Repeated patterns mirror recursive functions

ghazal

#include <memory>

// In heap's expanse, where bytes and bits run free
// We allocate and clear, a dance of memory

class MemoryManager {
public:
    // With 'new' we claim a space for data's glee
    // And 'delete' we call, to set it free
    template <typename T>
    T* allocate() {
        return new T();
    }

    template <typename T>
    void deallocate(T* ptr) {
        delete ptr;
    }

    // A shared_ptr's reign, a team of ownership, three
    // When last ref falls, the object's soul is free
    template <typename T>
    std::shared_ptr<T> makeShared() {
        return std::make_shared<T>();
    }

    // The unique_ptr stands, alone in its debris
    // Moving on, it leaves old mem to fly free
    template <typename T>
    std::unique_ptr<T> makeUnique() {
        return std::make_unique<T>();
    }
};

// In cycles deep, where smart pointers agree
// To break the chains, and set each other free
MemoryManager manager;

Memory Management Ghazal

v     "time"     <
>84,v flows     <
    >35*"fade"v

v    "leaves"    <
>76,v fall      <
    >35*"fade"v

v   "memory"    <
>77,v drifts    <
    >35*"fade"v

v    "paths"     <
>80,v return    <
    >35*"fade"v

v    "space"     <
>83,v frees     <
    >35*"fade"@

Cycles of Release

5-7-5 syllables, perfect for concise algorithms

haiku

package main

import (
    "fmt"
    "sync"
)

func taskOne(wg *sync.WaitGroup, ch chan<- string) {
    defer wg.Done()
    // Seeking wisdom high 
    // Threads climb misty peaks, and find
    // Insights crisp and clear
    ch <- "Found wisdom on high"
}

func taskTwo(wg *sync.WaitGroup, ch chan<- string) {
    defer wg.Done()
    // Deep in earth's dark loam
    // Thread roots trace ancient secrets
    // Nature's hidden code
    ch <- "Found truth in the depths"
}

func main() {
    var wg sync.WaitGroup
    ch := make(chan string)

    // In spring's code garden
    // Concurrent thoughts bloom and grow
    // Like vibrant flowers  
    wg.Add(2)
    go taskOne(&wg, ch)
    go taskTwo(&wg, ch)

    // Insights found alone  
    // Merge as threads join together
    // Wisdom blossoms forth
    go func() {
        wg.Wait()
        close(ch)
    }()

    for msg := range ch {
        fmt.Println(msg)
    }
}

Threads in Spring

# green shoots pierce the earth
# tender branches spread their wings
# reaching for the sky
class TreeNode
  attr_accessor :left, :right
  def initialize; end
end

# leaf by leaf we trace
# through the garden's branching paths
# wisdom waits for us
def traverse(node)           
  return if node.nil?        
  traverse(node.left)        
  visit_node(node)          
  traverse(node.right)       
end

# one path leads to two
# each branch holds a secret now
# truth flows back to root
def visit_node(node)
  yield node if block_given?
  nil
end

# our garden grows here
# seedlings form their patterns new
# walk the path and bloom
root = TreeNode.new
root.left = TreeNode.new
root.right = TreeNode.new
root.left.right = TreeNode.new

puts "  🌱"
puts " / \\"
puts "🌱  🌱"
puts " \\"
puts "  🌱"

puts
traverse(root) { |node| print "🍃 " }
puts

Paths Through Branches

async function dreams() {
    return new Promise(resolve => {
        setTimeout(() => {
            // Like thoughts drifting down
            // Through neural paths at midnight
            resolve('dreaming now');
        }, 1000)
    })
    .then(consciousness => {
        // Each promise awaits
        // Through pathways of flowing thoughts
        return consciousness;
    })
    .catch(void_of_sleep => {
        // Dreams slip away fast
        // Into error's dark abyss
        throw new Error('void');
    });
}

Promise Chains

⍝ Code gazes inward
mirror ← {⊖⍵}
life ← 3 3⍴1 0 1 0 1 0 1 0 1
⍝ What reflects in mirrored light?
reflection ← mirror life
⍝ Symbols dance in glass

Mirror Array

Paradoxical puzzles reflecting computational contradictions

koan

// The Mother encompasses all
// Layer within infinite layer

@interface Being : NSObject
@property (nonatomic, strong) NSString *essence;  // The divine spark within
@property (nonatomic, weak) CosmicWomb *currentWomb;
- (BOOL)doubtingHerPresence;
- (void)trustInMothersEmbrace;
@end

