diff --git a/packages/components/src/components/SquiggleChart.tsx b/packages/components/src/components/SquiggleChart.tsx
index cd480e69..f9f2b368 100644
--- a/packages/components/src/components/SquiggleChart.tsx
+++ b/packages/components/src/components/SquiggleChart.tsx
@@ -60,29 +60,30 @@ export interface SquiggleChartProps {
 
 const defaultOnChange = () => {};
 
-export const SquiggleChart: React.FC<SquiggleChartProps> = React.memo(({
-  code = "",
-  environment,
-  onChange = defaultOnChange, // defaultOnChange must be constant, don't move its definition here
-  height = 200,
-  bindings = defaultBindings,
-  jsImports = defaultImports,
-  showSummary = false,
-  width,
-  showTypes = false,
-  showControls = false,
-  logX = false,
-  expY = false,
-  diagramStart = 0,
-  diagramStop = 10,
-  diagramCount = 100,
-  tickFormat,
-  minX,
-  maxX,
-  color,
-  title,
-  distributionChartActions,
-}) => {
+export const SquiggleChart: React.FC<SquiggleChartProps> = React.memo(
+  ({
+    code = "",
+    environment,
+    onChange = defaultOnChange, // defaultOnChange must be constant, don't move its definition here
+    height = 200,
+    bindings = defaultBindings,
+    jsImports = defaultImports,
+    showSummary = false,
+    width,
+    showTypes = false,
+    showControls = false,
+    logX = false,
+    expY = false,
+    diagramStart = 0,
+    diagramStop = 10,
+    diagramCount = 100,
+    tickFormat,
+    minX,
+    maxX,
+    color,
+    title,
+    distributionChartActions,
+  }) => {
     const result = useSquiggle({
       code,
       bindings,
diff --git a/packages/components/src/components/SquigglePlayground.tsx b/packages/components/src/components/SquigglePlayground.tsx
index 301d8892..534be721 100644
--- a/packages/components/src/components/SquigglePlayground.tsx
+++ b/packages/components/src/components/SquigglePlayground.tsx
@@ -18,7 +18,7 @@ import clsx from "clsx";
 
 import { defaultBindings, environment } from "@quri/squiggle-lang";
 
-import { SquiggleChart } from "./SquiggleChart";
+import { SquiggleChart, SquiggleChartProps } from "./SquiggleChart";
 import { CodeEditor } from "./CodeEditor";
 import { JsonEditor } from "./JsonEditor";
 import { ErrorAlert, SuccessAlert } from "./Alert";
@@ -27,28 +27,16 @@ import { Toggle } from "./ui/Toggle";
 import { Checkbox } from "./ui/Checkbox";
 import { StyledTab } from "./ui/StyledTab";
 
-interface PlaygroundProps {
+type PlaygroundProps = SquiggleChartProps & {
   /** The initial squiggle string to put in the playground */
   defaultCode?: string;
   /** How many pixels high is the playground */
-  height?: number;
-  /** Whether to show the types of outputs in the playground */
-  showTypes?: boolean;
-  /** Whether to show the log scale controls in the playground */
-  showControls?: boolean;
-  /** Whether to show the summary table in the playground */
-  showSummary?: boolean;
-  /** Whether to log the x coordinate on distribution charts */
-  logX?: boolean;
-  /** Whether to exp the y coordinate on distribution charts */
-  expY?: boolean;
-  /** If code is set, component becomes controlled */
-  code?: string;
   onCodeChange?(expr: string): void;
+  /* When settings change */
   onSettingsChange?(settings: any): void;
   /** Should we show the editor? */
   showEditor?: boolean;
-}
+};
 
