diff --git a/lib/rules.js b/lib/rules.js
index 3fc2962e..c317c2fa 100644
--- a/lib/rules.js
+++ b/lib/rules.js
@@ -53,6 +53,19 @@ function forEachLine(params, callback) {
   });
 }
 
+function forEachHeading(params, callback) {
+  var heading = null;
+  params.tokens.forEach(function forToken(token) {
+    if (token.type === "heading_open") {
+      heading = token;
+    } else if (token.type === "heading_close") {
+      heading = null;
+    } else if ((token.type === "inline") && heading) {
+      callback(heading, token.content);
+    }
+  });
+}
+
 function flattenLists(tokens, filterBy) {
   var lists = [];
   var stack = [];
@@ -273,8 +286,7 @@ module.exports = [
     "func": function MD014(params, errors) {
       filterTokens(params.tokens, "code_block", "fence")
         .forEach(function forToken(token) {
-          if (token.content && token.content
-            .split(shared.newLineRe)
+          if (token.content && token.content.split(shared.newLineRe)
             .filter(function filterLine(line) {
               return line;
             }).every(function forLine(line) {
@@ -392,19 +404,12 @@ module.exports = [
     "name": "MD024",
     "desc": "Multiple headers with the same content",
     "func": function MD024(params, errors) {
-      var content = [];
-      var inHeading = false;
-      params.tokens.forEach(function forToken(token) {
-        if (token.type === "heading_open") {
-          inHeading = true;
-        } else if (token.type === "heading_close") {
-          inHeading = false;
-        } else if ((token.type === "inline") && inHeading) {
-          if (content.indexOf(token.content) === -1) {
-            content.push(token.content);
-          } else {
-            errors.push(token.lineNumber);
-          }
+      var knownContent = [];
+      forEachHeading(params, function forHeading(heading, content) {
+        if (knownContent.indexOf(content) === -1) {
+          knownContent.push(content);
+        } else {
+          errors.push(heading.lineNumber);
         }
       });
     }
@@ -428,6 +433,43 @@ module.exports = [
     }
   },
 
+  {
+    "name": "MD026",
+    "desc": "Trailing punctuation in header",
+    "func": function MD026(params, errors) {
+      var punctuation = params.options.punctuation || ".,;:!?";
+      var re = new RegExp("[" + punctuation + "]$");
+      forEachHeading(params, function forHeading(heading, content) {
+        if (re.test(content)) {
+          errors.push(heading.lineNumber);
+        }
+      });
+    }
+  },
+
+  {
+    "name": "MD027",
+    "desc": "Multiple spaces after blockquote symbol",
+    "func": function MD027(params, errors) {
+      var inBlockquote = false;
+      params.tokens.forEach(function forToken(token) {
+        if (token.type === "blockquote_open") {
+          inBlockquote = true;
+        } else if (token.type === "blockquote_close") {
+          inBlockquote = false;
+        } else if ((token.type === "inline") && inBlockquote) {
+          token.content.split(shared.newLineRe)
+            .forEach(function forLine(line, offset) {
+              if (/^\s/.test(line) ||
+                  (!offset && /^\s*>\s\s/.test(token.line))) {
+                errors.push(token.lineNumber + offset);
+              }
+            });
+        }
+      });
+    }
+  },
+
   {
     "name": "MD028",
     "desc": "Blank line inside blockquote",
diff --git a/test/blockquote_spaces.md b/test/blockquote_spaces.md
new file mode 100644
index 00000000..7492e7d2
--- /dev/null
+++ b/test/blockquote_spaces.md
@@ -0,0 +1,21 @@
+Some text
+
+> Hello world
+>  Foo {MD027}
+>  Bar {MD027}
+
+This tests other things embedded in the blockquote:
+
+> *Hello world*
+>  *foo* {MD027}
+>  **bar** {MD027}
+>   "Baz" {MD027}
+> *foo*
+> **bar**
+> 'baz'
+
+Test the first line being indented too much:
+
+>  Foo {MD027}
+>  Bar {MD027}
+> Baz
\ No newline at end of file
diff --git a/test/header_trailing_punctuation.md b/test/header_trailing_punctuation.md
new file mode 100644
index 00000000..81d4fabf
--- /dev/null
+++ b/test/header_trailing_punctuation.md
@@ -0,0 +1,11 @@
+# Heading 1 {MD026}.
+
+## Heading 2 {MD026},
+
+## Heading 3 {MD026}!
+
+## Heading 4 {MD026}:
+
+## Heading 5 {MD026};
+
+## Heading 6 {MD026}?
\ No newline at end of file
diff --git a/test/header_trailing_punctuation_customized.json b/test/header_trailing_punctuation_customized.json
new file mode 100644
index 00000000..df827f91
--- /dev/null
+++ b/test/header_trailing_punctuation_customized.json
@@ -0,0 +1,6 @@
+{
+  "default": true,
+  "MD026": {
+    "punctuation": ".,;:!"
+  }
+}
diff --git a/test/header_trailing_punctuation_customized.md b/test/header_trailing_punctuation_customized.md
new file mode 100644
index 00000000..e44f5482
--- /dev/null
+++ b/test/header_trailing_punctuation_customized.md
@@ -0,0 +1,14 @@
+# Heading 1 {MD026}.
+
+## Heading 2 {MD026},
+
+## Heading 3 {MD026}!
+
+## Heading 4 {MD026}:
+
+## Heading 5 {MD026};
+
+## Heading 6?
+
+The rule has been customized to allow question marks while disallowing
+everything else.