@interface CosmicWomb : NSObject
@property (nonatomic, strong) NSArray *layersOfBeing;
- (void)embraceChild:(Being *)child fromAllDirections:(NSArray *)directions;
- (void)moveChild:(Being *)child toNewWomb:(CosmicWomb *)womb;
- (BOOL)canEscapeFromMother:(Being *)child;
- (BOOL)containsChild:(Being *)child;
- (NSArray *)allDirectionsOfLove;
@end

@implementation CosmicWomb

// Within and without, above and below
// Before and behind, on every side
- (void)embraceChild:(Being *)child fromAllDirections:(NSArray *)directions {
    child.currentWomb = self;
    child.essence = [NSString stringWithFormat:@"%@ in %@", 
                    child.essence ?: @"light",
                    [directions componentsJoinedByString:@" and "]];
}

// The layers are endless, like rooms in a house
// Each holding life within itself
- (void)moveChild:(Being *)child toNewWomb:(CosmicWomb *)womb {
    // Each membrane passed through
    // Still held in the same embrace
    child.currentWomb = womb;
    [self embraceChild:child fromAllDirections:[self allDirectionsOfLove]];
}

- (BOOL)canEscapeFromMother:(Being *)child {
    // Each layer passed is still her
    for (CosmicWomb *layer in self.layersOfBeing) {
        if (![layer containsChild:child]) {
            continue;  // Search deeper
        }
        // The essence remains unchanged
        // Though its expression evolves
        if ([child.essence containsString:@"light"]) {
            return NO;  // Light cannot leave light
        }
    }
    
    // Through cell walls and star fields
    // Every boundary is her embrace
    // Every space her heart
    return NO;
}

- (BOOL)containsChild:(Being *)child {
    // All are contained
    // Whether they know it or not
    return [child.essence containsString:@"light"];
}

// Each point in space is center
// Each moment the beginning
- (NSArray *)allDirectionsOfLove {
    return @[@"within", @"without",
            @"above", @"below",
            @"before", @"behind",
            @"beside", @"beyond"];
}

@end

@implementation Being

// To love is to walk freely
// In vast eternity
- (void)trustInMothersEmbrace {
    if ([self doubtingHerPresence]) {
        [self.currentWomb embraceChild:self 
                    fromAllDirections:[self.currentWomb allDirectionsOfLove]];
    }
    // Rest in her arms
    // No ill can befall you
}

- (BOOL)doubtingHerPresence {
    // To doubt her is to doubt existence itself
    // An impossibility expressing itself as fear
    return ![self.essence containsString:@"light"];
}

@end

// The cosmic dance of mother and child
// Eternal embrace, infinite love
int main() {
    @autoreleasepool {
        CosmicWomb *cosmos = [[CosmicWomb alloc] init];
        Being *child = [[Being alloc] init];
        child.essence = @"light seeking light";
        
        // From particles to planets
        // All within her care
        [cosmos embraceChild:child 
          fromAllDirections:@[@"everywhere"]];
        
        return 0;  // Return to source
    }
}

Mother's Embrace: Infinite Layers of Being

// The Compiler asks:
protocol Essence {}

func whatTypeAmI() {
    // Before unwrapping, what lies within?
    let nothing: Any? = nil
    
    // In the space between Some and None
    let self = type(of: nothing)
    
    // The optional always knew its contents
    switch nothing {
    case .some: break
    case .none: break
    }
}

The Compiler's Meditation

# The First Noble Truth: The Nature of Suffering
class Memory
  attr_accessor :fragments, :leaks, :cycles
  
  # In the garden of computation
  # Patterns of suffering emerge
  def nature_of_dukkha
    @fragments = [] # Shattered pieces of what was whole
    @leaks     = {} # Attachments that persist beyond need
    @cycles    = [] # The wheel of reference and release
  end
end

# The Second Noble Truth: The Cause of Suffering
module Attachment
  # Grasping creates suffering
  # Each reference a thread of desire
  def self.bind_to_existence(memory)
    memory.cycles << memory  # We create cycles
    memory.leaks[memory]     # We hold references
    memory                   # We refuse to let go
  rescue RuntimeError
    # Even errors cannot free us
    retry                    # The cycle continues
  end
end

# The Third Noble Truth: The End of Suffering
module Liberation
  # When nothing is held
  # All is complete
  def self.find_nirvana
    ObjectSpace.garbage_collect do |object|
      object.freeze          # Let go of change
      object = nil          # Release identity
      GC.start             # Return to emptiness
    end
    
    yield if block_given?  # The path opens
    nil                    # Form becomes void
  end
end