 const schema = yup.object({}).shape({
   sampleCount: yup
@@ -82,6 +70,12 @@ const schema = yup.object({}).shape({
   showEditor: yup.boolean().required(),
   logX: yup.boolean().required(),
   expY: yup.boolean().required(),
+  tickFormat: yup.string().default(".9~s"),
+  title: yup.string(),
+  color: yup.string().default("#739ECC").required(),
+  minX: yup.number(),
+  maxX: yup.number(),
+  distributionChartActions: yup.boolean(),
   showSettingsPage: yup.boolean().default(false),
   diagramStart: yup.number().required().positive().integer().default(0).min(0),
   diagramStop: yup.number().required().positive().integer().default(10).min(0),
@@ -114,7 +108,7 @@ function InputItem<T>({
 }: {
   name: Path<T>;
   label: string;
-  type: "number";
+  type: "number" | "text" | "color";
   register: UseFormRegister<T>;
 }) {
   return (
@@ -122,7 +116,7 @@ function InputItem<T>({
       <div className="text-sm font-medium text-gray-600 mb-1">{label}</div>
       <input
         type={type}
-        {...register(name)}
+        {...register(name, { valueAsNumber: type === "number" })}
         className="form-input max-w-lg block w-full shadow-sm focus:ring-indigo-500 focus:border-indigo-500 sm:max-w-xs sm:text-sm border-gray-300 rounded-md"
       />
     </label>
@@ -202,6 +196,11 @@ const ViewSettings: React.FC<{ register: UseFormRegister<FormFields> }> = ({
             name="expY"
             label="Show y scale exponentially"
           />
+          <Checkbox
+            register={register}
+            name="distributionChartActions"
+            label="Show vega chart controls"
+          />
           <Checkbox
             register={register}
             name="showControls"
@@ -212,6 +211,36 @@ const ViewSettings: React.FC<{ register: UseFormRegister<FormFields> }> = ({
             name="showSummary"
             label="Show summary statistics"
           />
+          <InputItem
+            name="minX"
+            type="number"
+            register={register}
+            label="The minimum of the charted distribution domain"
+          />
+          <InputItem
+            name="maxX"
+            type="number"
+            register={register}
+            label="The maximum of the charted distribution domain"
+          />
+          <InputItem
+            name="title"
+            type="text"
+            register={register}
+            label="The title shown on the distribution"
+          />
+          <InputItem
+            name="tickFormat"
+            type="text"
+            register={register}
+            label="The format that the ticks are rendered"
+          />
+          <InputItem
+            name="color"
+            type="color"
+            register={register}
+            label="The color of the charted distribution"
+          />
         </div>
       </HeadedSection>
     </div>
@@ -385,6 +414,12 @@ export const SquigglePlayground: FC<PlaygroundProps> = ({
   showSummary = false,
   logX = false,
   expY = false,
+  title,
+  minX,
+  maxX,
+  color = "#739ECC",
+  tickFormat = ".9~s",
+  distributionChartActions,
   code: controlledCode,
   onCodeChange,
   onSettingsChange,
@@ -408,6 +443,12 @@ export const SquigglePlayground: FC<PlaygroundProps> = ({
       showControls,
       logX,
       expY,
+      title,
+      minX,
+      maxX,
+      color,
+      tickFormat,
+      distributionChartActions,
       showSummary,
       showEditor,
       leftSizePercent: 50,
@@ -440,15 +481,7 @@ export const SquigglePlayground: FC<PlaygroundProps> = ({
     <SquiggleChart
       code={renderedCode}
       environment={env}
-      diagramStart={Number(vars.diagramStart)}
-      diagramStop={Number(vars.diagramStop)}
-      diagramCount={Number(vars.diagramCount)}
-      height={vars.chartHeight}
-      showTypes={vars.showTypes}
-      showControls={vars.showControls}
-      showSummary={vars.showSummary}
-      logX={vars.logX}
-      expY={vars.expY}
+      {...vars}
       bindings={defaultBindings}
       jsImports={imports}
     />
@@ -496,6 +529,7 @@ export const SquigglePlayground: FC<PlaygroundProps> = ({
 
   const withoutEditor = <div className="mt-3">{tabs}</div>;
 
+  console.log(vars);
   return (
     <SquiggleContainer>
       <StyledTab.Group>
diff --git a/packages/components/src/lib/distributionSpecBuilder.ts b/packages/components/src/lib/distributionSpecBuilder.ts
index b40a973d..4286dbdb 100644
--- a/packages/components/src/lib/distributionSpecBuilder.ts
+++ b/packages/components/src/lib/distributionSpecBuilder.ts
@@ -114,11 +114,11 @@ export function buildVegaSpec(
   } = specOptions;
 
   let xScale = logX ? logXScale : linearXScale;
-  if (minX !== undefined) {
+  if (minX !== undefined && Number.isFinite(minX)) {
     xScale = { ...xScale, domainMin: minX };
   }
 
-  if (maxX !== undefined) {
+  if (maxX !== undefined && Number.isFinite(maxX)) {
     xScale = { ...xScale, domainMax: maxX };
   }
 
diff --git a/packages/components/src/stories/SquiggleChart.stories.mdx b/packages/components/src/stories/SquiggleChart.stories.mdx
index 2483c985..2febfb6f 100644
--- a/packages/components/src/stories/SquiggleChart.stories.mdx
+++ b/packages/components/src/stories/SquiggleChart.stories.mdx
@@ -3,7 +3,7 @@ import { Canvas, Meta, Story, Props } from "@storybook/addon-docs";
 
 <Meta title="Squiggle/SquiggleChart" component={SquiggleChart} />
 
-export const Template = SquiggleChart;
+export const Template = (props) => <SquiggleChart {...props} />;
 /* 
   We have to hardcode a width here, because otherwise some interaction with
   Storybook creates an infinite loop with the internal width