Preheat your oven to 350°F (175°C). Grease the cake pan and set aside.
In a large mixing bowl, sift together the flour, sugar, cocoa powder, baking soda, baking powder, and salt until well combined.
Add eggs, buttermilk, vegetable oil, and vanilla extract to the dry ingredients. Mix on medium speed until the batter is smooth and uniform.
Pour in the hot water gradually while mixing, and continue until the batter is thin but laced with rich chocolate aroma.
Pour the batter into the prepared cake pan and smooth the top with a spatula.
Bake in the preheated oven for about 35 minutes, or until a toothpick inserted in the center comes out clean.
Remove the cake from the oven and let it cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.
While the cake cools, prepare the frosting by mixing powdered sugar, cocoa powder, milk, corn syrup, and vanilla extract until smooth and glossy. Adjust the milk to get a flowing yet thick icing consistency.
Spread a thin layer of frosting over the completely cooled cake to seal in moisture, then chill for 15 minutes.
Spread the remaining frosting evenly over the top and sides of the cake. Fill a piping bag fitted with a small round tip with the glossy web icing.
Pipe concentric circles from the center outward on the top of the cake to form the web, then add radiating lines across the circles with quick, confident strokes. Use the web icing for a shiny, web-like effect.
Once the web pattern is complete, set the cake aside for a few minutes to let the icing firm slightly before serving. Enjoy your spooky Spider Web Chocolate Cake!