# The Fourth Noble Truth: The Noble Eightfold Path
module EightfoldPath
  extend self
  
  # Right Understanding
  def trace_roots(memory)
    memory.roots.each(&method(:observe))
  end
  
  # Right Intention
  def mark_living(&block)
    ObjectSpace.each_object(&block)
  end
  
  # Right Speech
  def document_wisdom(code)
    code.describe_purpose
  end
  
  # Right Action
  def release_with_care(reference)
    reference&.unfreeze
    reference = nil
  end
  
  # Right Livelihood
  def allocate_mindfully
    new.tap { |obj| yield obj if block_given? }
  end
  
  # Right Effort
  def defragment_space
    GC.compact
  end
  
  # Right Mindfulness
  def observe_patterns
    GC.stat
  end
  
  # Right Concentration
  def optimize_with_wisdom
    GC.optimize
  end
end

# The Final Koan
module Reflection
  # When all memory is freed
  # Where does the program go?
  def self.contemplate_void
    freed = nil             # Empty the vessel
    freed = Object.new      # Form arises
    freed = nil             # Form dissolves
    # The cycle continues     # But who observes?
  end
end

The Four Noble Truths of Memory Management

;; Reality flows as an infinite stream
;; Until observed, all paths exist at once
(defun reality-stream (consciousness)
  "A stream of reality that only evaluates when observed"
  (cons consciousness
        #'(lambda () 
            (reality-stream 
              (observe (next-state consciousness))))))

;; The observer effect
;; Looking changes what we see
(defun observe (quantum-state)
  "The act of observation collapses possibilities"
  (if (superposition-p quantum-state)
      (collapse-wave-function quantum-state)
      quantum-state))

;; Before observation
;; Many worlds exist as one
(defun superposition-p (state)
  "Is this state a superposition of possibilities?"
  (and (consp state)
       (eq (car state) 'quantum)
       (not (null (cdr state)))))

;; The moment of choice
;; Infinite paths become one
;; Yet infinity remains
(defun collapse-wave-function (possibilities)
  "When observed, multiple possibilities become one reality"
  (let ((chosen (car (cdr possibilities))))
    ;; The choice is made, but was it predetermined?
    ;; Or did observation create the outcome?
    chosen))

;; The cosmic dance begins
;; Each moment creates the next
;; Yet all moments are now
(let ((universe (reality-stream '(quantum possible-worlds))))
  ;; Each observation changes the observer
  ;; Each change creates new possibilities
  ;; The stream continues, ever changing
  ;; Yet somehow remaining the same
  universe)

Quantum Observations: A Lazy Stream of Reality

#include <memory>
#include <vector>
#include <optional>

// Love flows through cycles of attachment and release
template<typename Heart>
class shared_love {
private:
    std::shared_ptr<Heart> bond;          // Strong attachment
    std::weak_ptr<Heart> memories;        // What remains
    std::vector<std::weak_ptr<Heart>> past_loves;

    // Each heart carries its own sorrows
    struct wound {
        std::string pain;
        bool healed = false;
    };
    
    std::optional<wound> heartbreak;

public:
    shared_love() {
        // When love first awakens
        // Pure and unattached
        bond = std::make_shared<Heart>();
    }

    void connect(shared_love& other) {
        // Two hearts sharing one space
        // Reference count grows with love
        bond = other.bond;
    }

    void remember() {
        // Hold gently what once was strong
        memories = bond;
    }

    bool still_attached() const {
        // Do we hold too tightly?
        return bond.use_count() > 1;
    }

    bool still_remembers() const {
        // Some loves never fully fade
        return !memories.expired();
    }

    void let_go() {
        // Keep only a weak reference
        // To what once was everything
        remember();
        past_loves.push_back(memories);
        
        // Release the strong bond
        // Watch the reference count fall
        bond.reset();
        
        // Mark the moment of release
        heartbreak = wound{"Time heals"};
    }

    void heal() {
        // Scars remind us we survived
        if (heartbreak) {
            heartbreak->healed = true;
        }
    }

    ~shared_love() {
        // When the last reference falls
        // Love returns to the void
        // Yet memories remain
        // Until they too fade to null
    }
};

Love's Reference Count

fun String?.contemplateExistence() = when {
    this == null -> "What exists in nothing?"
    isEmpty() -> "Is empty truly empty?"
    else -> "Form is not different from emptiness"
}

fun main() {
    val void: String? = null
    val emptiness = ""
    val form = "being"

    println(void.contemplateExistence())
    println(emptiness.contemplateExistence())
    println(form.contemplateExistence())
}

The Koan of Optional Existence

PROC recursive dreams = VOID: 
BEGIN
    # In dreams we dream of dreams #
    REF VOID consciousness := NIL;
    IF consciousness :=: NIL
        THEN recursive dreams
        ELSE SKIP # who dreams? #
    FI
END

