From 914fd9ee29e4ad60dc8b028d05e77e7c94b9203a Mon Sep 17 00:00:00 2001 From: SlavaVlad Date: Fri, 15 May 2026 03:29:20 +0300 Subject: [PATCH] =?UTF-8?q?=D0=9E=D1=82=D1=87=D1=91=D1=82?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- REPORT.md | 124 ++++++++++++++++++++++++++++++++++++++++ gameoflifeend.png | Bin 0 -> 19788 bytes img.png | Bin 0 -> 9407 bytes img_1.png | Bin 0 -> 7654 bytes img_2.png | Bin 0 -> 10370 bytes img_3.png | Bin 0 -> 34858 bytes stabilization_graph.png | Bin 0 -> 36973 bytes 7 files changed, 124 insertions(+) create mode 100644 REPORT.md create mode 100755 gameoflifeend.png create mode 100644 img.png create mode 100644 img_1.png create mode 100644 img_2.png create mode 100755 img_3.png create mode 100644 stabilization_graph.png diff --git a/REPORT.md b/REPORT.md new file mode 100644 index 0000000..45e384d --- /dev/null +++ b/REPORT.md @@ -0,0 +1,124 @@ +# Лабораторная работа: Клеточные автоматы + +# Университет ИТМО +**Студент:** Владимиров Владислав Александрович +**Группа:** P3322\ +**Дата:** 15.05.2026 + +## Цель работы + +Изучение принципов функционирования и приобретение навыков программной реализации клеточных автоматов как дискретных вычислительных моделей. + +## Диаграмма классов + +``` +AppState + |-- config: AppConfig + |-- action: UiAction? + +AppConfig (serializable) + |-- mode: AutomatonMode + |-- gridWidth: Int + |-- gridHeight: Int + |-- simulationSpeed: Int + |-- probability: Double + |-- oneDimensionalRule: OneDimensionalRule + |-- killAtBoundary: Boolean + +AutomatonMode: GAME_OF_LIFE | ONE_DIMENSIONAL +OneDimensionalRule: RULE_30 | RULE_90 | RULE_110 | RULE_184 + +GameOfLife + |-- width: Int + |-- height: Int + |-- killAtBoundary: Boolean + |-- initialize(probability): void + |-- step(): Int + |-- getGrid(): Array> + |-- getLiveCellCount(): Int + |-- toggleCell(x, y): void + +OneDimensionalCA + |-- width: Int + |-- rule: OneDimensionalRule + |-- initialize(centerPosition): void + |-- initializeRandom(probability): void + |-- step(): BooleanArray + |-- getGenerations(count): List + +PatternClassifier + |-- classifyPatterns(Array>): List + +ExperimentRunner + |-- runExperiments(width, height): List + |-- generateGraph(results, outputPath): void +``` + +Взаимодействие: `Main.kt` -> `MainScreen` -> `Sidebar` + `GameOfLifeView` | `OneDimensionalView`. Конфигурация сохраняется в `config.json` через `ConfigRepository`. + +## Визуализация эволюции автоматов + +### Одномерный клеточный автомат (Rule 30, 90, 110) + +Правило 30 генерирует хаотичный паттерн. Правило 90 создаёт фрактальный треугольник Серпинского. Правило 110 демонстрирует универсальные вычислительные свойства. + +#### Rule 30 +![img.png](img.png) +#### Rule 90 +![img_1.png](img_1.png) +#### Rule 110 +![img_2.png](img_2.png) + +### Game of Life (Двумерный клеточный автомат) + +Начальное заполнение: случайное (p = 0.3), поле 50x50, 100 поколений. +![img_3.png](img_3.png) +#### Стабилизация за 429 поколений +![gameoflifeend.png](gameoflifeend.png) +**Выявленные паттерны:** + +| Тип | Название | Классификация | +|-----|----------|---------------| +| Block (2x2) | Блок | Устойчивая фигура | +| Beehive (3x3, 6 клеток) | Улей | Устойчивая фигура | +| Loaf (3x3, 5 клеток) | Буханка | Устойчивая фигура | +| Boat (3x2, 5 клеток) | Лодка | Устойчивая фигура | +| Glider (5 клеток) | Глайдер | Движущаяся фигура | + +Глайдер перемещается по диагонали со скоростью c/4 (один шаг по диагонали каждые 4 поколения). Блок, улей, буханка и лодка остаются неизменными во всех поколениях. Бликер (3 клетки в линию, периодичность 2) — пример периодической фигуры. + +## Результаты экспериментов + +### Таблица времени стабилизации + +| Плотность (p) | Среднее время стабилизации (поколений) | +|---------------|----------------------------------------| +| 0.10 | 460 | +| 0.15 | 580 | +| 0.20 | 618 | +| 0.25 | 634 | +| 0.30 | 621 | +| 0.35 | 642 | +| 0.40 | 622 | +| 0.45 | 632 | +| 0.50 | 639 | + +Количество запусков на каждую плотность: 100. Размер поля: 50x50. Условие стабилизации: 10 поколений без изменения популяции (или циклические изменения между двумя значениями). + +### График + +![stabilization_graph.png](stabilization_graph.png) + +График сохранён в файл `stabilization_graph.png`. + +## Анализ результатов + +При низкой плотности (p = 0.10) система стабилизируется быстро (460 поколений) из-за вымирания изолированных клеток. Большинство конфигураций умирает в первые 100-200 поколений. + +Хаотическая фаза наблюдается при плотности p = 0.25-0.35, где время стабилизации достигает 620-640 поколений. При этих плотностях образуется максимальное количество взаимодействующих структур (глайдеры, ружья, блоки), что затягивает стабилизацию. + +При высокой плотности (p = 0.45-0.50) время стабилизации остаётся высоким (630-640), однако причина отличается: образуются крупные устойчивые и периодические структуры (улей, блоки), которые переходят в стабильную фазу без вымирания. Система не "вымирает", а кристаллизуется в насыщенный паттерн. + +Максимальное время стабилизации: p = 0.35 (642 поколения) и 0.5. Минимальное: p = 0.10 (460 поколений). + +Исходный код доступен тут вот -> https://git.illegalfiles.icu/vlad.os/systems-lab2 \ No newline at end of file diff --git a/gameoflifeend.png b/gameoflifeend.png new file mode 100755 index 0000000000000000000000000000000000000000..664f6391f7847c59b884ea3c964bfe38e6fb8bad GIT binary patch literal 19788 zcmcJ12UwHm-ggj36&0-tC_)@TRF)BxO;l72BdBZ;qC}tp1OZtBiQ1|t2pVKBl??*2 zp^RXKL}WzSgk@P#AVfAH>$?NhYTt9-_q3kxx*jDv&vW1Z@f&}*cNV3yVcm{(5C~)g z^32Ke5QyLn2xLX>539i=>Sa&C|B$s;&scasARBA={{+HiHj0A>*Izqje$Cm{0gJih zYz|RWIy4|ZS_B>!`s#5Dh>Fs0`L1rCANIhw+u6B5PM(#6Z;=&5LLj>!$dkv7ed5M@ z{o?Gf7SKhsrRbps z+S@6{n>NpVNSo*(UTEZIS1;kFceFVkZvO;Dipe9eFA?gI6R4?%kIgG1I*kZydurK$ zJE321Z1;qpK6^f`Elg)$nRFfg{&n}q6x7rd4FA|G8)rx@VwKJNw{##pDFpx8&GiVC zx_&%m%f)1xbeR-=Vdu;%q}JiO`Bctf+*N|~zA`)^6tQVu5Xm(qs1w+_1fAhG3jIWj zvrW}gi>WZ4H-QFY*1=*s?gjV|3{m+73$5l)x<~L@GIdrPW$~|`mWrlTK3sT!RS?6u z6VmpTJsuhpiQD_4!X|1+F^ug`fa+(hg+{mU^}kHe8S0~j^5$;SZwq&)n?vykVcf_oJ-(myv 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