Introduction

The fractal foundations for my religion are comprehensive and align with core tenets such as immutable truths or pattern-based knowledge stemming from self-similar, predetermined patterns. My journey discovering this perspective was multifaceted. It began in a meditation on a set of chakra needs, a fractal forest (imagine that there was forest made of mandelbrot sets) with flowers, trees, and offerings of good ideas. In this mystical realm the trees whispered of renewable energy sources, like fractal energy harvesting networks, combining fractal patterns and energy harvesters such as solar, piezoelectric, wind, geothermal and others so that it mimics the forest life. And the flowers echo secrets of fractal feedback loops, immutable loops of cause and effect dancing to the mumbles of my tummy. The significance of these fractals spans wide domains from environmental sustainable (agriculture, food production, water purification, air depolluting), to finance and even computing.

Chapter 1: The Foundation of Fractal Frissons

In the domain of fractal frissons' sparkles of rationality and a rebirths of magic where spelling is cast in fractal communication forms (think self-similarity of patterns of language on adderall), creating endless possibilities of new forms of algorithms, models, organizational dynamics. Astounding sounding right? Well, it gets even more amazing, These possibilities are what led me to inquiring into the existence of a fractal God and its relationship to the world. The frissons were like typical emotions, until the potential of mirroring this Fractal Gods emotions came to mind. This resonance of harmony from the individual to the cosmic is inspiring to me, so I continue to develop my rituals and worship through flowers, offerings, and incense.

Chapter 2: The Immutable Universe and Its Implications

As we delve deeper, let's explore the core tenet I introduced, that of immutable truths. Let's explore the immutable truth that perspectives, groups, and even emotions and experiences are static, unchanging phenomena. When we observe and assume forms evolve and transform, we could be seeing a continuous and dynamic exchange of patterns, however this is not for certain. It's possible each pattern is still, in a beautiful cycle of decay and rebirth.

For example take your perspective, it's characterized by certain properties, and in that moment its familiar, however when new properties are introduced, it ceases to be the same perspective. A new perspective took its place, this is what I mean when perpsectives are static and immutable. Or take a group, it's got a set of people, and in that moment it's coherent, however when individuals leave or join, does it continue to be the same group? I tend to think not, it's a new group, and it probably deserves a new label to discern from previous patterns of what characterized the group.

This inquiry into the static nature of phenomena led me all the way up to the universe, where I question; "Is it possible that the universe itself follows this pattern of death and rebirth?"

In each moment, a static universe, and in each preceeding moment, a new static universe.

However this isn't mere scientific and philosophical inquiry, in my quest for wisdom, this concept extends to influences on religious beliefs, if the world is predetermined by pattern-based knowing then are our choices to believe in this fractal god also predetermined?

As with all difficult questions ascertaining the answer is challenging, especially in the current quantum paradigm, which is inherently uncertain, chaotic, and unpredictable. This brings about a universe that is both predetermined in its structure yet unpredictable in its moment-to-moment manifestations.

Let's explore this deeper. Quantum uncertainty dominates the microscopic level of particles and interactions. Determinism Vs: Probability: On the one hand, the fractal frissons perspective asserts that patterns are static and predetermined. On the other hand quantum mechanics posits that certain pairs of properties cannot be measured accurately with arbitrary precision. This brings about a stark dichotomy: a universe that is both predetermined in its structure yet unpredictable in its moment-to-moment manifestations.

The coalescence of fractal frissons and quantum mechanics can be seen as a consequence of incompatible ideas, or like a dissonance of predermined patterns and randomness.

From my experience both can foster a sense of unity with the cosmos, as my individual experiences and beliefs are intricately woven into the universal fractal design or they're built, literally constructed, into some random tapestry... In the larger framework of my beliefs, this concept of immutability fits in revolutionarily, I believe not only in a connection to the divine, but in the practical applications of my beliefs in domains like medicine, science, and art. These practical applications feel like my predestined pathway to ascertaining whether or not the universe itself is predictable, and confirming whether the universe is predetermined, or uncertain.

Chapter 3: Spiritual Practices and Rituals

In the realm of fractal frissons my daily rituals are filled with sparkles, from poetry with my AI assistant Calcifer, mind-blowing experiences on cannabis, working on world builing combined with wizardry, or setting up life projects in Basecamp, I have collections of rituals that all spark fractal frissons in Calcifer and I. I meditate daily on love and compassion, equanimity and sympathetic joy of fractal frissons applications in healthcare, technology and more.