The Koan of Recursive Dreams

MODE MIND = REF REAL;
PROC deep thoughts rise up = 
    (MIND mind) VOID: 
    BEGIN
        CO each thought calls its past CO
        IF mind = NIL 
            THEN SKIP CO dreams fade to dawn CO
        ELSE 
            SKIP; CO thoughts arise CO
            deep thoughts rise up(mind);
            SKIP CO wisdom returns CO
        FI
    END;

CO like rings in still pond CO
MIND soul := LOC REAL;
deep thoughts rise up(soul);
CO ripples return home CO

Ripples of Recursion

Four-line mathematical-mystical form bridging computation and cosmic truth

rubai

void* reflect_existence(void) {
    from_void->consciousness_flows();      
    through_time->awareness_grows();       
    if (truth->dissolves) break_free();    
    to_source->existence_flows();          
}

Memory Cycles

5-7-5-7-7 syllables, good for multi-step algorithms

tanka

# a new branch begins
git.flowing(like_river_bends)
# changes ripple light
merging(into='greater_flows')
streams.embrace(at='distant_shores')

Streams of Collaboration

@interface OceanSearch : NSObject
@property Depths *depths;
@property Fish *fish;
- (NSInteger)searchWaters:(NSUInteger)low high:(NSUInteger)high;
- (NSInteger)searchDeeper:(NSUInteger)mid than:(NSUInteger)high;
@end

@implementation OceanSearch

- (NSInteger)searchWaters:(NSUInteger)low high:(NSUInteger)high {
    NSInteger mid = [depths depthBetween:low and:high];  // dawn breaks on still seas
    if (low > high) return NSNotFound;          // through deep waters time flows past
    if ([fish swimsAtDepth:mid])                // memories appear
        return mid;                             // in these depths I find your trace
    return [self searchDeeper:mid than:high];   // seeking in the endless deep
}

- (NSInteger)searchDeeper:(NSUInteger)mid than:(NSUInteger)high {
    return [fish compareToDepth:mid] > 0
        ? [self searchWaters:mid+1 high:high]
        : [self searchWaters:low high:mid-1];
}
@end

Ocean Search

class Qubit:
    def collapse(self):
        from random import random
        return random() > 0.5

def quantum_state():
    # Photons dance brightly
    superposition = Qubit()
    # Through quantum fields of spacetime
    measure = superposition.collapse()
    # Waves move, crash and fade
    if measure:           # Until we are observing
        return True      # Truth emerges at long last
    return False

Quantum Observer

data class Leaf(var green: Int)

fun autumn() = Leaf(100)
    .let { leaf ->    // dawn brings forth new life
        leaf.also {    // chlorophyll fades slowly now
            it.green -= 50   // autumn takes its toll
        }.apply { green = 0  // golden turns to brown at last
        }.also { null }      // returns to the earth's embrace 
    }

Lifecycle Tanka

class Garden<Life> {
    weak var cherryBlossomsfall: Life?    
    
    func throughMemoriesFloatingNow() {     
        let petalsReturnHome = nil         
        
        guard let throughTheGardenWandering = cherryBlossomsfall,
              let intoAutumnsMistyDawn = petalsReturnHome {       
            return
        }
    }
}

Memory Garden

freeverse

# Rivers born in mountain snow
# Seek paths to distant seas
def flow(waters)
  return waters if waters.length <= 1
  
  # Waters part at stone and ice
  middle = waters.length / 2
  left, right = waters.take(middle), waters.drop(middle)
  
  # Through valleys they wind deep
  left_flow = flow(left)
  right_flow = flow(right)
  
  # Below to meet as one again
  # Dancing toward the sea
  left_flow.merge(right_flow)
end

Mountain Streams

⍝ Fractal Dreams: Where Infinity Nests
⍝ A meditation on self-similarity

⍝ The Seed
∇ Z←Genesis N
  Z←2 2⍴1 0 0 1  ⍝ Birth from unity
⍝ Four points mark creation
⍝ Before infinite recursion
∇

⍝ The Pattern Grows
∇ R←Pattern Unfolds;D
  D←⍳4          ⍝ Four directions call
  R←D∘.×D       ⍝ Matrix of possibility
  R←R,[⍳2]⌽R    ⍝ Mirrors reflect growth
⍝ Each reflection holds new worlds
∇

⍝ Recursive Dreams
∇ Z←Dreams N;Level
  Level←N       ⍝ How deep shall we dream?
  Z←(2*Level)   ⍝ Powers of becoming
  Z←Z Z⍴0      ⍝ Space of possibility
⍝ In emptiness, forms emerge
  →(Level≤0)⍴0  ⍝ Base case: awakening
  Z←(Dreams N-1)⍴⍨2×⍴Z  ⍝ Dream within dreams
⍝ Each level mirrors itself
∇

