDim = width / cellCount;
+     let children = this.walkChildren();
+     let loop = children.next();
+     let x = 0;
+     let y = 0;
+     while (!loop.done) {
+       let child = loop.value;
+       if (child.needsLayout) {
+         child.layoutManager.layout(cellDim, cellDim);
+         // we ignore the size the child reported from layout(), and force it to the cell dimensions
+         this.setChildSize(child, cellDim, cellDim);
+       }
+       this.setChildPosition(child, x * cellDim + (y % 2) * cellDim/2, y * 3/4 * cellDim);
+       x += 1;
+       if (x > cellCount) {
+         y += 1;
+         x = 0;
+       }
+       loop = children.next();
+     }
+     if (height == 0)
+       height = (1 + y * 3/4) * cellDim;
+     return {
+       width: width,
+       height: height,
+     }
+   }
+   function getIntrinsicWidth() {
+     // this is the logic that LayoutManager.getIntrinsicWidth() has by default
+     // shown here because I wrote it before realising it should be the default
+     let width = this.node.getProperty('width');
+     if (typeof width != 'number')
+       width = 0;
+     let minWidth = this.node.getProperty('min-width');
+     if (typeof width != 'number')
+       minWidth = 0;
+     let maxWidth = this.node.getProperty('max-width');
+     if (typeof width != 'number')
+       maxWidth = Infinity;
+     if (maxWidth < minWidth)
+       maxWidth = minWidth;
+     if (width > maxWidth)
+       width = maxWidth;
+     if (width < minWidth)
+       width = minWidth;
+     return {
+       minimum: minWidth,
+       value: width,
+       maximum: maxWidth,
+     };
+   }
+   function getIntrinsicHeight() {
+     let height = this.node.getProperty('height');
+     if (typeof height != 'number') {
+       // e.g. height: auto
+       width = this.getIntrinsicWidth().value;
+       let cellCount = this.node.getProperty('beehive-count');
+       let cellDim = width / cellCount;
+       let children = this.walkChildren();
+       let loop = children.next();
+       let childCount = 0;
+       while (!loop.done) {
+         childCount += 1;
+         loop.next();
+       }
+       if (childCount > 0)
+         height = cellDim * (1/4 + Math.ceil(childCount / cellCount) * 3/4);
+       else
+         height = 0;
+     }
+     return super(height); // does the equivalent of getIntrinsicWidth() above, applying min-height etc
+   }
+   function paintChildren(RenderingSurface canvas) {
+     let width = this.node.width;
+     let cellCount = this.node.getProperty('beehive-count');
+     let cellDim = width / cellCount;
+     let children = this.walkChildren();
+     let loop = children.next();
+     while (!loop.done) {
+       let child = loop.value;
+       if (child.needsPaint) {
+         canvas.save();
+         try {
+           canvas.beginPath();
+           canvas.moveTo(child.x, child.y + cellDim/4);
+           canvas.lineTo(child.x + cellDim/2, child.y);
+           canvas.lineTo(child.x + cellDim, child.y + cellDim/4);
+           canvas.lineTo(child.x + cellDim, child.y + 3*cellDim/4);
+           canvas.lineTo(child.x + cellDim/2, child.y + cellDim);
+           canvas.moveTo(child.x, child.y + 3*cellDim/4);
+           canvas.closePath();
+           canvas.clip();
+           child.paint(canvas);
+         } finally {
+           canvas.restore();
+         }
+       }
+       loop = children.next();
+     }
+   }
+ }
+ sky.registerLayoutManager('beehive', BeehiveLayoutManager);
+ let BeehiveCountStyleValueType = new StyleValueType();
+ BeehiveCountStyleValueType.addParser((tokens) => {
+   let token = tokens.next();
+   if (token.done) throw new Error();
+   if (token.value.kind != 'number') throw new Error();
+   if (token.value.value <= 0) throw new Error();
+   if (Math.trunc(token.value.value) != token.value.value) throw new Error();
+   let result = token.value.value;
+   if (!token.next().done) throw new Error();
+   return result;
+ });
+ sky.registerProperty({
+   name: 'beehive-count',
+   type: BeehiveCountStyleValueType,
+   inherits: true,
+   initialValue: 5,
+   needsLayout: true,
+ });
+</script>
+<style>
+ div { display: beehive; beehive-count: 3; }
+</style>
+<div>
+ <t>Hello</t>
+ <t>World</t>
+ <t>How</t>
+ <t>Are</t>
+ <t>You</t>
+ <t>Today?</t>
+</div>
