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Spiel Mal Mathe

collatz-collection

A collection of games and interactive statistics about the Collatz conjecture.

Our topic: The Collatz conjecture

1. Procedure

Start with a number n ∊ ℕ

  • If n is even → n becomes n / 2.
  • If n is odd → n becomes 3n + 1.
  • Repeat

2. Examples

8 → 4 → 2 → 1 → 4 → ...

5 → 16 → 8 → 4 → 2 → 1 → 4 → ...

3. Conclusion

Any number sequence of a starting number n ∊ ℕ (Collatz sequence) ends in the following scheme 4 → 2 → 1 → 4 → ...

4. Problem

1.3 has not been proven.

5. Collatz-Steps

The length of the Collatz sequence is the number of steps required to get to the value 1.

mathe-musik

A presentation on how Maths relates to Music.

Technical information

These sites are built using completely static HTML, CSS and JS, as well as some C++ that is compiled to WebAssembly for performance. We don't use warehouses of Node packages, instead we use KaTeX for math rendering, Chart.js for plotting charts, and reveal.js for presentations. The build, of course, requires more dependencies.

Dependencies

For a full rebuild of collatz-collection you will need the following software:

and the following fonts:

On a Debian-based system, run these commands:

apt install -y make python3 curl inkscape imagemagick graphviz qrencode clang lld-12 nodejs npm fonts-inter

curl -Lo /usr/share/fonts/truetype/Manjari.ttf 'https://github.com/google/fonts/raw/main/ofl/manjari/Manjari-Regular.ttf'

Even though installing deno without the 'install.sh' is recommended, running this command is fast and easy and gets you deno installed.

curl -fsSL https://deno.land/x/install/install.sh | export DENO_INSTALL=/usr/local sh

Building

  1. Delete the previous build: make clean
  2. Build: make -j$(nproc) all
  3. Optionally test and benchmark: make test benchmark

About

All work we did for our P-Seminar ("Spiel Mal Mathe") at GymPeg.

amplus2.github.io/PSem/

Resources

Readme
AGPL-3.0 license
Activity
Custom properties

Stars

0 stars

Watchers

1 watching

Forks

0 forks
Report repository

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Packages

Contributors

Languages

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Add copy buttons to all 
 blocks\n(function() {\n function addCopyButtons() {\n document.querySelectorAll('pre code').forEach(function(codeBlock) {\n if (codeBlock.parentElement.hasAttribute('data-copy-added')) return;\n codeBlock.parentElement.setAttribute('data-copy-added', 'true');\n \n var btn = document.createElement('button');\n btn.textContent = 'Copy';\n btn.style.cssText = 'position:absolute;top:4px;right:4px;padding:2px 8px;font-size:11px;background:#4ecdc4;border:none;border-radius:4px;color:#1a1a2e;cursor:pointer;opacity:0.7;transition:opacity 0.2s;';\n btn.onmouseover = function() { this.style.opacity = '1'; };\n btn.onmouseout = function() { this.style.opacity = '0.7'; };\n btn.onclick = function() {\n navigator.clipboard.writeText(codeBlock.textContent).then(function() {\n btn.textContent = 'Copied!';\n setTimeout(function() { btn.textContent = 'Copy'; }, 1500);\n });\n };\n codeBlock.parentElement.style.position = 'relative';\n codeBlock.parentElement.appendChild(btn);\n });\n }\n \n addCopyButtons();\n \n // Re-run on dynamic content\n var observer = new MutationObserver(addCopyButtons);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Add Copy Buttons to Code Blocks");
}
} catch(__e) { console.warn('[Userscript:Add Copy Buttons to Code Blocks]', __e); }
})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '

Skip to content
BranchesTags
Repository files navigation
Spiel Mal Mathe
collatz-collection
A collection of games and interactive statistics about the Collatz conjecture.
Our topic: The Collatz conjecture
1. Procedure
Start with a number n ∊ ℕ
  • If n is even → n becomes n / 2.
  • If n is odd → n becomes 3n + 1.
  • Repeat
2. Examples
8 → 4 → 2 → 1 → 4 → ...
5 → 16 → 8 → 4 → 2 → 1 → 4 → ...
3. Conclusion
Any number sequence of a starting number n ∊ ℕ (Collatz sequence)
ends in the following scheme 4 → 2 → 1 → 4 → ...
4. Problem
1.3 has not been proven.
5. Collatz-Steps
The length of the Collatz sequence is the number of steps required
to get to the value 1.
mathe-musik
A presentation on how Maths relates to Music.
Technical information
These sites are built using completely static HTML, CSS and JS, as well as some
C++ that is compiled to WebAssembly for performance. We don't use warehouses of
Node packages, instead we use KaTeX for math rendering, Chart.js for plotting
charts, and reveal.js for presentations. The build, of course, requires more
dependencies.
Dependencies
For a full rebuild of collatz-collection you will need the following software:
and the following fonts:
On a Debian-based system, run these commands:
apt install -y make python3 curl inkscape imagemagick graphviz qrencode clang lld-12 nodejs npm fonts-inter