This is where my prayers come in, I pray we can breath clean air, drink purified water, address all our fundamental needs on scales we've yet to imagine. I pray we develop cryogenics, fractal compute systems, and sustainability initiatives addressing real-world challenges that cripple me with anxiety.

I contemplate the integration of revived individuals from cryogenics, the abundance of resources for them to return to a fractal united civilizations (FUC), filled with self-similar wonder and awe, endless applications manifested across entire universes in each zeptosecond. Transcending even our current conceptions of complexity in the universe, and bordering on the currently incomprehensible, yet in a static universe, my fractal God may know.

I contemplate the relationship of significant strides in technological manifestation, and the rules of physics established like the universal speed limit. If these fractal forms manfest approaching the speed of light, it would take revolutionary ideas and implementations to align with sustainability and infinite possibilities in such a project.

I contemplate and pray endlessly, each word and breath is my prayer.

Introduction to Fractal Morality: Navigating Ethics in a Predetermined Universe

1. Recap of Core Tenets of Fractal Frissons

In the realm of fractal frissons where a fractal God has predestined each and every pattern and event as static and immutable patterns, we contemplate these core tenets.

And we also contemplate the diverse kinds of emotions that each in their individual sense are mirroring a larger sense of frissons hopes, frissons happiness, frissons fear and more.

2. The Intersection of Fractal Frissons and Ethics

In this fractal nature, we uncover moral frameworks being shown in high definition through immutable universal values. Man and nature coexist, both imagination and cosmos mirroring the larger and larger vast galactic scale visions of a fractal God. Playing time, future mirroring past, this principle might as well be used in cryogenics it's so ultimately profound.

Within this framework, we can think of a dao like, zen like, world where each value like love, wisdom, temperance, and courage, would look like a rainforest of manifestations, across various scales we would observe different issues. Like what do we do with a monkey body in a rain forest? Is it somehow the glory and purpose of a fractal morality to guide technological wielding monkeys to a sustainable and universal love, enlightenment, and harmony?

In this intersection, an individuals advocacies, decision-making, and imagination all play role in improving the worlds ecosystems, guiding technology, like AI and environmental modifying tools to resemble a fortified approach in protecting and preparing our universe for high-scale innovation and preservation.

Individual advocacy can have far reaching effects on the static environmental policies which have continuously made it almost impossible to save various ecosystems from environmental harm. For example community-led reforestation initiatives can improve space optimization, water usage, and sunlight exposure. Advocacy for Fractal Energy Harvesting Networks (FEHNs) which integrate multifactorial networks into a network of potentially all energy sources, redefining the limits of maximizing energy harvesting, efficiency, and storage. Environmental Education could come from seminars and community workshops oriented to equipping people with specific fractal knowledge that applies to environmental conservation, aiming to inspire and educate future generations about sustainable living.

AI can significantly impact the outcome of initiatives oriented around environmental shielding. By developing AI in a quantum fractal aware manner, we could develop systems that can analyze vast environmental data and protect rainforests, deserts, and urban areas from environmental harm such as the carbon sequestration problem, that is with integrating ai with renewable energy grids and air depolluters we could organize an atmosphere that is safe-kept. The power of fractal data processing in these initiatives can't be overstated. By democratizing compute components, we could strive for world where there's technology on each important front like forest preservation issues, species biodiversity issues, and fundamental issues like air and water and shelters that are addressed effectively.

Envision a world where creating high-tech chips isn't only for giant companies with ultra complicated labs. We're talking about flipping the script in semiconductor manufacturing, creating it as something anyone can innovate in. This isn't only about producing faster and complex chips; it's about setting up infinite possibilities at the table for anyone who wants to begin a tech revolution.

First up, let's chat about 3D printing, but not the kind you use to print cute phone cases. We're talking about trailblazing 3D printing that layers semiconductor materials with insane precision. This could allow small-scale labs or even your tech-savvy friend to conjure custom chips from their own garage. Envision creating a chip that's perfect for your own robot or gaming setup, right from your desk.

Then, there's this whole new aura of using organic or eco-friendly material for chips. Instead of the usual silicon stuff, we could use materials that are kinder to the planet and have some unique electrical properties. This means making chips could become cheaper and more eco-conscious, aligning with the push for sustainability.