diff --git a/engine/src/flutter/examples/style/sky-core-styles.sky b/engine/src/flutter/examples/style/sky-core-styles.sky
new file mode 100644
index 0000000000..640236ae40
--- /dev/null
+++ b/engine/src/flutter/examples/style/sky-core-styles.sky
@@ -0,0 +1,143 @@
+SKY MODULE
+<!-- this is part of sky:core -->
+<script>
+ // "internals" is an object only made visible to this module that exports stuff implemented in C++
+ module.exports.registerProperty = internals.registerProperty;
+ internals.registerLayoutManager('none', null);
+ module.exports.LayoutManager = internals.LayoutManager;
+ module.exports.InlineLayoutManager = internals.InlineLayoutManager;
+ internals.registerLayoutManager('inline', internals.InlineLayoutManager);
+ module.exports.ParagraphLayoutManager = internals.ParagraphLayoutManager;
+ internals.registerLayoutManager('paragraph', internals.ParagraphLayoutManager);
+ module.exports.BlockLayoutManager = internals.BlockLayoutManager;
+ internals.registerLayoutManager('block', internals.BlockLayoutManager);
+
+ let displayTypes = new Map();
+ module.exports.registerLayoutManager = function registerLayoutManager(displayValue, layoutManagerConstructor) {
+   // TODO(ianh): apply rules for type-checking displayValue is a String
+   // TODO(ianh): apply rules for type-checking layoutManagerConstructor implements the LayoutManagerConstructor interface (or is null)
+   if (displayTypes.has(displayValue))
+     throw new Error();
+   displayTypes.set(displayValue, layoutManagerConstructor);
+ };
+
+ module.exports.DisplayStyleValueType = new StyleValueType(); // value is null or a LayoutManagerConstructor
+ module.exports.DisplayStyleValueType.addParser((tokens) => {
+   let token = tokens.next();
+   if (token.done)
+     throw new Error();
+   if (token.value.kind != 'identifier')
+     throw new Error();
+   if (!displayTypes.has(token.value.value))
+     throw new Error();
+   return {
+     value: displayTypes.get(token.value.value),
+   }
+ });
+
+ internals.registerProperty({
+   name: 'display',
+   type: module.exports.DisplayStyleValueType,
+   inherits: false,
+   initialValue: internals.BlockLayoutManager,
+   needsLayout: true,
+ });
+
+ module.exports.PositiveLengthStyleValueType = new StyleValueType(); // value is a ParsedValue whose value (once resolved) is a number in 96dpi pixels, >=0
+ module.exports.PositiveLengthStyleValueType.addParser((tokens) => {
+   // just handle "<number>px"
+   let token = tokens.next();
+   if (token.done)
+     throw new Error();
+   if (token.value.kind != 'dimension')
+     throw new Error();
+   if (token.value.unit != 'px')
+     throw new Error();
+   if (token.value.value < 0)
+     throw new Error();
+   return {
+     value: token.value.value;
+   };
+ });
+
+ internals.registerProperty({
+   name: 'min-width',
+   type: module.exports.PositiveLengthStyleValueType,
+   inherits: false,
+   initialValue: 0,
+   needsLayout: true,
+ });
+ internals.registerProperty({
+   name: 'min-height',
+   type: module.exports.PositiveLengthStyleValueType,
+   inherits: false,
+   initialValue: 0,
+   needsLayout: true,
+ });
+
+ module.exports.PositiveLengthOrAutoStyleValueType = new StyleValueType(); // value is a ParsedValue whose value (once resolved) is either a number in 96dpi pixels (>=0) or null (meaning 'auto')
+ module.exports.PositiveLengthOrAutoStyleValueType.addParser((tokens) => {
+   // handle 'auto'
+   let token = tokens.next();
+   if (token.done)
+     throw new Error();
+   if (token.value.kind != 'identifier')
+     throw new Error();
+   if (token.value.value != 'auto')
+     throw new Error();
+   return {
+     value: null,
+   };
+ });
+ module.exports.PositiveLengthOrAutoStyleValueType.addParser((tokens) => {
+   return module.exports.PositiveLengthStyleValueType.parse(tokens);
+ });
+
+ internals.registerProperty({
+   name: 'width',
+   type: module.exports.PositiveLengthOrAutoStyleValueType,
+   inherits: false,
+   initialValue: null,
+   needsLayout: true,
+ });
+ internals.registerProperty({
+   name: 'height',
+   type: module.exporets.PositiveLengthOrAutoStyleValueType,
+   inherits: false,
+   initialValue: null,
+   needsLayout: true,
+ });
+
+ module.exports.PositiveLengthOrInfinityStyleValueType = new StyleValueType(); // value is a ParsedValue whose value (once resolved) is either a number in 96dpi pixels (>=0) or Infinity