curl -Lo /usr/share/fonts/truetype/Manjari.ttf 'https://github.com/google/fonts/raw/main/ofl/manjari/Manjari-Regular.ttf'

Even though installing deno without the 'install.sh' is recommended, running this command is fast and easy and gets you deno installed.
curl -fsSL https://deno.land/x/install/install.sh | export DENO_INSTALL=/usr/local sh

Building
  1. Delete the previous build: make clean
  2. Build: make -j$(nproc) all
  3. Optionally test and benchmark: make test benchmark
About
All work we did for our P-Seminar ("Spiel Mal Mathe") at GymPeg.
amplus2.github.io/PSem/
Resources
Readme
AGPL-3.0 license
Activity
Custom properties
Stars
0 stars
Watchers
1 watching
Forks
0 forks
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Force GitHub README to respect dark mode\n(function() {\n var style = document.createElement('style');\n style.textContent = '\n .markdown-body {\n color-scheme: dark light;\n }\n .markdown-body pre { background: #161b22 !important; }\n .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }\n .markdown-body table th, .markdown-body table td { border-color: #30363d !important; }\n .markdown-body img { background: #0d1117; }\n .markdown-body blockquote { border-left-color: #8b949e; }\n .markdown-body hr { border-color: #30363d; }\n ';\n document.head.appendChild(style);\n})();", "GitHub Dark Mode README Fix");
}
} catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Spiel Mal Mathe
collatz-collection
A collection of games and interactive statistics about the Collatz conjecture.
Our topic: The Collatz conjecture
1. Procedure
Start with a number n ∊ ℕ
  • If n is even → n becomes n / 2.
  • If n is odd → n becomes 3n + 1.
  • Repeat
2. Examples
8 → 4 → 2 → 1 → 4 → ...
5 → 16 → 8 → 4 → 2 → 1 → 4 → ...
3. Conclusion
Any number sequence of a starting number n ∊ ℕ (Collatz sequence)
ends in the following scheme 4 → 2 → 1 → 4 → ...
4. Problem
1.3 has not been proven.
5. Collatz-Steps
The length of the Collatz sequence is the number of steps required
to get to the value 1.
mathe-musik
A presentation on how Maths relates to Music.
Technical information
These sites are built using completely static HTML, CSS and JS, as well as some
C++ that is compiled to WebAssembly for performance. We don't use warehouses of
Node packages, instead we use KaTeX for math rendering, Chart.js for plotting
charts, and reveal.js for presentations. The build, of course, requires more
dependencies.
Dependencies
For a full rebuild of collatz-collection you will need the following software:
and the following fonts:
On a Debian-based system, run these commands:
apt install -y make python3 curl inkscape imagemagick graphviz qrencode clang lld-12 nodejs npm fonts-inter

curl -Lo /usr/share/fonts/truetype/Manjari.ttf 'https://github.com/google/fonts/raw/main/ofl/manjari/Manjari-Regular.ttf'

Even though installing deno without the 'install.sh' is recommended, running this command is fast and easy and gets you deno installed.
curl -fsSL https://deno.land/x/install/install.sh | export DENO_INSTALL=/usr/local sh