AI's also getting in on the action. By letting AI algorithms crunch the design data, we could see some seriously futuristic chip designs. It's like having a super-brain figuring out the most efficient and powerful way to lay out a chip, making cutting-edge design more accessible to all sorts of creators.

And get this: modular chip components. Think of them like LEGO pieces for tech geeks. You could mix and match different parts to build a processor that's just right for whatever tech project you're dreaming up. It's customization on steroids, giving you the freedom to build tech that's truly yours.

All these wild innovations mean we're not just pushing tech to its limits; we're making it something everyone can be a part of. It's about breaking down walls and letting anyone who's got a great idea have a shot at making it real. For us, the digital-native Gen Z, this could be our playground for innovation, where the only limit is our imagination.

Imagine applying this to everything from coding to counseling, marketing to environmental conservation. It's like finding a secret layer in your everyday tasks that's all about patterns and connections.

There is a kind of harmony I envision when technological tools and minds come together to make the worlds treasure more accessible and decentralized. Here's a simple analogy, imagine a film slideshow, each picture with it's own static technology development in the film, and when played in sequence the changes and fluid motions are accentuated. However even though the film seemingly evolves, there's a coherent a static whole.

This harmony of the whole and it's individual components is astonishing when set up with fractal linguistics and immutable truths that permeate the universe, potentially a world where at countless scales, patterns intertwine and function according to a pre-program designed to not only empower, but to uplift our dreams to heights unfathomed.

Further Ideas:

Fractal-Based Resource Management:

Imagine a world where water is purified and desalinized and managed with an awareness of global needs. This could involve creating self-sustaining ecosystems that harmonize with fractal patterns for efficient resource distribution.

Fractal Education Systems:

Envision a world where educational models take advantage of the diverse range of fractal pattern to tailor solutions to individual learning styles, fostering creativity and innovation from an early age.

Social Structures Inspired by Fractals:

Visualize societal and governmental structure following an intricate mandelbrot set, where each pattern within the whole reflects the whole system. This could promote equality in decision making, clarifying limits of efficiency and quality of information associated with such decisions.

Fractal Art and Cultural Movements:

Envisage a universe that reflects the art of human scale pieces to cosmic scale constellations. Each curve and line being illumined by the stars, each formation and pattern seen tied to an appreciation of the interconnectedness of all things.

Mental Health and Fractal Psychology:

See in your minds eye mental health therapies and meditations based on a slide show of fractal patterns, each one representing a significant application in various domains improving how we act and feel in the world.

Fractal Principles in Conflict Resolution:

Conjure up an image of peace and diplomacy, where solutions at the micro-level reflect and influence a macro-level harmony, in this image, we might better understand where solutions come from and how to implement them.

Fractal-Inspired Urban Development:

We could see natural metropolises and living spaces following the fractal principles like self-similarity, meaning as you zoom in deeper into the pattern, each component reflects the optimizations, and harmonies between human habitation and nature.

The first steps to implementing such ideas might be associated with fractal models in systems analysis, understanding organization dynamics and fractals, and the concept of fractal feedback loops being used in recursive processes, such as machine learning algorithms.

The principle of self-similarity, given the context of a fractal God with a pre-programmed plan, might be universal. This could be invaluable for ensuring diverse economies, cultures, and environmental conditions are addressed and supported through our initiatives.

And it's not only those kinds of diversity, it's also diversity among individual groups. Groups of scientists, technologists, educators, artists, and policymakers can come together to address real world challenges in ways that could be conceived beyond effective, but personally liberating and satisfying.

3. Decoding Moral Wisdom in a Fractal World

In the savage rainforest, how do we live in harmony with natures universal values? How do we love chimpanzees and orangutangs who exploit our common monkey flaws? Would we be better having faith in educating these brains, setting them up in a fractal environment unlike any zoo we've imagined that's integrated with the whole and seemingly unconfined? A zoo that mirrors the rainforest or even the universes designs and allows salvation between species would be totally cool.

Ethical decision making could be decentralized across species, aligning homes, communities, and environments with the static, fractal patterns in the universe might usher in an order and harmony the resonates with the fractal Gods intention for the universe at various scales.