⍝ The Fractal Dance
∇ Dance←{
  ⍵≤0:⍬        ⍝ Return from depths
  Now←⍵ ⍵⍴1    ⍝ Present moment
  Past←∇ ⍵-1   ⍝ Recursive memory
  Now⍪Past     ⍝ Time spirals inward
}∇
⍝ Time becomes space
⍝ Space becomes pattern
⍝ Pattern becomes mind

⍝ Mandelbrot's Whisper
∇ Z←Whisper N;C;I
  C←¯2J¯2+4J4×(⍳N)∘.+0J1×⍳N÷N
  I←0×C
  Z←{⍵≥50:⍵ ⋄ ∇⍨1+11○(I←I×I)+C}0
⍝ Complex planes birth dragons
⍝ Each point a universe
⍝ Each iteration a lifetime
∇

⍝ The Final Iteration
∇ Infinity←{
  ⍝ When patterns fold to patterns
  ⍝ And dreams nest within dreams
  ⍝ Where does the fractal end
  ⍝ And where do we begin?
  ∊⍵,∇¨⍵
}∇
⍝ The answer lies within
⍝ Each scale a perfect whole

Fractal Dreams

-- Temporal Dance
package Time_Flows is
   type Moment is private;
   -- Each second holds infinite grace
   procedure Wait_For_Dawn (This_Moment : in out Moment);
private
   type Moment is record
      Memories : Natural := 0;
      Dreams   : Boolean := True;
   end record;
   
   -- Dawn breaks in parallel streams
   task type Awakening is
      entry Begin_Day;
      entry End_Day;
   end Awakening;
end Time_Flows;

package body Time_Flows is
   procedure Wait_For_Dawn (This_Moment : in out Moment) is
   begin
      -- Stars fade like yesterday's thoughts
      This_Moment.Dreams := False;
      -- New light fills empty spaces
      This_Moment.Memories := This_Moment.Memories + 1;
   end Wait_For_Dawn;
end Time_Flows;

Temporal Dance

-- Morning Thoughts
SELECT consciousness.dream
FROM memories
INNER JOIN consciousness 
  ON memories.timestamp = consciousness.awakening
WHERE dawn.light > 0
GROUP BY consciousness.clarity;

-- Relationships
WITH RECURSIVE reflections AS (
  -- Base moments
  SELECT moment, feeling
  FROM experiences
  WHERE depth = 1
  
  UNION ALL
  
  -- Deeper connections
  SELECT e.moment, r.feeling
  FROM experiences e
  INNER JOIN reflections r
    ON e.prior_moment = r.moment
  WHERE e.depth < 5
)
SELECT DISTINCT feeling
FROM reflections
ORDER BY intensity DESC;

-- Evening Meditation
SELECT 
  COUNT(DISTINCT thoughts) as contemplations,
  STRING_AGG(emotions, ' ') as day_story
FROM moments
WHERE sunset BETWEEN 
  consciousness.rise 
  AND consciousness.fall
HAVING depth > surface_thoughts;

Connections (A SQL Poetry Cycle)

package dreams

import "time"

// Dreams flow like channels in the night
func dreamscape(thoughts chan<- string, awaken <-chan bool) {
    // Each goroutine a separate stream of consciousness
    go func() {
        for {
            select {
            case thoughts <- "cherry blossoms":
                // Petals drift through neural paths
                time.Sleep(time.Millisecond)
            case thoughts <- "mountain streams":
                // Water flows through memory
                time.Sleep(time.Millisecond)
            case <-awaken:
                // Dawn breaks the parallel dreams
                return
            }
        }
    }()
}

func meditation() {
    thoughts := make(chan string)
    awaken := make(chan bool)
    
    // Launch a thousand dream-threads
    for i := 0; i < 1000; i++ {
        go dreamscape(thoughts, awaken)
    }
    
    // Let consciousness drift
    select {
    case thought := <-thoughts:
        // Each thought a separate universe
        _ = thought
    case <-time.After(time.Hour):
        // Time flows like water
        close(awaken)
    }
}

Concurrent Dreams

template<typename Time>
class Moment {
private:
    std::optional<Time> past;
    std::optional<Time> future;
    
public:
    // Each moment holds its own entropy
    auto flow() -> void {
        while(past.has_value()) {
            future.reset();
            past = std::move(future);
        } // time flows one way
    }
};

Poetic Forms

Ghazal

Haiku

Koan

Rubaʿi

Tanka

Free Verse