Building
  1. Delete the previous build: make clean
  2. Build: make -j$(nproc) all
  3. Optionally test and benchmark: make test benchmark
About
All work we did for our P-Seminar ("Spiel Mal Mathe") at GymPeg.
amplus2.github.io/PSem/
Resources
Readme
AGPL-3.0 license
Activity
Custom properties
Stars
0 stars
Watchers
1 watching
Forks
0 forks
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Highlight search terms from Google/DuckDuckGo/Bing referrer\n(function() {\n var ref = document.referrer;\n var terms = [];\n \n if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {\n var url = new URL(ref);\n var q = url.searchParams.get('q') || url.searchParams.get('p');\n if (q) {\n terms = q.split(/\\s+/).filter(function(t) { return t.length > 2; });\n }\n }\n \n if (terms.length === 0) return;\n \n var style = document.createElement('style');\n style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';\n document.head.appendChild(style);\n \n function highlight(node) {\n if (node.nodeType === 3) { // text node\n var text = node.textContent;\n var found = false;\n terms.forEach(function(term) {\n var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\\]\\\\]/g, '\\\\') + ')', 'gi');\n if (regex.test(text)) {\n found = true;\n var frag = document.createDocumentFragment();\n var parts = text.split(regex);\n parts.forEach(function(part, i) {\n if (i % 2 === 0) {\n frag.appendChild(document.createTextNode(part));\n } else {\n var span = document.createElement('span');\n span.className = 'userscript-highlight';\n span.textContent = part;\n frag.appendChild(span);\n }\n });\n node.parentNode.replaceChild(frag, node);\n }\n });\n } else if (node.nodeType === 1 && node.childNodes) { // element\n var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];\n if (!skipTags.includes(node.tagName)) {\n Array.from(node.childNodes).forEach(highlight);\n }\n }\n }\n \n highlight(document.body);\n \n // Re-highlight on dynamic content\n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1 || node.nodeType === 3) highlight(node);\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Highlight Search Terms");
}
} catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Spiel Mal Mathe
collatz-collection
A collection of games and interactive statistics about the Collatz conjecture.
Our topic: The Collatz conjecture
1. Procedure
Start with a number n ∊ ℕ
  • If n is even → n becomes n / 2.
  • If n is odd → n becomes 3n + 1.
  • Repeat
2. Examples
8 → 4 → 2 → 1 → 4 → ...
5 → 16 → 8 → 4 → 2 → 1 → 4 → ...
3. Conclusion
Any number sequence of a starting number n ∊ ℕ (Collatz sequence)
ends in the following scheme 4 → 2 → 1 → 4 → ...
4. Problem
1.3 has not been proven.
5. Collatz-Steps
The length of the Collatz sequence is the number of steps required
to get to the value 1.
mathe-musik
A presentation on how Maths relates to Music.
Technical information
These sites are built using completely static HTML, CSS and JS, as well as some
C++ that is compiled to WebAssembly for performance. We don't use warehouses of
Node packages, instead we use KaTeX for math rendering, Chart.js for plotting
charts, and reveal.js for presentations. The build, of course, requires more
dependencies.
Dependencies
For a full rebuild of collatz-collection you will need the following software:
and the following fonts:
On a Debian-based system, run these commands:
apt install -y make python3 curl inkscape imagemagick graphviz qrencode clang lld-12 nodejs npm fonts-inter

curl -Lo /usr/share/fonts/truetype/Manjari.ttf 'https://github.com/google/fonts/raw/main/ofl/manjari/Manjari-Regular.ttf'

Even though installing deno without the 'install.sh' is recommended, running this command is fast and easy and gets you deno installed.
curl -fsSL https://deno.land/x/install/install.sh | export DENO_INSTALL=/usr/local sh

Building
  1. Delete the previous build: make clean
  2. Build: make -j$(nproc) all
  3. Optionally test and benchmark: make test benchmark
About
All work we did for our P-Seminar ("Spiel Mal Mathe") at GymPeg.
amplus2.github.io/PSem/
Resources
Readme
AGPL-3.0 license
Activity
Custom properties
Stars
0 stars
Watchers
1 watching
Forks
0 forks
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links");
}
} catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); }
})();
(function(){
try {
var __m = "youtube.com";
var __re = new RegExp('^' + "youtube\\.com" + '