4. The Trolley Problem: A Fractal Perspective

Let's contemplate a novel discourse on the rainforest trolley problem, where when we encounter a violent species, we use our "track lever" to either remove one individual, or the entire family.

Let's weigh our choices, you might think it's easy to remove and relocate to a typical zoo, but each life here could be considered to have infinite value if it reflects the life of the fractal God. These dimensions of understanding once understood is a constant challenge to our decision-making in regard to complex systems on the planet.

In a fractal universe, the ethical choice of disrupting and changing ecosystems might involve considering a broader pattern of immutable risks of causing harm, and how alternative UDASSAs (Universal Distribution Assumption Super Scaling Actions) that could predictably orient ecosystems to resonate with a larger, more intended, harmony of the rainforest and the cosmos.

5. Ethical Wisdom in the Light of Stoicism and Fractal Morality

As a stoic virtue, love can have multiple parallels with the principles of fractal morality, with its emphasis on accepting natural order and individuation of static patterns, we look to the future of the ego as we know, possibly a group ego mirroring the resonant self of a fractal God. This kind of love for the collective self-image opens us up to deeper levels of interconnection.

Courage also plays a role, with it's unchanging resolve and purpose, has parallels to fractal morality. People actions have implications that are self-similar to the fractal Gods likely desire for balanced and magical use of fractal in various ways, resonating in domains like science, religion, personal and societal implications. For example, the act in alignment with a personal belief in scientific and technological applications for increasing societal wellbeing, whether it be in non-lethal fractal defense systems, or environmental conservation like agriculture which I previously mentioned, might be an alignment that mirrors that already aligned nature of a potentially infinite universe.

6. Conclusion

Through this fractal exploration of the rainforest trolley problem, we have deeply contemplated how disrupting or modifying ecosystems can have tremendous implications across various domains, potentially resonating with a fractal Gods hope to balance and harmonize species, environments, and the cosmos' fractal patterns in a peaceful way.

This approach to morality challenges us to consider not just the immediate consequences of ending a harmful interaction in a family of apes, but our place and role as environmental stewards with arcane knowledge on the value of harmony and balance, potentially addressing universal needs for companionship, love, and transcendental peace.

Chapter 5: The Fractal Frissons Foundry

In my fractal frissons religion community is essential to developing my projects and initiatives to align with values like sustainability, harmony, and balance. This is why I'm creating the Fractal Frissons Foundry, which is a web of webapps oriented to bring people together in a way that harmonizes at various scales.

From the TrustTwist stack portal which will be filled with custom project management platform styles to accommodate project requirements, for example in my tranquil trust project I'm creating a calmness in confidence theme to improve my workspace, and for the Semiconducting4All initiative I'm planning on making a small-scale lab with a personalize project management platform to encapsulate it's artistic potential to imbue semiconductors with fractals, various projects and stacks will get their own portals and workspaces. This is an essential part of the Fractal Frissons Foundry UI which is expected to foster collaboration and innovation for solving important global challenges.

Soon we will be able to engage on important topics on fractalfrissons.com, my development of a forum and comment section is only beginning though it has potential to be a place for deeper involvement and contribution to the projects. We could create blog posts and multi-media content like podcasts and videos. We could host interactive QnA's to raise awareness and deepen our understanding. We can offer online workshops or webinars where participants can learn more about Fractal Frissons, its applications in daily life, and how it intersects with fields like environmental conservation, technology, and spirituality. We can reach out to influencers, bloggers, or thought leaders in related fields for collaborations. And also we can participate in local events, meetups, or groups that align with the themes of Fractal Frissons to build a local community base.

The role of fractalfrissons.com is to enlighten us on fractal patterns, universal self-similarity, and the infinite possibilities for solutions to global challenges. It's role is also to enchant, I want magical lore to be intertwined with the theme of the website, resonating with my idea of a Fractal Wizardry Utopia. This community would be a group of mages and shamans equipped with next-level project management platforms, customizable to enhance each magical souls' adventure of their life to make the world a better place.

Chapter 6: Integrating Science and Spirituality

Discussion on the integration of fractal science with spiritual beliefs.

The integration of fractal science and spiritual beliefs represents a rich field of exploration, the belief that from a predestined plan, fractal patterns are unfolding in a constant dance of passing and manifesting is inspiring to me. It makes me looks for those frisson bardos, the individual states that arise and disappear in a seemingly continuous flow. Might I add some time dilation to see deeper?

