diff --git a/lib/matplotlib/_mathtext.py b/lib/matplotlib/_mathtext.py
index ae230703faed..22e587e89e0f 100644
--- a/lib/matplotlib/_mathtext.py
+++ b/lib/matplotlib/_mathtext.py
@@ -470,60 +470,40 @@ def _get_glyph(self, fontname: str, font_class: str,
         else:
             return self._stix_fallback._get_glyph(fontname, font_class, sym)
 
-    # The Bakoma fonts contain many pre-sized alternatives for the
-    # delimiters.  The AutoSizedChar class will use these alternatives
-    # and select the best (closest sized) glyph.
+    # The Bakoma fonts contain many pre-sized alternatives for the delimiters. The
+    # Auto(Height|Width)Char classes will use these alternatives and select the best
+    # (closest sized) glyph.
+    _latex_sizes = ('big', 'Big', 'bigg', 'Bigg')
     _size_alternatives = {
-        '(':           [('rm', '('), ('ex', '\xa1'), ('ex', '\xb3'),
-                        ('ex', '\xb5'), ('ex', '\xc3')],
-        ')':           [('rm', ')'), ('ex', '\xa2'), ('ex', '\xb4'),
-                        ('ex', '\xb6'), ('ex', '\x21')],
-        '{':           [('cal', '{'), ('ex', '\xa9'), ('ex', '\x6e'),
-                        ('ex', '\xbd'), ('ex', '\x28')],
-        '}':           [('cal', '}'), ('ex', '\xaa'), ('ex', '\x6f'),
-                        ('ex', '\xbe'), ('ex', '\x29')],
-        # The fourth size of '[' is mysteriously missing from the BaKoMa
-        # font, so I've omitted it for both '[' and ']'
-        '[':           [('rm', '['), ('ex', '\xa3'), ('ex', '\x68'),
-                        ('ex', '\x22')],
-        ']':           [('rm', ']'), ('ex', '\xa4'), ('ex', '\x69'),
-                        ('ex', '\x23')],
-        r'\lfloor':    [('ex', '\xa5'), ('ex', '\x6a'),
-                        ('ex', '\xb9'), ('ex', '\x24')],
-        r'\rfloor':    [('ex', '\xa6'), ('ex', '\x6b'),
-                        ('ex', '\xba'), ('ex', '\x25')],
-        r'\lceil':     [('ex', '\xa7'), ('ex', '\x6c'),
-                        ('ex', '\xbb'), ('ex', '\x26')],
-        r'\rceil':     [('ex', '\xa8'), ('ex', '\x6d'),
-                        ('ex', '\xbc'), ('ex', '\x27')],
-        r'\langle':    [('ex', '\xad'), ('ex', '\x44'),
-                        ('ex', '\xbf'), ('ex', '\x2a')],
-        r'\rangle':    [('ex', '\xae'), ('ex', '\x45'),
-                        ('ex', '\xc0'), ('ex', '\x2b')],
-        r'\__sqrt__':  [('ex', '\x70'), ('ex', '\x71'),
-                        ('ex', '\x72'), ('ex', '\x73')],
-        r'\backslash': [('ex', '\xb2'), ('ex', '\x2f'),
-                        ('ex', '\xc2'), ('ex', '\x2d')],
-        r'/':          [('rm', '/'), ('ex', '\xb1'), ('ex', '\x2e'),
-                        ('ex', '\xcb'), ('ex', '\x2c')],
-        r'\widehat':   [('rm', '\x5e'), ('ex', '\x62'), ('ex', '\x63'),
-                        ('ex', '\x64')],
-        r'\widetilde': [('rm', '\x7e'), ('ex', '\x65'), ('ex', '\x66'),
-                        ('ex', '\x67')],
-        r'<':          [('cal', 'h'), ('ex', 'D')],
-        r'>':          [('cal', 'i'), ('ex', 'E')]
-        }
+        '(': [('rm', '('), *[('ex', fr'\__parenleft{s}__') for s in _latex_sizes]],
+        ')': [('rm', ')'), *[('ex', fr'\__parenright{s}__') for s in _latex_sizes]],
+        '{': [('ex', fr'\__braceleft{s}__') for s in _latex_sizes],
+        '}': [('ex', fr'\__braceright{s}__') for s in _latex_sizes],
+        '[': [('rm', '['), *[('ex', fr'\__bracketleft{s}__') for s in _latex_sizes]],
+        ']': [('rm', ']'), *[('ex', fr'\__bracketright{s}__') for s in _latex_sizes]],
+        '<': [('cal', r'\__angbracketleft__'),
+              *[('ex', fr'\__angbracketleft{s}__') for s in _latex_sizes]],
+        '>': [('cal', r'\__angbracketright__'),
+              *[('ex', fr'\__angbracketright{s}__') for s in _latex_sizes]],
+        r'\lfloor': [('ex', fr'\__floorleft{s}__') for s in _latex_sizes],
+        r'\rfloor': [('ex', fr'\__floorright{s}__') for s in _latex_sizes],
+        r'\lceil': [('ex', fr'\__ceilingleft{s}__') for s in _latex_sizes],
+        r'\rceil': [('ex', fr'\__ceilingright{s}__') for s in _latex_sizes],
+        r'\__sqrt__': [('ex', fr'\__radical{s}__') for s in _latex_sizes],
+        r'\backslash': [('ex', fr'\__backslash{s}__') for s in _latex_sizes],
+        r'/': [('rm', '/'), *[('ex', fr'\__slash{s}__') for s in _latex_sizes]],
+        r'\widehat': [('rm', '\x5e'), ('ex', r'\__hatwide__'), ('ex', r'\__hatwider__'),
+                      ('ex', r'\__hatwidest__')],
+        r'\widetilde': [('rm', '\x7e'), ('ex', r'\__tildewide__'),
+                        ('ex', r'\__tildewider__'), ('ex', r'\__tildewidest__')],
+    }
 