Skip to content
BranchesTags
Repository files navigation
Spiel Mal Mathe
collatz-collection
A collection of games and interactive statistics about the Collatz conjecture.
Our topic: The Collatz conjecture
1. Procedure
Start with a number n ∊ ℕ
  • If n is even → n becomes n / 2.
  • If n is odd → n becomes 3n + 1.
  • Repeat
2. Examples
8 → 4 → 2 → 1 → 4 → ...
5 → 16 → 8 → 4 → 2 → 1 → 4 → ...
3. Conclusion
Any number sequence of a starting number n ∊ ℕ (Collatz sequence)
ends in the following scheme 4 → 2 → 1 → 4 → ...
4. Problem
1.3 has not been proven.
5. Collatz-Steps
The length of the Collatz sequence is the number of steps required
to get to the value 1.
mathe-musik
A presentation on how Maths relates to Music.
Technical information
These sites are built using completely static HTML, CSS and JS, as well as some
C++ that is compiled to WebAssembly for performance. We don't use warehouses of
Node packages, instead we use KaTeX for math rendering, Chart.js for plotting
charts, and reveal.js for presentations. The build, of course, requires more
dependencies.
Dependencies
For a full rebuild of collatz-collection you will need the following software:
and the following fonts:
On a Debian-based system, run these commands:
apt install -y make python3 curl inkscape imagemagick graphviz qrencode clang lld-12 nodejs npm fonts-inter

curl -Lo /usr/share/fonts/truetype/Manjari.ttf 'https://github.com/google/fonts/raw/main/ofl/manjari/Manjari-Regular.ttf'

Even though installing deno without the 'install.sh' is recommended, running this command is fast and easy and gets you deno installed.
curl -fsSL https://deno.land/x/install/install.sh | export DENO_INSTALL=/usr/local sh

Building
  1. Delete the previous build: make clean
  2. Build: make -j$(nproc) all
  3. Optionally test and benchmark: make test benchmark
About
All work we did for our P-Seminar ("Spiel Mal Mathe") at GymPeg.
amplus2.github.io/PSem/
Resources
Readme
AGPL-3.0 license
Activity
Custom properties
Stars
0 stars
Watchers
1 watching
Forks
0 forks
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default");
}
} catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Spiel Mal Mathe
collatz-collection
A collection of games and interactive statistics about the Collatz conjecture.
Our topic: The Collatz conjecture
1. Procedure
Start with a number n ∊ ℕ
  • If n is even → n becomes n / 2.
  • If n is odd → n becomes 3n + 1.
  • Repeat
2. Examples
8 → 4 → 2 → 1 → 4 → ...
5 → 16 → 8 → 4 → 2 → 1 → 4 → ...
3. Conclusion
Any number sequence of a starting number n ∊ ℕ (Collatz sequence)
ends in the following scheme 4 → 2 → 1 → 4 → ...
4. Problem
1.3 has not been proven.
5. Collatz-Steps
The length of the Collatz sequence is the number of steps required
to get to the value 1.
mathe-musik
A presentation on how Maths relates to Music.
Technical information
These sites are built using completely static HTML, CSS and JS, as well as some
C++ that is compiled to WebAssembly for performance. We don't use warehouses of
Node packages, instead we use KaTeX for math rendering, Chart.js for plotting
charts, and reveal.js for presentations. The build, of course, requires more
dependencies.
Dependencies
For a full rebuild of collatz-collection you will need the following software:
and the following fonts:
On a Debian-based system, run these commands:
apt install -y make python3 curl inkscape imagemagick graphviz qrencode clang lld-12 nodejs npm fonts-inter

curl -Lo /usr/share/fonts/truetype/Manjari.ttf 'https://github.com/google/fonts/raw/main/ofl/manjari/Manjari-Regular.ttf'

Even though installing deno without the 'install.sh' is recommended, running this command is fast and easy and gets you deno installed.
curl -fsSL https://deno.land/x/install/install.sh | export DENO_INSTALL=/usr/local sh