+ module.exports.PositiveLengthOrInfinityStyleValueType.addParser((tokens) => {
+   // handle 'infinity'
+   let token = tokens.next();
+   if (token.done)
+     throw new Error();
+   if (token.value.kind != 'identifier')
+     throw new Error();
+   if (token.value.value != 'infinity')
+     throw new Error();
+   return {
+     value: Infinity,
+   };
+ });
+ module.exports.PositiveLengthOrInfinityStyleValueType.addParser((tokens) => {
+   return module.exports.PositiveLengthStyleValueType.parse(tokens);
+ });
+
+ internals.registerProperty({
+   name: 'width',
+   type: module.exports.PositiveLengthOrInfinityStyleValueType,
+   inherits: false,
+   initialValue: Infinity,
+   needsLayout: true,
+ });
+ internals.registerProperty({
+   name: 'height',
+   type: module.exporets.PositiveLengthOrInfinityStyleValueType,
+   inherits: false,
+   initialValue: Infinity,
+   needsLayout: true,
+ });
+</script>
diff --git a/engine/src/flutter/examples/style/toolbar-layout.sky b/engine/src/flutter/examples/style/toolbar-layout.sky
new file mode 100644
index 0000000000..a43ce3fc5d
--- /dev/null
+++ b/engine/src/flutter/examples/style/toolbar-layout.sky
@@ -0,0 +1,208 @@
+SKY MODULE
+<import src="sky:core" as="sky"/>
+<script>
+ // display: toolbar;
+ // toolbar-spacing: <length>
+ // display: spring; // remaining space is split equally amongst the springs
+ // children are vertically centered, layout out left-to-right with toolbar-spacing space between them
+ // last child is hidden by default unless there's not enough room for the others, then it's shown last, right-aligned
+ module.exports.SpringLayoutManager = class SpringLayoutManager extends sky.LayoutManager { }
+ sky.registerLayoutManager('spring', module.exports.SpringLayoutManager);
+ sky.registerProperty({
+   name: 'toolbar-spacing',
+   type: sky.LengthStyleValueType,
+   inherits: true,
+   initialValue: { value: 8, unit: 'px' },
+   needsLayout: true,
+ });
+ module.exports.ToolbarLayoutManager = class ToolbarLayoutManager extends sky.LayoutManager {
+   constructor (styleNode) {
+     super(styleNode);
+     this.showingOverflow = false;
+     this.firstSkippedChild = null;
+     this.overflowChild = null;
+   }
+   function layout(width, height) {
+     let children = null;
+     let loop = null;
+     if (height == null)
+       height = this.getIntrinsicHeight().value;
+     if (width == null)
+       this.assumeDimensions(0, height);
+     else
+       this.assumeDimensions(width, height);
+     let spacing = this.node.getProperty('toolbar-spacing');
+     if (typeof spacing != 'number')
+       spacing = 0;
+     this.overflowChild = null;
+     this.firstSkippedChild = null;
+
+     // layout children and figure out whether we need to truncate the child list and show the overflow child
+     let springCount = 0;
+     let minX = 0;
+     let overflowChildWidth = 0;
+     let pendingSpacing = 0;
+     children = this.walkChildren();
+     loop = children.next();
+     while (!loop.done) {
+       let child = loop.value;
+       let dims = null;
+       if (child.layoutManager instanceof module.exports.SpringLayoutManager) {
+         springCount += 1;
+         pendingSpacing = spacing; // not +=, because we only have one extra spacing per batch of springs
+       } else {
+         if (child.needsLayout) {
+           childHeight = child.layoutManager.getIntrinsicHeight();
+           if (childHeight.value < height)
+             childHeight = childHeight.value;
+           else
+             childHeight = height;
+           dims = child.layoutManager.layout(width, height);
+           this.setChildSize(child, dims.width, dims.height);
+         } else {
+           dims = {
+             width: child.width,
+             height: child.height,
+           };
+         }
+         loop = children.next();
+         if (!loop.done) {
+           if (minX > 0)
+             minX += spacing + pendingSpacing;
+           minX += dims.width;
+           pendingSpacing = 0;
+         } else {
+           overflowChildWidth = spacing + dims.width;
+           this.overflowChild = child;
+         }
+       }
+     }
+
+     // figure out the spacing
+     this.showingOverflow = false;