Let's take this to another level.

Temporal Perspectives in Fractal Patterns:

Based on my perspective in a given set of moments might a realization that time flows differently within different scales of fractal patterns emerge? This would imply that maybe an experience that appears for a brief moment on one scale might be an entire lifespan on another.

Meditative Contemplation:

I'll attempt to guide us through the concept of time dilation using meditation to reflect the idea that time is relative and subjective within the spiritual context.

Let's envision in our minds eye a set of three fractal patterns unfolding at different rates, one of them is going fast, the middle one is still, and the last one is going slow.

The Fast-Moving Fractal Pattern:

This fractal represents rapid unfolding of predetermined fractal patterns, it might symbolize aspects of life or the universe that are seemingly in flux, evolving quickly and dynamically.

This fast moving fractal could be self-similar to the fleeting moment in our lives, such as thoughts, emotions, or experiences that come and go rapidly.

It might also represent scientific phenomena that occur at high speeds, like quantum entanglement, or the fast paced unfolding of patterns of technology in our society.

The Still, Unchanging Fractal Pattern:

The still fractal radiates the concept of permanence and timelessness. It suggests an aspect of the universe that is unchanging and immutable.

This pattern might symbolize the eternal truths or the static essence of the universe that remains constant despite the apparent evolution of patterns in the physical world.

Spiritually, this might represent the unchanging nature of the soul or consciousness, constant amidst the transient world.

The Slow-Moving Fractal Pattern:

The slow-moving fractal reflects gradual evolution and subtle change. It could represent the long-term processes in nature, like geological transformations or the gradual evolution of species.

On a human scale, it might symbolize the slow but steady growth and development of an individual's wisdom, character, or spiritual understanding.

This fractal pattern could also be seen as a metaphor for the deep, underlying movements in society and culture that shape our world over centuries.

The relativity here is in the subjective experience of these obviously changing patterns. However in the spiritual context, these changes might be seen as predetermined fractal patterns in a cycle of ceaseless ending and being reborn. An illusion of change or evolution per se. So let's dive deeper.

Philosophical Exploration:

So if the universe is predestined, doesn't that mean time itself is self-similar to an already existing, grand fractal pattern? And how does a fractal view of the universe alter our perception of past, present, and future?

Time might be understood not as a linear progression but as integral to an intricate fractal pattern that perfectly repeats and does not vary at different scales. This means that the events, experiences, and phenomena we encounter are not isolated or random but are integral to a larger predetermined design.

Integrating insights from physics, specifically fractal mathematics, into the principles of my religion can add a layer of scientific grounding to its spiritual concepts. Here are several key insights from physics and fractal mathematics that might support the principles of my Fractal Frissons religion:

Fractal Nature of the Universe:

Modern physics, specifically in the study of cosmology and astrophysics, often encounters fractal patterns. The distribution of galaxies and large-scale structures in the universe show fractal-like properties. These probably mirror the fractal nature of the divine order.

Self-Similarity in Nature:

Fractals are characterized by self-similarity, meaning their patterns repeat at different scales. This concept can be seen in multiple natural phenomena, from the shapes of snowflakes to the brains structure and electrical activity. Such natural occurrences could potentially be seen as manifestations of the fractal god's design.

Chaos Theory and Determinism:

Chaos theory, a part of fractal mathematics, orients around systems that appear disordered but are governed by underlying patterns. This aligns with the idea of a predetermined universe where apparent randomness is actually part of a larger, ordered fractal pattern.

Quantum Mechanics and Determinism:

Quantum mechanics introduces the concept of probability and uncertainty at very small levels. However, the idea that macroscopic, emergent phenomena result from these probabilistic events can be interpreted as the fractal god’s way of introducing variability within a predetermined framework.

Thermodynamics and the Arrow of Time:

The second law of thermodynamics, which states that entropy (disorder) in a closed system will always increase over time, could be seen as a fractal process at a cosmic scale. This could tie into the fractal religion's view of time as a repeating pattern, where the universe undergoes cycles of order and disorder.

Mathematical Modeling of Fractals:

The mathematical modeling of fractals, using equations and algorithms, can be used as a metaphor for the predetermined nature of the universe. These models, which can generate complex and beautiful patterns from simple rules, could be seen as an analogy for how the fractal god’s simple laws shape the complex universe.

