diff --git a/app/gui2/src/components/GraphNode.vue b/app/gui2/src/components/GraphNode.vue
index 59d703706cf..8df0baeddab 100644
--- a/app/gui2/src/components/GraphNode.vue
+++ b/app/gui2/src/components/GraphNode.vue
@@ -20,6 +20,7 @@ import {
 import { colorFromString } from '@/util/colors'
 import { usePointer, useResizeObserver } from '@/util/events'
 import { methodNameToIcon, typeNameToIcon } from '@/util/getIconName'
+import type { UnsafeMutable } from '@/util/mutable'
 import type { Opt } from '@/util/opt'
 import type { Vec2 } from '@/util/vec2'
 import type { ContentRange, ExprId, VisualizationIdentifier } from 'shared/yjsModel'
@@ -307,9 +308,11 @@ function switchToDefaultPreprocessor() {
   visPreprocessor.value = DEFAULT_VISUALIZATION_CONFIGURATION
 }
 
-const visualizationConfig = ref<VisualizationConfig>({
+// This usage of `UnsafeMutable` is SAFE, as it is being used on a type without an associated value.
+const visualizationConfig = ref<UnsafeMutable<VisualizationConfig>>({
   fullscreen: false,
-  types: visualizationStore.types,
+  // We do not know the type yet.
+  types: visualizationStore.types(undefined),
   width: null,
   height: 150,
   hide() {
@@ -426,6 +429,10 @@ const icon = computed(() => {
     return 'in_out'
   }
 })
+
+watchEffect(() => {
+  visualizationConfig.value.types = visualizationStore.types(expressionInfo.value?.typename)
+})
 </script>
 
 <template>
diff --git a/app/gui2/src/components/VisualizationSelector.vue b/app/gui2/src/components/VisualizationSelector.vue
index 8762c063f64..3c9b6e931b6 100644
--- a/app/gui2/src/components/VisualizationSelector.vue
+++ b/app/gui2/src/components/VisualizationSelector.vue
@@ -3,7 +3,7 @@ import { visIdentifierEquals, type VisualizationIdentifier } from 'shared/yjsMod
 import { onMounted, ref } from 'vue'
 
 const props = defineProps<{
-  types: VisualizationIdentifier[]
+  types: readonly VisualizationIdentifier[]
   modelValue: VisualizationIdentifier
 }>()
 const emit = defineEmits<{ hide: []; 'update:modelValue': [type: VisualizationIdentifier] }>()
diff --git a/app/gui2/src/providers/visualizationConfig.ts b/app/gui2/src/providers/visualizationConfig.ts
index 18964476e6e..5400ca17553 100644
--- a/app/gui2/src/providers/visualizationConfig.ts
+++ b/app/gui2/src/providers/visualizationConfig.ts
@@ -5,7 +5,7 @@ import { inject, provide, type InjectionKey, type Ref } from 'vue'
 export interface VisualizationConfig {
   /** Possible visualization types that can be switched to. */
   background?: string
-  readonly types: VisualizationIdentifier[]
+  readonly types: readonly VisualizationIdentifier[]
   readonly currentType: VisualizationIdentifier
   readonly isCircularMenuVisible: boolean
   readonly nodeSize: Vec2
diff --git a/app/gui2/src/stores/visualization.ts b/app/gui2/src/stores/visualization.ts
index e80b00a4098..e518d2fefd3 100644
--- a/app/gui2/src/stores/visualization.ts
+++ b/app/gui2/src/stores/visualization.ts
@@ -1,3 +1,6 @@
+import * as vue from 'vue'
+import { reactive, ref, type DefineComponent, type PropType } from 'vue'
+
 import VisualizationContainer from '@/components/VisualizationContainer.vue'
 import { useVisualizationConfig } from '@/providers/visualizationConfig'
 import { defineKeybinds } from '@/util/shortcuts'
@@ -18,8 +21,6 @@ import Compiler from '@/workers/visualizationCompiler?worker'
 import { defineStore } from 'pinia'
 import type { VisualizationConfiguration } from 'shared/languageServerTypes'
 import type { VisualizationIdentifier } from 'shared/yjsModel'
-import * as vue from 'vue'
-import { type DefineComponent } from 'vue'
 