-    for alias, target in [(r'\leftparen', '('),
-                          (r'\rightparen', ')'),
-                          (r'\leftbrace', '{'),
-                          (r'\rightbrace', '}'),
-                          (r'\leftbracket', '['),
-                          (r'\rightbracket', ']'),
-                          (r'\{', '{'),
-                          (r'\}', '}'),
-                          (r'\[', '['),
-                          (r'\]', ']')]:
+    for alias, target in [(r'\leftparen', '('), (r'\rightparen', ')'),
+                          (r'\leftbrace', '{'), (r'\rightbrace', '}'),
+                          (r'\leftbracket', '['), (r'\rightbracket', ']'),
+                          (r'\langle', '<'), (r'\rangle', '>'),
+                          (r'\{', '{'), (r'\}', '}'),
+                          (r'\[', '['), (r'\]', ']')]:
         _size_alternatives[alias] = _size_alternatives[target]
 
     def get_sized_alternatives_for_symbol(self, fontname: str,
@@ -1524,7 +1504,7 @@ class AutoHeightChar(Hlist):
     """
 
     def __init__(self, c: str, height: float, depth: float, state: ParserState,
-                 always: bool = False, factor: float | None = None):
+                 factor: float | None = None):
         alternatives = state.fontset.get_sized_alternatives_for_symbol(
             state.font, c)
 
@@ -1563,7 +1543,7 @@ class AutoWidthChar(Hlist):
     always just return a scaled version of the glyph.
     """
 
-    def __init__(self, c: str, width: float, state: ParserState, always: bool = False,
+    def __init__(self, c: str, width: float, state: ParserState,
                  char_class: type[Char] = Char):
         alternatives = state.fontset.get_sized_alternatives_for_symbol(
             state.font, c)
@@ -2712,7 +2692,7 @@ def sqrt(self, toks: ParseResults) -> T.Any:
         # the height so it doesn't seem cramped
         height = body.height - body.shift_amount + thickness * 5.0
         depth = body.depth + body.shift_amount
-        check = AutoHeightChar(r'\__sqrt__', height, depth, state, always=True)
+        check = AutoHeightChar(r'\__sqrt__', height, depth, state)
         height = check.height - check.shift_amount
         depth = check.depth + check.shift_amount
 
diff --git a/lib/matplotlib/_mathtext_data.py b/lib/matplotlib/_mathtext_data.py
index 5819ee743044..2174d8761307 100644
--- a/lib/matplotlib/_mathtext_data.py
+++ b/lib/matplotlib/_mathtext_data.py
@@ -33,6 +33,75 @@
     '{'                          : ('cmex10', 0xa9),
     '}'                          : ('cmex10', 0xaa),
 