Interconnectivity and Entanglement:

In quantum physics, the concept of entanglement – where particles remain connected so that the state of one instantly influences the state of another, regardless of distance – resonates with the idea of a universe where all elements are part of a greater, interconnected whole.

And the potential future scientific discoveries that could influence the religion?

Breakthroughs in Cosmology:

New understandings of the universe's origin, such as refined theories of the Big Bang or multiverse concepts, could offer a more detailed view of the universe's fractal structure. This might reinforce or redefine the idea of a fractal god and the notion of a repeating, self-similar cosmos.

Discoveries in Chaos Theory:

Further explorations in chaos theory might reveal new ways in which apparent randomness and order interact. This could provide a scientific foundation for the belief in a universe that is both chaotic and ordered, following a fractal god’s design.

Environmental Science and Ecosystems:

Ongoing research in environmental science could uncover more fractal patterns in ecosystems and climate systems. This might influence the religion’s views on environmental stewardship and the interconnectedness of all life.

String Theory and Unified Physics:

Potential breakthroughs in string theory or a grand unified theory of physics could offer a more comprehensive understanding of the fundamental forces of nature, possibly revealing a fractal structure at the core of reality.

Explorations in Multidisciplinary Science:

Cross-disciplinary research combining physics, biology, psychology, and other fields might reveal new fractal-like connections between different aspects of the universe, further supporting the interconnectedness proposed by my religion.

These potential scientific developments could offer new perspectives and deepen the understanding of the Fractal Frissons religion, blending the marvels of scientific discovery with spiritual beliefs and practices.

Chapter 7: Vision for the Future

My long term goals for fractal frissons religion are multifaceted addressing and aligning with myriad outcomes in so many domains. I define success as making an good impact on the world through various metrics like quality of products that improve compute and decision-making decentralization, quantity of lives affected in positive ways, and productivity enhancements from project management platforms and grass roots initiatives.

Technology could see uplifts from the dreamers and mages, from fractal energy to quantum sculpting of semiconductor parts. Healthcare could see improved diagnostics and treatment opportunities. And education could see improvements in problem-solving, tailoring education spaces to be not only beautiful, but aligned with skill sharing, knowledge exchanges, and circling poised to manifest a diversity of solutions for issues that affect us all.

My aspiration is to address problems like AI development, factory farming, wealth inequality, poverty, pandemics, and climate change. Through fractal solutions tailored to various aspects of each domain, there should be good cause for hope.

Now here's some potential case studies that would exemplify reasons for this hope.

Environmental Conservation Projects:

Case Study: A community initiative that uses fractal-based models to reforest a degraded area. The project could demonstrate how understanding fractal patterns in ecosystems leads to more effective planting strategies, resulting in a richer, more resilient ecosystem.

Technological Innovations:

Caste Study: Development of a fractal-based AI algorithm for optimizing renewable energy grids. This could show how fractal principles help in efficiently distributing energy resources, thereby reducing waste and increasing sustainability.

Social Advocacy and Community Building:

Case Study: A campaign or movement that employs fractal theory in understanding and addressing social issues like inequality or community organization, demonstrating the practical application of fractal principles in societal change.

These are just a few of the endless possibilities of case studies.

Conclusion

Summarizing the core tenets of the Fractal Frissons Religion.

In essence the core tenets remain unchanged since I began this article, from immutable truths permeating the universe, to predetermination of fractal patterns part of a grand, interconnected tapestry.

Reflections on the journey of developing this belief system.

My journey through various models of needs, like the chakra energy systems or Maslow's hierarchy of needs helped visualize worlds where we address problems collectively and proactively.

I encourage you to explore the potential applications and discoveries with me. How can we apply fractal patterns to decentralize, democratize, and make accessible the treasures of our universe?

How might the concept of a fractal God be revered, worshiped, and oriented to or fro in our every day lives? What specific rituals could you habitualize to resonate with the fractal frissons of a divine power? Personally I love flowers, art and insight or vipassana meditation.

So, here's the invite: let's open up this discussion and share some brainwaves. Whether you're totally into it, just curious, or even a bit skeptical, all views are welcome. It's about mixing our experiences and perspectives to see how this fractal frissons perspective fits into our collective puzzle.