Building
  1. Delete the previous build: make clean
  2. Build: make -j$(nproc) all
  3. Optionally test and benchmark: make test benchmark
About
All work we did for our P-Seminar ("Spiel Mal Mathe") at GymPeg.
amplus2.github.io/PSem/
Resources
Readme
AGPL-3.0 license
Activity
Custom properties
Stars
0 stars
Watchers
1 watching
Forks
0 forks
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Remove or un-stick sticky/fixed headers that block content\n(function() {\n function unstick() {\n document.querySelectorAll('header, nav, [role=\"banner\"], .header, .navbar, .sticky, .fixed-top, [style*=\"position: fixed\"], [style*=\"position:sticky\"]').forEach(function(el) {\n if (el.style.position === 'fixed' || el.style.position === 'sticky' || \n getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {\n el.style.position = 'static';\n el.style.top = 'auto';\n el.style.zIndex = 'auto';\n }\n });\n }\n \n unstick();\n \n var observer = new MutationObserver(unstick);\n observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });\n})();", "Kill Sticky Headers");
}
} catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Spiel Mal Mathe
collatz-collection
A collection of games and interactive statistics about the Collatz conjecture.
Our topic: The Collatz conjecture
1. Procedure
Start with a number n ∊ ℕ
  • If n is even → n becomes n / 2.
  • If n is odd → n becomes 3n + 1.
  • Repeat
2. Examples
8 → 4 → 2 → 1 → 4 → ...
5 → 16 → 8 → 4 → 2 → 1 → 4 → ...
3. Conclusion
Any number sequence of a starting number n ∊ ℕ (Collatz sequence)
ends in the following scheme 4 → 2 → 1 → 4 → ...
4. Problem
1.3 has not been proven.
5. Collatz-Steps
The length of the Collatz sequence is the number of steps required
to get to the value 1.
mathe-musik
A presentation on how Maths relates to Music.
Technical information
These sites are built using completely static HTML, CSS and JS, as well as some
C++ that is compiled to WebAssembly for performance. We don't use warehouses of
Node packages, instead we use KaTeX for math rendering, Chart.js for plotting
charts, and reveal.js for presentations. The build, of course, requires more
dependencies.
Dependencies
For a full rebuild of collatz-collection you will need the following software:
and the following fonts:
On a Debian-based system, run these commands:
apt install -y make python3 curl inkscape imagemagick graphviz qrencode clang lld-12 nodejs npm fonts-inter

curl -Lo /usr/share/fonts/truetype/Manjari.ttf 'https://github.com/google/fonts/raw/main/ofl/manjari/Manjari-Regular.ttf'

Even though installing deno without the 'install.sh' is recommended, running this command is fast and easy and gets you deno installed.
curl -fsSL https://deno.land/x/install/install.sh | export DENO_INSTALL=/usr/local sh

Building
  1. Delete the previous build: make clean
  2. Build: make -j$(nproc) all
  3. Optionally test and benchmark: make test benchmark
About
All work we did for our P-Seminar ("Spiel Mal Mathe") at GymPeg.
amplus2.github.io/PSem/
Resources
Readme
AGPL-3.0 license
Activity
Custom properties
Stars
0 stars
Watchers
1 watching
Forks
0 forks
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode");
}
} catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); }
})();
})();

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Spiel Mal Mathe
collatz-collection
A collection of games and interactive statistics about the Collatz conjecture.
Our topic: The Collatz conjecture
1. Procedure
Start with a number n ∊ ℕ
  • If n is even → n becomes n / 2.
  • If n is odd → n becomes 3n + 1.
  • Repeat
2. Examples
8 → 4 → 2 → 1 → 4 → ...
5 → 16 → 8 → 4 → 2 → 1 → 4 → ...
3. Conclusion
Any number sequence of a starting number n ∊ ℕ (Collatz sequence)
ends in the following scheme 4 → 2 → 1 → 4 → ...
4. Problem
1.3 has not been proven.
5. Collatz-Steps
The length of the Collatz sequence is the number of steps required
to get to the value 1.
mathe-musik
A presentation on how Maths relates to Music.
Technical information
These sites are built using completely static HTML, CSS and JS, as well as some
C++ that is compiled to WebAssembly for performance. We don't use warehouses of
Node packages, instead we use KaTeX for math rendering, Chart.js for plotting
charts, and reveal.js for presentations. The build, of course, requires more
dependencies.
Dependencies
For a full rebuild of collatz-collection you will need the following software:
and the following fonts:
On a Debian-based system, run these commands:
apt install -y make python3 curl inkscape imagemagick graphviz qrencode clang lld-12 nodejs npm fonts-inter

curl -Lo /usr/share/fonts/truetype/Manjari.ttf 'https://github.com/google/fonts/raw/main/ofl/manjari/Manjari-Regular.ttf'

Even though installing deno without the 'install.sh' is recommended, running this command is fast and easy and gets you deno installed.
curl -fsSL https://deno.land/x/install/install.sh | export DENO_INSTALL=/usr/local sh

Building
  1. Delete the previous build: make clean
  2. Build: make -j$(nproc) all
  3. Optionally test and benchmark: make test benchmark
About
All work we did for our P-Seminar ("Spiel Mal Mathe") at GymPeg.
amplus2.github.io/PSem/
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AGPL-3.0 license
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