+    '\\__angbracketleft__'       : ('cmsy10', 0x68),
+    '\\__angbracketright__'      : ('cmsy10', 0x69),
+    '\\__angbracketleftbig__'    : ('cmex10', 0xad),
+    '\\__angbracketleftBig__'    : ('cmex10', 0x44),
+    '\\__angbracketleftbigg__'   : ('cmex10', 0xbf),
+    '\\__angbracketleftBigg__'   : ('cmex10', 0x2a),
+    '\\__angbracketrightbig__'   : ('cmex10', 0xae),
+    '\\__angbracketrightBig__'   : ('cmex10', 0x45),
+    '\\__angbracketrightbigg__'  : ('cmex10', 0xc0),
+    '\\__angbracketrightBigg__'  : ('cmex10', 0x2b),
+    '\\__backslashbig__'         : ('cmex10', 0xb2),
+    '\\__backslashBig__'         : ('cmex10', 0x2f),
+    '\\__backslashbigg__'        : ('cmex10', 0xc2),
+    '\\__backslashBigg__'        : ('cmex10', 0x2d),
+    '\\__braceleftbig__'         : ('cmex10', 0xa9),
+    '\\__braceleftBig__'         : ('cmex10', 0x6e),
+    '\\__braceleftbigg__'        : ('cmex10', 0xbd),
+    '\\__braceleftBigg__'        : ('cmex10', 0x28),
+    '\\__bracerightbig__'        : ('cmex10', 0xaa),
+    '\\__bracerightBig__'        : ('cmex10', 0x6f),
+    '\\__bracerightbigg__'       : ('cmex10', 0xbe),
+    '\\__bracerightBigg__'       : ('cmex10', 0x29),
+    '\\__bracketleftbig__'       : ('cmex10', 0xa3),
+    '\\__bracketleftBig__'       : ('cmex10', 0x68),
+    '\\__bracketleftbigg__'      : ('cmex10', 0x2219),
+    '\\__bracketleftBigg__'      : ('cmex10', 0x22),
+    '\\__bracketrightbig__'      : ('cmex10', 0xa4),
+    '\\__bracketrightBig__'      : ('cmex10', 0x69),
+    '\\__bracketrightbigg__'     : ('cmex10', 0xb8),
+    '\\__bracketrightBigg__'     : ('cmex10', 0x23),
+    '\\__ceilingleftbig__'       : ('cmex10', 0xa7),
+    '\\__ceilingleftBig__'       : ('cmex10', 0x6c),
+    '\\__ceilingleftbigg__'      : ('cmex10', 0xbb),
+    '\\__ceilingleftBigg__'      : ('cmex10', 0x26),
+    '\\__ceilingrightbig__'      : ('cmex10', 0xa8),
+    '\\__ceilingrightBig__'      : ('cmex10', 0x6d),
+    '\\__ceilingrightbigg__'     : ('cmex10', 0xbc),
+    '\\__ceilingrightBigg__'     : ('cmex10', 0x27),
+    '\\__floorleftbig__'         : ('cmex10', 0xa5),
+    '\\__floorleftBig__'         : ('cmex10', 0x6a),
+    '\\__floorleftbigg__'        : ('cmex10', 0xb9),
+    '\\__floorleftBigg__'        : ('cmex10', 0x24),
+    '\\__floorrightbig__'        : ('cmex10', 0xa6),
+    '\\__floorrightBig__'        : ('cmex10', 0x6b),
+    '\\__floorrightbigg__'       : ('cmex10', 0xba),
+    '\\__floorrightBigg__'       : ('cmex10', 0x25),
+    '\\__hatwide__'              : ('cmex10', 0x62),
+    '\\__hatwider__'             : ('cmex10', 0x63),
+    '\\__hatwidest__'            : ('cmex10', 0x64),
+    '\\__parenleftbig__'         : ('cmex10', 0xa1),
+    '\\__parenleftBig__'         : ('cmex10', 0xb3),
+    '\\__parenleftbigg__'        : ('cmex10', 0xb5),
+    '\\__parenleftBigg__'        : ('cmex10', 0xc3),
+    '\\__parenrightbig__'        : ('cmex10', 0xa2),
+    '\\__parenrightBig__'        : ('cmex10', 0xb4),
+    '\\__parenrightbigg__'       : ('cmex10', 0xb6),
+    '\\__parenrightBigg__'       : ('cmex10', 0x21),
+    '\\__radicalbig__'           : ('cmex10', 0x70),
+    '\\__radicalBig__'           : ('cmex10', 0x71),
+    '\\__radicalbigg__'          : ('cmex10', 0x72),
+    '\\__radicalBigg__'          : ('cmex10', 0x73),
+    '\\__slashbig__'             : ('cmex10', 0xb1),
+    '\\__slashBig__'             : ('cmex10', 0x2e),
+    '\\__slashbigg__'            : ('cmex10', 0xc1),
+    '\\__slashBigg__'            : ('cmex10', 0x2c),
+    '\\__tildewide__'            : ('cmex10', 0x65),
+    '\\__tildewider__'           : ('cmex10', 0x66),
+    '\\__tildewidest__'          : ('cmex10', 0x67),
+
     ','                          : ('cmmi10', 0x3b),
     '.'                          : ('cmmi10', 0x3a),
     '/'                          : ('cmmi10', 0x3d),
@@ -1109,6 +1178,8 @@
     '|'                      : 0x2016,
     '}'                      : 0x7d,
 }
+tex2uni['__angbracketleft__'] = tex2uni['langle']
+tex2uni['__angbracketright__'] = tex2uni['rangle']
 