 /** A module containing the default visualization function. */
 const DEFAULT_VISUALIZATION_MODULE = 'Standard.Visualization.Preprocessor'
@@ -52,7 +53,7 @@ window.__visualizationModules = moduleCache
 
 export type Visualization = DefineComponent<
   // Props
-  { data: { type: vue.PropType<unknown>; required: true } },
+  { data: { type: PropType<unknown>; required: true } },
   {},
   unknown,
   {},
@@ -89,23 +90,73 @@ const dynamicVisualizationPaths: Record<string, string> = {
 }
 
 export const useVisualizationStore = defineStore('visualization', () => {
-  // TODO [sb]: Figure out how to list visualizations defined by a project.
   const imports = { ...builtinVisualizationImports }
   const paths = { ...dynamicVisualizationPaths }
   let cache: Record<string, VisualizationModule> = {}
-  const builtinTypes = [...Object.keys(imports), ...Object.keys(paths)]
-  const types = builtinTypes.map(
-    (name): VisualizationIdentifier => ({
-      module: { kind: 'Builtin' },
-      name,
-    }),
-  )
   let worker: Worker | undefined
   let workerMessageId = 0
   const workerCallbacks: Record<
     string,
     { resolve: (result: VisualizationModule) => void; reject: () => void }
   > = {}
+  const allVisualizations = [
+    ...Object.keys(imports),
+    ...Object.keys(paths),
+  ].map<VisualizationIdentifier>((name) => ({
+    module: { kind: 'Builtin' },
+    name,
+  }))
+  const visualizationsForType = reactive(new Map<string, readonly VisualizationIdentifier[]>())
+  const visualizationsForAny = ref<readonly VisualizationIdentifier[]>([])
+
+  Promise.all([
+    ...Object.values(builtinVisualizationImports).map((importer) => importer()),
+    ...Object.values(dynamicVisualizationPaths).map(compile),
+  ])
+    .then((modules) =>
+      Object.fromEntries(
+        modules.map((module) => [
+          module.name,
+          new Set(
+            module.inputType == null
+              ? ['Any']
+              : module.inputType.split('|').map((type) => type.trim()),
+          ),
+        ]),
+      ),
+    )
+    .then((moduleInputTypes) => {
+      const types = Object.values(moduleInputTypes).flatMap((set) => Array.from(set))
+      for (const type of types) {
+        if (visualizationsForType.has(type)) {
+          continue
+        }
+        const matchingTypes = Object.entries(moduleInputTypes).flatMap<VisualizationIdentifier>(
+          ([name, inputTypes]) =>
+            inputTypes.has(type) || inputTypes.has('Any')
+              ? [
+                  {
+                    module: { kind: 'Builtin' },
+                    name,
+                  },
+                ]
+              : [],
+        )
+        if (type === 'Any') {
+          visualizationsForAny.value = matchingTypes
+        }
+        visualizationsForType.set(type, matchingTypes)
+      }
+    })
+
+  function types(type: string | undefined) {
+    const ret =
+      type === undefined
+        ? allVisualizations
+        : visualizationsForType.get(type) ?? visualizationsForAny.value
+    console.log(type, ret, allVisualizations, visualizationsForType, visualizationsForAny)
+    return ret
+  }
 
   function register(module: VisualizationModule) {
     console.log(`registering visualization: name=${module.name}, inputType=${module.inputType}`)
diff --git a/app/gui2/src/util/mutable.ts b/app/gui2/src/util/mutable.ts
new file mode 100644
index 00000000000..16c711140a3
--- /dev/null
+++ b/app/gui2/src/util/mutable.ts
@@ -0,0 +1,2 @@
+/** Removes `readonly` from all keys in a type. UNSAFE. */
+export type UnsafeMutable<T> = { -readonly [K in keyof T]: T[K] }