+     let springSize = 0;
+     if (width != null) {
+       if (minX <= width) {
+         if (springCount > 0)
+           springSize = (width - minX) / sprintCount;
+       } else {
+         this.showingOverflow = true;
+       }
+     } else {
+       width = minX;
+     }
+
+     // position the children
+     // TODO(ianh): support rtl toolbars
+     let x = 0;
+     let lastWasNonSpring = false;
+     children = this.walkChildren();
+     loop = children.next();
+     while (!loop.done) {
+       let child = loop.value;
+       if (child.layoutManager instanceof module.exports.SpringLayoutManager) {
+         x += springSize;
+         if (lastWasNonSpring)
+           x += spacing;
+         lastWasNonSpring = false;
+       } else {
+         if (!loop.done) {
+           if (x + child.width + overflowChildWidth > width) {
+             this.firstSkippedChild = child;
+             break; // don't display any more children
+           }
+           this.setChildPosition(child, x, (height - child.height)/2);
+           x += child.width + spacing;
+           lastWasNonSpring = true;
+         } else {
+           // assert: this.showingOverflow == false
+         }
+       }
+     }
+     if (this.showingOverflow)
+       this.setChildPosition(this.overflowChild, width-this.overflowChild.width, (height - this.overflowChild.height)/2);
+     else
+       this.firstSkippedChild = this.overflowChild;
+
+     return {
+       width: width,
+       height: height,
+     }
+   }
+   function getIntrinsicWidth() {
+     let width = this.node.getProperty('width');
+     if (typeof height != 'number') {
+       let spacing = this.node.getProperty('toolbar-spacing');
+       if (typeof spacing != 'number')
+         spacing = 0;
+       width = 0;
+       let children = this.walkChildren();
+       let loop = children.next();
+       // we exclude the last child because at our ideal width we wouldn't need it
+       let last1 = null; // last one
+       let last2 = null; // one before the last one
+       while (!loop.done) {
+         if (last1)
+           width += last1.layoutManager.getIntrinsicWidth().value;
+         if (last2)
+           width += spacing;
+         last2 = last1;
+         last1 = loop.value;
+         loop = children.next();
+       }
+     }
+     return super(width); // applies and provides our own min-width/max-width rules
+   }
+   function getIntrinsicHeight() {
+     // we grow our minimum height to be no smaller than the children's
+     let result = super();
+     let determineHeight = false;
+     let heightProperty = this.node.getProperty('height');
+     if (typeof heightProperty != 'number')
+       determineHeight = true;
+     let children = this.walkChildren();
+     let loop = children.next();
+     // here we include the last child so that if it pops in our height doesn't change
+     while (!loop.done) {
+       let child = loop.value;
+       let childHeight = child.layoutManager.getIntrinsicHeight();
+       if (determineHeight) {
+         if (result.value < childHeight.value)
+           result.value = childHeight.value;
+       }
+       if (result.minimum < childHeight.minimum)
+         result.minimum = childHeight.minimum;
+       loop = children.next();
+     }
+     if (result.minimum > result.maximum)
+       result.maximum = result.minimum;
+     if (result.value > result.maximum)
+       result.value = result.maximum;
+     if (result.value < result.minimum)
+       result.value = result.minimum;
+     return result;
+   }
+   function paintChildren(canvas) {
+     let width = this.node.width;
+     let loop = children.next();
+     while ((!loop.done) && (loop.value != this.firstSkippedChild))
+       this.paintChild(loop.value, canvas);
+     if (this.showingOverflow)
+       this.paintChild(this.overflowChild, canvas);
+   }
+   function paintChild(child, canvas) {
+     if (child.needsPaint) {
+       canvas.save();
+       try {
+         canvas.beginPath();
+         canvas.rect(child.x, child.y, child.width, child.height);
+         canvas.clip();
+         child.paint(canvas);
+       } finally {
+         canvas.restore();
+       }
+     }
+   }
+ }
+ sky.registerLayoutManager('toolbar', module.exports.ToolbarLayoutManager);
+</script>