 # Each element is a 4-tuple of the form:
 #   src_start, src_end, dst_font, dst_start
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.pdf b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.pdf
index 4de2c2cff9cc..aa24d432e572 100644
Binary files a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.pdf and b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.pdf differ
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.png b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.png
index 9bc3c8a86083..eccbdafc5d30 100644
Binary files a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.png and b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.png differ
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.svg
index 3972399557bd..882330693a4d 100644
--- a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.svg
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_37.svg
@@ -1,12 +1,23 @@
 <?xml version="1.0" encoding="utf-8" standalone="no"?>
 <!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
   "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
-<!-- Created with matplotlib (http://matplotlib.org/) -->
-<svg height="54pt" version="1.1" viewBox="0 0 378 54" width="378pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="378pt" height="54pt" viewBox="0 0 378 54" xmlns="http://www.w3.org/2000/svg" version="1.1">
+ <metadata>
+  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
+   <cc:Work>
+    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
+    <dc:date>2025-04-17T07:12:28.193802</dc:date>
+    <dc:format>image/svg+xml</dc:format>
+    <dc:creator>
+     <cc:Agent>
+      <dc:title>Matplotlib v3.11.0.dev685+gf017a0e547.d20250417, https://matplotlib.org/</dc:title>
+     </cc:Agent>
+    </dc:creator>
+   </cc:Work>
+  </rdf:RDF>
+ </metadata>
  <defs>
-  <style type="text/css">
-*{stroke-linecap:butt;stroke-linejoin:round;}
-  </style>
+  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
  </defs>
  <g id="figure_1">
   <g id="patch_1">
@@ -15,794 +26,826 @@ L 378 54
 L 378 0 
 L 0 0 
 z
-" style="fill:#ffffff;"/>
+" style="fill: #ffffff"/>
   </g>
   <g id="text_1">
    <!-- $W^{3\beta}_{\delta_1 \rho_1 \sigma_2} = U^{3\beta}_{\delta_1 \rho_1} + \frac{1}{8 \pi 2} \int^{\alpha_2}_{\alpha_2} d \alpha^\prime_2 \left[\frac{ U^{2\beta}_{\delta_1 \rho_1} - \alpha^\prime_2U^{1\beta}_{\rho_1 \sigma_2} }{U^{0\beta}_{\rho_1 \sigma_2}}\right]$ -->
-   <defs>
-    <path d="M 0.875 -295.90625 
-L 0.875 -289.40625 
-L 24.421875 -289.40625 
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-L 0.875 4 
-L 30.90625 4 
-L 30.90625 -295.90625 
-z
-" id="Cmex10-23"/>
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diff --git a/lib/matplotlib/tests/test_mathtext.py b/lib/matplotlib/tests/test_mathtext.py
index 9c0f8ee70c1f..14c724e62960 100644
--- a/lib/matplotlib/tests/test_mathtext.py
+++ b/lib/matplotlib/tests/test_mathtext.py
@@ -123,7 +123,16 @@
     r'$,$ $.$ $1{,}234{, }567{ , }890$ and $1,234,567,890$',  # github issue 5799
     r'$\left(X\right)_{a}^{b}$',  # github issue 7615
     r'$\dfrac{\$100.00}{y}$',  # github issue #1888
-    r'$a=-b-c$'  # github issue #28180
+    r'$a=-b-c$',  # github issue #28180
+    # Check all AutoHeightChar substitutions.
+    *[
+        r'$\left' + lc + r' M \middle/ ? \middle\backslash ? \right' + rc + ' ' +  # Normal size.
+        r'\left' + lc + r' \frac{M}{B} \middle/ ? \middle\backslash ? \right' + rc + ' ' +  # big size.
+        r'\left' + lc + r' \frac{\frac{M}{I}}{B} \middle/ ? \middle\backslash ? \right' + rc + ' ' +  # bigg size.
+        r'\left' + lc + r' \frac{\frac{M}{I}}{\frac{B}{U}} \middle/ ? \middle\backslash ? \right' + rc + ' ' +  # Big size.
+        r'\left' + lc + r'\frac{\frac{\frac{M}{I}}{N}}{\frac{\frac{B}{U}}{G}} \middle/ ? \middle\backslash ? \right' + rc + '$'  # Bigg size.
+        for lc, rc in ['()', '[]', '<>', (r'\{', r'\}'), (r'\lfloor', r'\rfloor'), (r'\lceil', r'\rceil')]
+    ],
 ]
 # 'svgastext' tests switch svg output to embed text as text (rather than as
 # paths).